10 October 2016
We all have some form of math manipulatives sitting around our classrooms. But did you know you do not necessarily need those top of the line, super expensive manipulatives to get the job done? Some of the best math manipulatives are easy to use objects, many of us have stashed in the back of our cabinets or laying around the house. Read below to find out my favorite top five math manipulatives and if you stay with me until the end their just might be a Freebie that makes it worth your while.
Once considered only for gamblers is no longer the case (just kidding)! Dice are seriously some of the best math manipulatives you can find. Not only can they be bought just about anywhere and are super cheap, the things you can do with them are endless. To review basic addition and subtraction roll two dice. For addition add the two die to get the sum. For subtraction take the two die and subtract to get the difference. Dice are not just for younger children, the same concept can be used to teach multiplication too. Need a few more ideas? I love to use dice to teach place value. I teach second grade, so I teach into the thousands place. When I need a time filler or want a quick review, I place students into pairs and give each student a die. They roll the die four times making a number and logging it on their record sheet (the recording sheet can be found in the FREEBIE). They then write the number in expanded, word, and model form.
Another number concept to teach with dice is before and after. You can even take it a step further and then add 10, 100, or 1000 to those numbers depending on how many dice you use. I usually just make two digit numbers, because again I work with second grade. However, the numbers could be larger for upper grades.
I love, love, love cards! I actually have a huge stash of playing cards stored in a box in my closet (guilty as charged). This is my go to whenever I need a math time filler. I pair my students up, give them a deck of cards, and let them play. My favorite quick game to use for a time filler is to have students to each throw a card down and add. Whoever reaches the sum first, wins that round and keeps the cards. The player with the most cards at the end of the round wins the game. It is a quick game of practicing facts, requires no paper, and is entertaining. I have also played this same game with subtraction and multiplication. It is just as effective with these math skills too!
Have you ever heard of the game Salute? It is a fun math learning game to play with your class using cards. In this game your students are given practice with their addition and subtraction facts, while working on their problem solving skills. Here is how you play: Place students into groups of three and give them a deck of cards. One student is the "general" and the other two are the "soldiers". When the general calls salute, the soldiers raise a card to their heads. The general quickly gives them the sum of the two cards, and the soldiers compete to determine the values of their cards, by looking at what the other player has (it is kind of a version of Head Bandz, but with a deck of cards). The roles rotate, so each student gets to practice both with subtraction and addition facts for the numbers one to ten.
I have made a Saluting with Addition and Subtraction score sheet to be used during this game. Each student would get a copy of the score sheet to keep up with their points and to help them see the numbers they are working with. The score sheet can be found in the FREEBIE.
For upper grades a fun math game to play using a deck of cards is called Fraction Draw. Here is how you play: Put your students into groups of four and give them a deck of cards. The students will place all of the cards face down. Each play draws two cards and creates a fraction with their cards, by placing the smallest number on top of the largest number. All of the fractions are compared. The player with the largest fraction, wins that round and gets to keep ALL of the cards from the other players. The game continues until the deck is emptied. The player with the most cards wins the game.
Besides the fact I use counters for almost all my game boards and game pieces, the flat two sided colored objects have more purpose than game boards alone. When I need to review 10 facts or basic addition and subtraction with ten frames these math manipulatives are my best friends. They are the perfect size for fitting in a ten frame. Plus, the students are able to see what it is being added and taken away, making the basic addition and subtraction problem much easier to solve. Counters are perfect for those just learning their facts. They work great for making 5, 10, 15, or 20.
Just as unifix cubes work great to make patterns, you can actually use counters to make patterns too! Although you are only working with two colors you can still set up many pattern types such as: aabb, aba, and aabba.
For upper elementary students counters can come in handy to help teach basic fractions. The Math Manic, has an easy no prep game for teaching basic fractions and showing how fractions can have equal parts. Be sure to visit The Math Manic to see the easy instructions on how to play. This is a perfect game for students who may need a little extra push or intervention with fractions.
Unifix cubes have been around for a long time. I remember my teachers using them when I was in elementary school, and I can assure that was longer than I care to remember. Yes, they are great for teaching lower elementary kids how to count and sort into groups of colors. But unifix cubes can be used for other mathematical concepts too. Clear the Board is a great game to play with upper elementary that helps develop the concept of probability. Each kid is given 10 unifix cubes and two dice. They randomly place 10 cubes on the board wherever they choose. The student the rolls the 2 dice. If they roll a number that has a unifix cube on the board they remove it. They play until the first player CLEARS THE BOARD! This game is included in the FREEBIE!
I also love the game I found on Primarly Speaking's blog called, Walk the Plank. All you need is a wooden paint stick, unifix cubes, and your all set to practice you basic addition facts. You can read all about the super easy, but fun game here.
Unifix cubes can also be used to teach patterns. You can start with simple patterns such as: aabb, abab, or abc. Once the student has mastered simple patterns, then have them approach more difficult repeating patterns such as: abcdd, abbccda, or abaccdd.
Base Ten Blocks
Base Ten Blocks are must for the grade I teach, which is second. I know they are a must for the first grade teachers at my school too. Place value is a skill which must and has to be taught correctly. It is the foundation for most other math skills such as: addition and subtraction (with and without regrouping), rounding, multiplication, division, decimals, and much more. If a child does not have a clear understanding of place value it will lead to problems in other math areas.
What is really great about base ten blocks is that you can find them just not as manipulatives, but in technology and video explanations too! Below is a video that shows regrouping using Base Ten Models.
Below are digital deck cards you can find on Boom Cards. Many TpT authors have put their task cards on this digital platform. Kids love to practice their place value skills using the digital platform.
Base ten models can be used to build numbers. One of my favorite things to use base ten blocks for is to build numbers. For the younger elementary students they will build numbers with one or two digits. However, you are not limited to just younger students, older students can benefit from base ten models too. They can practice building number in the thousands, ten thousands, and so forth. Also, it is great practice for them to trade ones for tens, tens for hundreds, and so forth.
Although these math manipulatives are not new and have been around for a while, I hope you were able to find a new idea or a new way to implement them in your classroom. Remember sometimes we don't necessarily need the top of the line materials to get our point and lesson across. We just need to make learning fun! If you would like to get some of these games and printables for FREE click on the image below and visit my TpT store.
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It was in 1996 when I was first introduced to Oasys Slope Stability software. That was during my MSc dissertation project and I was supervised by Prof Charles Harris. The main objective of the study was to evaluate the stability of a huge landslide, located in Bournville, Wales, United Kingdom. I used Oasys SLOPE Version 3.5 to complete the modeling work.
|Figure 1. Satellite view of my study area located in Bournville, Wales UK|
|Figure 2. Front page of my Msc dissertation|
|Figure 3. Mathematical model of section 4-4 before the failure with non-circular slip surface|
|Figure 4. Ideal mathematical model of the slope 1 with FOS = 1.004|


· How many kilograms in a cubic meter of 20 MM of aggregate. How many kilograms in a cubic feet or cubic meter of 10mm and 20 mm of aggregate? Answer . One cubic feet = 40 Kilogram that is One cubic meter = 1411.50 Kg. » More detailed.
Metre To Tonne Of 20Mm Aggregates Metric tons or tonnes to kilograms formula kg t 00010000 kilograms the kilogram is the base unit of mass in the international si system of units and is accepted on a daytoday basis as a unit of weight the gravitational force ...
Concrete 1 cubic meter volume to kilograms converter
For this you have to calculate the bulk density of aggregate plus also you have to consider the air cavity and other things… normally the bulk density of aggregates r about 1.6 to 1.8 kg/m2 this for 1 cubic meter aggregate should be weight about 1...
How many tonnes are in 1 cubic meter of stone aggregate May 21, 2018 wt of stone Aggregates is 1600 kg/cum Ans : 1.6 ton Aggregate Materials Calculator... Live Chat Concrete mix design planete tp : All about public works
How many cubic feet in a ton of stone chips:– stone chips is most important construction material used in construction industry of various project, density of a stone chip is around 1600kg/m3, it means 1 cubic metre of a stone chip weight is 1600 kg, 1m3= 35
· Divide the mass in kilograms by the density in kilograms per cubic meter to obtain the volume in cubic meters. For one ton of gold, the calculation is 1,000 kg/(19,300 kg/m^3) = 0.05 cubic meters. How many m3 are in a tonne of soil? One cubic metre of tonnes ...
The answer is 852.11336848478. We assume you are converting between kilogram [sugar] and cubic metre. You can view more details on each measurement unit: kilo gram or cubic metre. The SI derived unit for volume is the cubic meter. 1 kilo gram is equal to 0.001173552765377 cubic meter.
kg aggregate in a cubic metre of concrete As a leading global manufacturer of crushing, grinding and mining equipments, we offer advanced, reasonable solutions for any size-reduction requirements including quarry, aggregate, and different kinds of minerals.
how many kilograms of aggregates are in a cubic metre Convert cubic meter of aggregate to kg answers for one cubic meter of m cement, you need kg of fine aggregate and kg of coarse aggregate the water cement ratio should be at how to calculate cement, sand, amp aggregate quantity in
1 kg wt. = 0.001 m 3 / cu m Definition of cubic meters of water provided by WikiPedia The cubic meter (in American English) or cubic metre (in British English) is the derived unit of volume. Its symbol is m 3 It is the volume of a cube with edges one metre in length.
How Many Kilograms Of Aggregates Are In A Cubic Metre Dec 20 2007a cubic meter of the lighter would weigh 7000 kg while the same volume of the heavier would weigh 9240 kg mvbirdo is correct for all practical purposes but strictly speaking the density of water ...
Cubic meter, provide the length x width x depth multiply equals tonnage, use our weight tables Weight Conversion Tables How may tonnes in a cubic metre - This one of the many questions we are asked Dry sand fine 1.28 tonnes per cubic metre Dry sand coarse 1.6 tonnes per cubic metre
In a standard cubic metre of concrete, this amount of crushed rock forms a sturdy framework for the mix, while the size and shape of the aggregates will influence workability. 1 Cubic Meter of Concrete 1m 3 of concrete = 150l water + 250kg cement + 700kg
Amount: 1 cubic meter (m3) of volumeEquals: 2,406.53 kilograms (kg - kilo) in mass. Converting cubic meter to kilograms value in the concrete units scale. TOGGLE : from kilograms into cubic meters in the other way around.
· How many cubic meter are in One ton of 20 MM coarse aggregates How many kilograms in a cubic meter of 20 MM of aggregate? … Only if you have pure water, the volume of 1 cubic meter weighs of 1 tonne or 1,000 kilogram … »More detailed What is the ...
How many cubic meter are in One ton of 20 MM coarse aggregates. How many kilograms in a cubic meter of 20 MM of aggregate? Only if you have pure water, the volume of 1 cubic meter weighs of 1 tonne or 1,000 kilogram 187;More detailed.
Weight Conversion Tables. How may tonnes in a cubic metre This one of the many questions we are asked Dry sand fine 1.28 tonnes per cubic metre Dry sand coarse 1.6 tonnes per cubic metre Topsoil (some moisture) 1.44 tonnes per cubic metre
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· So how big is a bulk bag? The answer is.... it can vary but most bulk bags (also known as dumpy bags, tonne bags and jumbo bags) will sit around 80cm to 90cm high and around 75cm to 85cm in width. Additionally they are often standing on a pallet which is normally around 1m 2 with the pallet itself being around 9cm high. These sizes can vary ...
Quantity Calculator. If you are unsure how much aggregate you need, use our calculator below. Select your aggregate type, then enter your measurements below. You will need: 18.7 tonnes of this aggregate type. You will need: 24.93 bulk bags of this aggregate type.
· How many kilograms in a cubic meter of 20 MM of aggregate? aggregate: cover 789 kg / cubic meter. Thank you, Rashid How many kilograms in a cubic feet or cubic meter …
Do a quick conversion: 1 cubic meters = 1000 kilograms using the online calculator for metric conversions. Check the chart for more details. More information from the unit converter How many cubic metre in 1 kilogram [water]? The answer is 0.001. We assume you ...
1 cubic meter 20 mm aggregate weight in Kg - Civil Sir 10/08/2020 1 cubic meter 20 mm aggregate weight in Kg. Aggregate are used in Building, Bridge, dams Construction aggregate, or simply aggregate, is a broad category of coarse- to medium-grained particulate material used in construction, including sand, gravel, crushed stone, slag, recycled concrete and geosynthetic aggregates.
How many kilograms in 1 cubic meter of coarse. Coarse aggregate 110 cubic meter for every cubic meter how many kilograms in a cubic meter of 20 mm of aggregate only if you have pure water, the volume of 1 cubic meter weighs of 1 tonne or 1,000 kilogram 20mm metal weight for 1 cubic meter grin.
One cubic metre of quarry stone is equal to how many kilograms Products As a leading global manufacturer of crushing, grinding and mining equipments, we offer advanced, reasonable solutions for any size-reduction requirements including, One cubic metre of quarry stone is equal to how many kilograms, quarry, aggregate, and different kinds of minerals.
At 0 °C, the freezing point of water, a cubic metre of water has slightly less mass, 999.972 kilograms. One cubic foot of concrete weighs about 144.05 lbs, so one cubic meter of concrete equals 2307.46 kg/m^3 or 5087.08 lb/m^3. This can vary depending on strength, additives, and other factors.
Example calculation Estimate the quantity of cement, sand and stone aggregate required for 1 cubic meter of 1:2:4 concrete mix. Ans. Materials required are 7 nos. of 50 kg bag of cement, 0.42 m 3 of sand and 0.83 m 3 of stone aggregate.
· How many cubic meters are in a bulk bag of sand? Typical bulk densities for dry sand range from around 1500 to 1700 kg per cubic metre. Depending on the mineralogy of the sand, and the degree of compaction. Let us run with 1600 kg/m3. so, a cubic metre weighs a tonne (that''s the lingo for 1000 kg in my island). Click to see full answer.
· Cubic meters can only be converted to kilograms if the density of a substance is known. If density is known, then multiplying the number of cubic meters by the density (kg/m^3) derives the number of kilograms. Density must be measured in kg/m^3 in order to convert the number of cubic meters to kilograms through simple multiplication.
Cubic meter of what? Concrete, Cement mortar or just plain Cement. If you are talking about concrete then you have to mention mix of it, is it 1:2:4, 1:3:6, 1:4:8 or design mix like M-25 or any other design mix. If Concrete mix is 1:2:4 then weig...


Baseball and math, together as one.
Pi Day is March 14. That’s Tuesday, like right now, as I’m writing to you. Pi is that wonderful mathematic constant that helped all of us figure out the size of circles when we were in grade school. In decimal form, it starts:
3.14159 26535 89793 23846 26433 83279
Coincidentally, here are the Colorado Rockies, lined up along the first base line before a spring training game on Tuesday afternoon:
You can spend as much time as you want trying to fact-check this baseball team. I certainly did. There was no way, I thought, that they’d go all-in on this and actually spell out more than a few decimal points of Pi, on Pi Day. Couldn’t be done.
The Rockies, by everything we can see in this picture, lined up according to the first 20 decimal points of π. These aren’t even regular baseball numbers, in many cases, and it seems likely that the team had to make some adjustments to make it work. The final product looks cool, though.
Some skepticism around these things is fair, and I looked through a web app to see if I could find proof of Photoshopping, but I didn’t. If it is, well, nice work.


In Ms. Bruni’s room, we finished Topic 15 in math: Solving Measurement Problems. We are finishing Topic 16, which is on lines, angles and shapes. This topic focuses on line segments, rays, types of angles, adding and subtracting angle measurements and geometry.
We will continue to practice multiplication fact fluency until the end of the school year. Students should continue to practice multiplication facts at home for the rest of the school year and over summer vacation. Flashcard practice or multiplication games will be a great way to practice fact fluency.
For reading, we are reading stories that are tall tales. Our theme for reading is “What are some reasons people moved west?” A reading comprehension skill we are using is cause and effect to help us understand the sequence of story events. We are also visualizing what we read to help us understand, enjoy and remember the story.
Thank you, students, for all your hard work this year, and thank you, parents, for supporting your fourth-graders this year!


A record £50.4m jackpot was not won in Wednesday’s National Lottery draw and will roll over to Saturday.
The new estimated jackpot of £57.8m must be won or shared out on Saturday, operator Camelot said.
Camelot the National Lottery organiser says it sold about 200 tickets per second in the hour before ticket sales closed at 19:30 GMT.
The previous largest jackpot was £42m, which was shared between three separate ticket holders in January 1996.
The National Lottery website crashed at about 18:00 on Wednesday, leaving people unable to purchase tickets for the draw for about 10 minutes.
Parts of the website – including the result page and sign in page – remain down with an error message saying they are “extremely busy”
Wednesday’s jackpot is the result of 13 consecutive rollovers and follows the number of balls in the draw increasing from 49 to 59 in October.
This reduced the odds of a player getting six numbers from about one in 14 million to one in 45 million, mathematicians say, but Camelot argues its rule changes have increased the chances of becoming a millionaire.
New Camelot rules mean the jackpot prize is shared out in the first draw after the prize reaches £50m.
This means if no player matches all six numbers on Saturday the prize will be shared between winners in the next tier where there is at least one winner – most likely those who have five main numbers and the bonus ball.
Camelot said this would make it “some of the best odds players have ever had to win a multi-million pound life-changing jackpot”.


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Calculating odds in relation to on-line casinos can be easy arithmetic. Nonetheless, in relation to odds we all know that we will imagine the numbers primarily based on probability. The most effective casinos on-line will at all times provide the odds for every on line casino recreation you resolve to play. Additionally included within the data would be the ‘home edge’ – that is the share the on line casino website takes to be able to make a formidable revenue.
Earlier than being fooled into believing you may make on the spot tens of millions using a playing system, consider a easy coin toss. You possibly can simply apply a mathematical strategy to tossing a coin and predicting the result of whether or not it would land on heads or tails. It is the identical ideology behind the query: If you happen to toss a coin 9 occasions with the consequence being tails each time, the maths or odds inform us that the 10th time ought to end in heads. Have you ever ever tried it? Contemplate it an experiment of types and see should you can predict the consequence every time the coin falls.
Relating to coin tossing the chances are fairly straight ahead – you could have a 50/50 probability of getting it proper. The identical when throwing the cube on sure forms of on line casino video games, both sides has a set of odds for arising. For instance, the chances of rolling a six on the cube is one in six. It is easy arithmetic – however a system? Completely not.
Common on line casino recreation and the methods have been round for greater than a century. Probably the most standard on line casino video games to make use of methods is Baccarat. With Baccarat you will discover methods like Parlay, Martigale, and D’Alembert to call only a few. These methods base their claims on mathematical methods, telling on-line on line casino gamers that they’ve the key to successful cash – simple cash from the sport and from the web on line casino internet hosting it.


You may not find it challenging at all!
Say a plane departs from point A with a destination of point B, 200 miles away. Halfway there, the pilot finds that he is one mile off course. He makes a correction and flies directly to point B. How much extra distance did he fly by being off course?
A) 1/100 of a mile
B) one mile
C) two miles
D) 20 miles
The answer is1/100 of a mile. The pilot had flown about 100.005 miles (the square root of 100 squared + 1 squared) at the halfway point. So he had flown 200.01 miles by the time he got to the destination.


This unit was a good one during which to start my blog. Puns galore.
Today was the first time the students saw the “therefor(e)” symbol – three dots in a triangle, with the bottom two dots determining a line parallel to the bottom of the paper. Picture it – because I can’t type it. Or don’t know how anyway. It’s not a big deal either way. In any case, where did this thing come from? “Why do three dots mean therefore?” No lie. A direct quote from a student in each of my three sections. A conspiracy, perhaps? Having anticipated this question – and indeed the only reason I even introduced the symbol is because I had what I thought was a good answer – I was quick to respond. Well, in a 1659 book by Johann Rahn, the symbol was introduced sort of arbitrarily. A lot of work was being done with proportions at the time, and to solve for an unknown quantity, one must know the other three parts. Three dots meaning the problem could now be solved. I have all three parts, THEREFORE, the answer must be _________. I’m not sure about the validity or accuracy of this answer, but nobody questioned it. Mission, one-third complete.
Working with rules of square roots…a square root is something to the half power. Side note: during this part of the lesson, a girl asked me why they are called “radicals.” I said the Latin word for root is radix – the same place the symbol came from (a bastardized “r”). I never made this connection before, but she said “radishes are roots. Is that why they’re called radishes?” It made sense, and all I could do is thank her for actually using her brain. Which I did. So anyway, I connected today’s properties of square roots – which the book treats as a completely new thing – with the properties of exponents we learned months ago. I think it helped understanding. It’s not new – it’s just a new twist on an old topic. I used to hate when teachers said it to me. I now know why – it’s true! If any of you are students – listen to your teachers. In general, they’ll know what they’re talking about. If not, you’ll know. Question when unsure, not just to be a jerk. Two-thirds.
As far as connecting the history together? It was a stretch today, but a while back I taught them that the division symbol (horizontal line with a dot above and a dot below) is called an obelus. Who introduced that one? Johann Rahn. A connection! three-thirds done and just in time. Bell’s about to ring. Have a super night


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Multivariate Statistics Introduction 1 Population Versus Sample 2 Elementary Tools for Understanding Multivariate Data 3 Data Reduction, Description, and Estimation 6 Concepts from Matrix Algebra 7 Multivariate Normal Distribution 21.
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Book Published New York: Wiley,  Language English Related Title Multivariate statistical analysis. Series Wiley Publications in Statistics Description p.: ill. ; 24 cm. Notes Includes bibliography.
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and Dunn, G. (), published by Arnold. [Roger Johnson] Rencher's Methods of Multivariate Analysis is a great resource. I think a strong undergraduate student could grasp the material. [Philip Yates]. I'm fond of Rencher's approach. Welcome to a Little Book of R for Multivariate Analysis.
Download Introduction to multivariate analysis EPUB
By Avril Coghlan, Wellcome Trust Sanger Institute, Cambridge, U.K. Email: alc @ sanger. This is a simple introduction to multivariate analysis using the R statistics software.
MULTIVARIATE ANALYSES INTRODUCTION • Multivariate analysis is used to describe analyses of data where there are multiple variables or observations for each unit or individual. • Often times these data are interrelated and statistical methods are needed to fully answer the objectives of our research.Introduction to Multivariate Analysis book.
Introduction to Multivariate Analysis. DOI link for Introduction to Multivariate Analysis.
Details Introduction to multivariate analysis PDF
Introduction to Multivariate Analysis book. By Chris Chatfield. Edition 1st Edition. First Published eBook Published 19 February Pub. location New York. Buy An Introduction to Multivariate Statistical Analysis, 3rd Edition (Wiley Series in Probability and Statistics) 3Rev Ed by Theodore Wilbur Anderson (ISBN: ) from Amazon's Book Store.
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The vector equation of a straight line passing through a fixed point with position vector a → and parallel to a given vector b → is. r → = a → + λ b →, where λ is scalar. Note : In the above equation r → is the position vector of any point P (x, y, z) on the line. Example : Find the equation of plane passing through the point i ^ + j ^ + k ^ and parallel to the plane r →. 2 i ^ – j ^ + 2 k ^ = 5.. Example: Find the equation of the plane containing the line of intersection of the planes x + y + z – 6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1), Solution : The equation of the plane through the line of intersection of the.


Calculating Convergent Infinite Series on a Non-CAS Calculator
Some times it’s necessary to calculate a series, be it a summation or integral that has infinity as one it’s boundaries. Well, most modern scientific calculators aren’t really Computer Algebra Systems and therefor don’t understand what infinity is. But, depending on the accuracy needed, and how fast it converges, normally using 100 or 1000 is good enough. Sometimes, it does take a little bit of tweaking. But, in general, it’s not hard to work out.
NOTE: All the examples are done on a Casio Prizm, but the principle is the same, and it should apply to any calculator that can do summations and integration.
NOTE: I’m going to assume you know how to use your calculator to do summations and integration problems.
As an example, here is a summation that is known to converge on 1:
In this case, 100 was good enough to replace infinity with.
Here is another example from the era of Newton:
Sometimes, to get more accuracy, you may need to add a zero or two:
This one converges on ln 2, and using 1000 gets close enough for most applications, but if you need more accuracy, you may need to go to 10000 or even higher.
The Same principle applies to integrals:
Just as before, sometimes you have to add 0’s to get the accuracy you may want:
This one converges on pi/2, but it could take adding a few zeros.
Sometimes, to get to the real answer, you need to play with it a bit:
In these two examples, you can see that as you add zeros, you and 9’s to the accuracy. Since 0.99999... = 1, this series converges on 1 ( which it does ).
As you can see, it’s not hard to simulate infinity, with in the accuracy confines of your calculator. Just remember, the more zero’s you add, the longer it will take to calculate. In the above examples, none of them took more than a few seconds, most came back instantly. But on an older or slower calculator, it may take time to process.


They can be written as a ratio of two integers. This article concentrates on rational numbers.
Such a protocol often conflicts with presenting a digit sequence with the last digit correctly rounded. Although many early computers worked in base ten, these days a binary base is usual, be it 2, 4, 8, or Rather than engage in fancy schemes, here are two "brute force" methods.
But if the best value for Q involves factors other than two and five, this won't work well. Once beyond small numbers there are many small improvements to be found, so only those much better than the previous best are reported.
Which is not a good approximation for Pi, and its pairs diverge from those of the more accurate value. Plays with some integer arithmetic. Of these two integers. These copies might as well be the right way around.
Divide N by M to get the remainder R. M-multiplicity has been removed from N.
No point dividing by one. By contrast, this is rather crude. Its latest rational approach. Perhaps there is a common factor. For a proper rational number. So, where did we end up?
Use brute force in a different way. A largeish value for the first try. Significantly better than before? Demand eightfold improvement to notice. We may land on a multiple.
Try to align columns. Perhaps we landed a direct hit? So much for possible announcements. Is R too small? Make P bigger by the shortfall. But perhaps R is too big?
If so, use a smaller interval. So much for adjustments. Limited integers, limited sense. Try a crude method. Try a laborious method.Mathematics Glossary» Glossary Print this page. Addition and subtraction within 5, 10, 20, , or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range , , , or , respectively.
The Rational Numbers Next are the rational numbers. A rational number is any number that can be expressed as the quotient of two integers. We can use any of these fraction notations to express rational numbers: a is called the numerator and b is called the denominator.
The denominator cannot be zero. Ratio/Proportion Word Problems Relating Two Things Together: a Rate. It takes 2 minutes to print out 3 color photos on Erin’s printer. Write an equation relating the number of color photos \(p\) to the number .
As some others have noted, the correct answer is to use either DecimalFormat or pfmlures.comng-point doesn't have decimal places so you cannot possibly round/truncate to a specific number of them in the first place.
You have to work in a decimal radix, and that is what those two classes do. The task is to write a program to transform a decimal number into a fraction in lowest terms. It is not always possible to do this exactly.
For instance, while rational numbers can be converted to decimal representation, some of them need an infinite number of digits to be represented exactly in decimal form. 2) Write the number without using bar and equal to x.
3) Determine the number of digits having bar on their heads or number of digits before the bar for mixed recurring decimal. 4) If the repeating number is 1 then multiply by 10; if repeating number is 10 then multiply by and so on.


In mathematics and computing, the hexadecimal (also base 16 or hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16.
Unlike the common way of representing numbers using 10 symbols, hexadecimal uses 16 distinct symbols, most often the symbols "0"-"9" to represent values 0 to 9, and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15.
Hexadecimal is used in the transfer encoding Base16,
in which each byte of the plaintext is broken into two 4-bit values and represented by two hexadecimal digits.
Advantages of Hex encoding -
Most programming languages already have facilities to parse ASCII-encoded hexadecimal
Being exactly half a byte, 4-bits is easier to process than the 5 or 6 bits of Base32 and Base64 respectively
The symbols 0-9 and A-F are universal in hexadecimal notation, so it is easily understood at a glance without needing to rely on a symbol lookup table
Many CPU architectures have dedicated instructions that allow access to a half-byte (otherwise known as a "nibble"), making it more efficient in hardware than Base32 and Base64


Which is cooler, zero or infinity?
Before he fully spoke English, Tai's first language was math. He loves numbers!
Now he's talking to mathematicians about the ultimate coolness of two very special numbers: zero and infinity.
This episode features:
- Dr. Eugenia Cheng, scientist in residence at the School of the Art Institute of Chicago and author of How to Bake Pi and Beyond Infinity
- Dr. James Grime, mathematician, public speaker and creator of the singingbanana YouTube channel
Theme music by Johnny Spence. Closing song by Tai Poole and Johnny Spence.
Photo by Yasmine Mathurin.


Why This Tool Exist?
Are you tired of manually converting numbers to words? Do you find yourself constantly double-checking your work to make sure you didn't miss a digit or misplace a comma? Look no further than the Convert Number to Words Tool!
Our online tool is the perfect solution for anyone who needs to quickly and accurately convert numbers to their corresponding word form. Whether you're a student working on a math assignment, a professional filling out a financial report, or just someone who wants to make sure their check-writing skills are up to par, our tool can help.
Using our tool is simple and straightforward. All you need to do is enter the number you want to convert into the designated field on our website. The tool will then generate the word form of the number, which you can copy and paste into your document or write out by hand.
One of the great benefits of our tool is that it can handle large numbers with ease. Whether you need to convert a number with six digits or sixteen, our tool can accurately convert it to its corresponding word form. This is particularly useful for professionals who work with financial data, as they often deal with numbers that are too large to write out by hand.
In addition to being able to handle large numbers, our tool can also handle decimals and negative numbers. This makes it a versatile tool that can be used in a variety of contexts. Whether you need to convert a decimal number to words for a science experiment or a negative number for a financial report, our tool has got you covered.
But our tool isn't just useful for converting numbers to words. It can also be a helpful learning tool for anyone who wants to improve their spelling and number recognition skills. By using our tool to practice converting numbers to words, you can strengthen your ability to recognize and spell numbers correctly, which can be helpful in a variety of academic and professional contexts.
Overall, the Convert Number to Words Tool is a valuable resource for anyone who needs to quickly and accurately convert numbers to their corresponding word form. Its ease of use, versatility, and ability to handle large numbers, decimals, and negative numbers make it a must-have tool for students, professionals, and anyone who wants to improve their number recognition and spelling skills. So why wait? Try our tool today and start converting numbers to words with ease!


Maths Of Choosing Best Option
Maths degrees and careers - xaze.xn--80amwichl8a4a.xn--p1ai Choosing Year 9 Options: Hello guys,This instructable is basically about choosing "Options" in Year 9. Options are choices which a student makes in their 9th Year, to decide which subjects they, themselves actually want to learn.
I have made this instructable because, my ti. CBSE has introduced 2 Maths Paper for Class 10 - Maths Basic and Maths Standard.
Choosing the Best Math Strategy - The Classroom Key
Students have to choose one of them to give in their Board Exams. We at Teachoo have solved all the confusion about both of them and have also found a way to help you choose. · Looking for the right career options after 10th in Commerce?
Mathematical Way to Choose a Toilet - Numberphile
Well, you are in the right place. This blog elaborates on the best career options after commerce with and without maths along with professional courses in commerce and what it takes to build a successful career in commerce, xaze.xn--80amwichl8a4a.xn--p1ai of the biggest decisions for students around the age of is trying to decide between the. · Which course is best after 12th commerce without maths?
Maths Of Choosing Best Option. CBSE Students Can Pick Maths In Class 11 Without Clearing ...
There are a plethora of courses available after 12th commerce without maths that you can choose from. Some of the sought-after courses include, BBA, Bcom, BMS, Bachelor of Law, Bachelor of Foreign Trade, Accounting courses, Hotel Management and Travel and Tourism courses, amongst others.
Step 7. Choose the best option
· Choosing the Best Math Strategy. Improve math fact fluency for addition and subtraction by teaching first and second graders how to choose the best math strategy for a fact.
Best Courses in Mathematics 2021
Matching Strategies to Equations. Problem: I’ve taught my students lots of math fact strategies but how do I get them to put those strategies to use?!? Each degree can be taken with Option A: Mathematics or Option B: Mathematical Sciences. The mathematics option is chosen by most students. The mathematical sciences option combines the study of mathematics, statistics and computer science and prepares students for careers involving the applications of mathematics.
The term ‘options’ is used to describe the subjects children can choose to take at GCSE level. Children usually choose their options towards the end of Year 9.
They then spend Years 10 and 11 studying these subjects, leading up to their GCSEs in the summer term of Year Eduncle has complied all the options available for students with Maths at one place to help you compare and analyse them so you can make the best decision for your future. Engineering. Engineering is the most popular career option amongst PCM students. To become an engineer a student needs to pursue xaze.xn--80amwichl8a4a.xn--p1ai degree.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. How to choose best option overall? 0. probability of choose team. 0. Probability of choosing the correct option.
0. How to choose best. · For those who have a head for figures, pursuing a job related to mathematics is a choice that can add up to a rewarding and lucrative career. Whether they are using math to solve business problems or help an individual make investments that will fund their retirement nest egg, students who love math can use their degrees in a number of ways after graduation.
The idea behind Options Math for Traders + Website is to help retail option traders understand some of the basic tenants and enduring relationships of options, and option math, that professional and institutional traders rely on every day. This book skillfully highlights those strategies that are inherently superior from an option math point of Reviews: A practical guide to the math behind options and how that knowledge can improve your trading performance No book on options can guarantee success, but if a trader understands and utilizes option math effectively, good things are going to happen.
The idea behind Options Math for Traders + Website is to help retail option traders understand some of the basic tenants and enduring relationships of. · Finding the best fit: New DP mathematics courses J in Classroom culture, Diploma Programme (DP) After a seven-year curriculum review, two new subjects in mathematics will be replacing the current four subjects in Whereas Physics and Chemistry are compulsory subjects for the students considering the science stream, they do have an option of choosing whether they want to study Mathematics and/or Biology with the aforementioned two.
Here, we will talk about picking up PCMB, i.e., both Maths AND Biology along with the usual selection of Physics and Chemistry. Choose The Best Answer - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Whole book questions part 1 choose the best answer for, Whole book questions part 1 choose the best answer for, Idioms test 1, Choose which communication methods to use, Choose the best measure of central tendency, Electricity unit, Tests with answers, grammar and.
For students taking the IB, Language A Literature, History, a Language B option, Classical Languages and Mathematics are good 'keystone' subjects to study at Higher Level: choosing one or more of these will provide a good foundation for your subject combination. Group 1: Language A Literature. Group 2: a Language B option, Classical Languages.
· New Delhi: Central Board of Secondary Education, CBSE Class 10 Board Exam would begin from xaze.xn--80amwichl8a4a.xn--p1ai application form process is underway at various schools. For the first time, students have an option of choosing basic maths.
To help you make an informed choice Teachers list out the problems students could face if they choose basic maths as an option. We have complied a list of career options that can be pursued after studying BSc in Maths. Scope for Higher Studies after xaze.xn--80amwichl8a4a.xn--p1ai Maths. Postgraduate: MSc and PhD: After completing bachelor degree, BSc candidates can pursue Master’s Degree in Mathematics followed by Ph.D or xaze.xn--80amwichl8a4a.xn--p1ai It is the best courses opted by science graduates.
In our life, in our whole world mathematics is known as the universal subject. You can do each and everything in study with mathematics by some extra effort. As plant growth depends on the specific root similarly men’s growth totally based on math.
Choosing the right Year 11 Mathematics course (Maths Standard 2, Maths Advanced, Maths Extension 1) The different levels of Mathematics have different requirements for student competency and ability. To help students determine which Mathematics course is appropriate for them, we have created a flowchart that illustrates the level of achievement. Students desirous of choosing Basic Mathematics are required to select the course at the time of filling the LOC, last date of which is September This option was introduced in keeping in mind that many students who do not wish to continue mathematics in higher classes often find level of mathematics a concern.
so you will not choose the third if it is the worst of the first three, you might or might not choose it if it is the middle of the first three (it makes not a difference to the expectation, but choosing in the case does reduce the risk of getting the worst), and you will choose the third if it is the best of the first three. In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter (unlike permutations).For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange.
Best Mathematics Career Paths | Learn How to Become
With a focus on STEM education in schools and in the media, there are tons of apps and websites that promise to improve kids' math skills. But it can be hard to find the best tools out there that really help build skills and promote a love of xaze.xn--80amwichl8a4a.xn--p1ai can practice math at all levels with these terrific digital tools, from homework helper websites to math games to keep kids engaged for hours.
Use data collected in the previous lesson to select a plan for a trip to Disneyland or Disney World. Welcome back to statistics class. Undoubtedly more important that understanding the Black-Scholes model for pricing (which we purposely don't cover) is your.
Option 1: Option 2: Option 3: All-Subject Package: Reading with History Package: Individual Subjects: Choose an easy-to-order package with everything you need to teach all subjects for one child for a full school year. Use the tabs along the top of the website to see the All-Subject Package for each level. The decision-maker has to choose the land-use option that best meets the goals. Figure 12 represents decision-making as a process of choosing between a range of options, with the preceding steps of land-use planning shown as a decision support system.
It may be obvious which option is best, or else the choice may involve careful judgement. Choosing which math classes to study can be one of the most challenging parts of planning your high school schedule.
High schools offer numerous math classes, often at varying degrees of difficulty, and it can be difficult to know which math classes will be the best for you and your future.
Where Can Math take me? | Mathematics
Read this guide to learn about standard high school math curriculum, AP and IB math courses, which math. You ask this question as if the subjects that you mention will limit what you can do career-wise. Not so, it depends on where you interests lie, your age to some extent, you ability to learn and the amount of effort you are prepared to put into it.
Mathematics specializations. You can expect to study a range of introductory courses in your first year, covering key mathematics topics such as abstract algebra, calculus, complex numbers, differential equations, geometry, number theory, probability and statistics.
Factoring strategy. Learn how to choose the best factoring strategy when factoring polynomials. The following is just a guideline so you know how to approach the problem without wasting too much time using the wrong approach. · All topics are important in mathematics but your choice, your interest matter the most to you, to choose a topic and study with passion.
Mathematics is a galaxy of different fields of study and. For example, you might choose to take largely statistics modules, and may even have the option to be awarded a degree in, say, statistics rather than mathematics. Alternatively, you could apply for a degree that sounds a bit more specialised, such as maths and statistics or applied maths.
· 6. Start your own company: Entrepreneurship can be the best option to chase your dreams and interests on your own terms.
If you have a brilliant idea, are comfortable taking risks and have confidence in yourself, then go ahead and be your own boss. 7. In this video, we're going to talk about choosing the best options strategy for whatever situation you're faced with in the market or whatever situation or setup that you're looking at. Now, as a reminder, we have proved that options pricing is overstated or rich long-term because implied volatility always overstates the expected move of an underlying stock, ETF, or index.
The less math you know, the better off you are (a) learning math yourself as quick as possible, and (b) finding a good solid basal curriculum. So, you want to find the best math curriculum for your situation. For starters, please read these short descriptions of some popular homeschool math curricula, and notice how they vary. · Learn more about some of the best careers for those with a knack for numbers. The following sections cover careers with a math degree, median salaries, degree types, and continuing education options.
Math Career Outlook. The Bureau of Labor Statistics (BLS) projects a 27% job growth rate for math occupations between anda rate. Decision Matrix Analysis works by getting you to list your options as rows on a table, and the factors you need consider as columns.
How to Choose the BEST Options Strategy - Options Trading Strategies
You then score each option/factor combination, weight this score by the relative importance of the factor, and add these scores up to give an overall score for each option. The Black–Scholes option pricing model is the first and by far the best-known continuous-time mathematical model used in mathematical finance.
Here, it provides a sufficiently complex, yet tractable, testbed for exploring the basic methodology of option pricing. · It was decided that students, who even after appearing for Basic Mathematics in the class 10 board exams felt like they wanted to pursue maths further, could appear for the Standard Mathematics paper in the CBSE compartment exams in the same year.
If they cleared the paper, the option of choosing maths would be open to them.
Job-oriented Courses after 12th: Science/Commerce/Arts (2020)
· Career Options that Involve Math & Chemistry The understanding of how chemicals interact is a critical aspect of a number of careers that can.
· Final University examinations, Part A (Year 2): two written papers on pure mathematics core and two written papers on mathematics options Final University examinations, Part B (Year 3): four minute exams in mathematics and three three-hour papers in philosophy and either two further minute mathematics exams or one further three-hour.
This field overlaps various another fields like computer, management and law. This field has good job and business oriented courses. Movie, media, animation, cultural art, choreography, painting, photography and cooking are some of the best options that a student can choose after class 12th.
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Defining "Best" Once you have created a number of possible solutions to your design problem, you need to choose which one is best. Requirements. First, look at whether each possible solution met your design requirements. Consider solutions that did a much better job than others, and reject those that did not meet the requirements.
GCSE maths: choosing the ‘right’ tier. Posted by: Cath Jadhav, Posted on: She is very good at science does this mean that her options will be curtailed because the best she can hope for is a C in maths. Under the old system she may only get a C but she has competed with others and had the opportunity 'to throw her hat in the ring' with.


So you think you know how to teach mathematics?
Conrad Wolfram is renown as a “boat rocking” thinker and innovator. This presentation challenges current educational methods for teaching mathematics. In an entertaining speech Wolfram asks what is mathematics and then describes it as a four stage process consisting of:
- Posing the right question
- Putting the question into a mathematical framework or context
- Converting the answer back into a real world context.
- Open ended questions.
- Early Counting . Research cited at edweek.org says that teaching pre-schoolers to count (as opposed to just recite numbers) to 20 is an advantage later in life
Resources that you might find useful.
- A pinterest site shared by classroom teacher Laura Chandler with lots of resources used by mid-primary teachers. Not all of it pushes the boundaries of mathematics teaching but much of it would be useful to classroom based teachers at this level.
- Mathplayground - a good site for classroom teachers with lots of areas to explore - allows effective teaching not just drill and practice.
- NCES Kid’s Zone. A collection of web based tools for graphing and probability for primary students. The applications are accessed via buttons on the top of the screen.
- A+ click A wide ranging free site from grad 1 to 12 covering wide range of mathematics. Problem and logical thinking questions to suit the needs of most teachers.
- How many texts are sent every day in your town? The New York Times provided this bit of maths based on a perhaps surprising statistic - that the number of texts sent last month fell for the first time in history. However, the linked article provides all the information students would need to extrapolate to your home area. If we assume that the number of texts sent per person is constant across all areas (but we may choose not to accept this assumption - coming up with another figure might be useful in itself) and the population of our area is (???) then how many texts might be sent from our home? In fact, challenging the statistics provided might be even more fun. What is the average number of text sent each day by members of your class? Would this hold true across all grade levels and classes? How might we find out? Once done, what is our estimate?
- Not everyone enjoys mathematics. New research has found that just thinking about doing mathematics can cause headaches in some people.
- Still on the brain, Scientific American reports research that suggests that the brain can do mathematics unconsciously. (This might explain the phenomena of students who appear asleep in class but still manage to get some work done.)
If you enjoyed this post you might enjoy exploring my maths page which features other posts of a similar nature - some with video worth using with students, and some recreational maths developed to share a love of mathematics.
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In order to perform subnetting or to even grasp the concept of subnetting, knowing how it utilizes binary math is essential.
This how-to will teach you understand the binary math behind subnetting.
1.Binary .VS Dotted Decimal
To begin, lets understand the difference between binary and dotted decimal when it comes to subnetting. This way we can identify the difference when seeing
these formats on exams and in the real world.
Binary example: 11111111.11111111.11111111.00000000
Dotted Decimal example: 255.255.255.0
Binary to little surprise to most, consist of only 1s and 0s, with dotted decimal have a dot between each decimal value. Keep in mind that each decimal value can
be between 0 and 255.
Refer to Step 1 and noticed that each method, binary and dotted decimals have dots in them. These dots represent octets and every octet consists of 8 binary
bits. There are also 4 octets and with 8 bits in each that's a total of 32 total bits. Which makes up the 32 bit IPv4 address.
3.The Powers of Two
How we convert binary to dotted decimal and back is by using the powers of two. Every bit in an octet represents a power of two. Starting from the right side the
bit value represents 1 and moves left increasingly. See below for a visual representation of this.
7 6 5 4 3 2 1 0 <-- Powers of 2
128 64 32 16 8 4 2 1 <-- Values of the Powers of 2
The total value of the 8 bits is 255, we find that by adding 128+64+32+16+8+4+2+1.
Note that values have to line up with the power of 2 for example 2^7 equals 128 and the most left bit in an octet also is 128 because its the product of 2^7 no
other value exists in the far left bit in an octet.
4. A Little Conversion
Taking what we learned in step 3 we can easily use that as a method to convert binary values to dotted decimal. Working with the below binary value, lets walk
through the conversion.
What we have to do now is add up the different values to get the dotted decimal value. 2^7 + 2^5 + 2^4 + 2^2+ 2^1 = 182
An easy & quick way to get this value is to right down the values of the powers of two and add them. This takes a little memorizing but not much.
128 64 32 16 8 4 2 1 ( Simply line the binary bits up with the values
1 0 1 1 0 1 1 0
128+32+16+4+2 = 182
After understanding binary to dotted decimal conversions as covered in Step 4 it's time for dotted decimal to binary. To start we'll begin with a simple subtraction
process. Say we were given a value of 224 and we were tasks with finding the binary value of that number. The first step is to subtract the powers of 2 start from
left to right.
Value Given = 224
Powers of 2
128 64 32 16 8 4 2 1
Does 128 subtract from 224? Yes, now subtract 128 from 224 = 96
Does 64 subtract from 96? Yes, now subtract 64 from 96 = 32
Does 32 subtract from 32? Yes, subtract 32 and we have gotten to zero so we're done.
When subtracting the values we used a bit from the octet and it became a 1. The binary value of 244 is,
11100000 <-- this is because we had to subtract the three first values before we reached zero.


WEST, in partnership with GECDSB Literacy and Basic Skills Program, is offering Math refresher classes for our upcoming intake of the CNC/INDUSTRIAL MECHANIC MILLWRIGHT PROGRAM. The CNC/Industrial Mechanic Millwright Pre-Apprenticeship Program helps participants gain skills and employment within the trades sectors without any prior knowledge and experience.
If you are interested in applying for WEST’s CNC/INDUSTRIAL MECHANIC MILLWRIGHT PROGRAM starting August 2019 and need to upgrade your Math skills, then this program is right for you. Through an individualized approach the participants will receive support that will focus on their mathematical needs to help them upgrade and improve their Math skills.
Classes are also open to clients in the Windsor -Essex who are interested in upgrading their Math skills to support their career goals.


A triangle is a closed shape that has three angles, three sides, and three vertices. PQR is the abbreviation for a triangle with three vertices that say P, Q, and R. It is also known as a trigon or three-sided polygon. In this mini-lesson, we’ll go over everything there is to know about triangles, which are all around us. If you look at the shape of signboards and your favourite sandwiches, you will notice that they form the shape of a triangle. In this article, we are going to discuss the types of triangle, properties of triangles.
Types of Triangles
Triangles are classified into three types based on their side length: scalene, isosceles, and equilateral.
- If the lengths of all three sides differ, the triangle is a scalene triangle.
- A triangle that has two sides that are the same length is known as an isosceles triangle.
- A triangle that has three sides that are all the same length is known as an equilateral triangle.
What are the Properties of a Triangle and Types of Triangle?
Every geometry shape has fixed properties that can be used to identify the relationship between different sides and angles. In this section, we will look at some of the most important triangle properties, which are listed below.
- Triangles have 3 sides, 3 vertices, and 3 angles.
- The angle sum property of a triangle states that the sum of a triangle’s three interior angles is always 180°.
- Triangle inequality states that the sum of the lengths of the triangle’s two sides is greater than the length of the triangle’s third side.
- The square of the hypotenuse in a right triangle equals the sum of the squares of the other two sides, according to the Pythagorean theorem.
- The longest side is the one opposite the greater angle.
- The triangle’s exterior angle property states that the triangle’s exterior angle is always equal to the sum of its interior opposite angles.
Have You Heard of the Term Pascals Triangle?
Pascals triangle, also known as Pascal’s triangle, is a triangular arrangement of binomial coefficients. It bears the name of the French mathematician named Blaise Pascal. The numbers in Pascal’s triangle are arranged so that each number is the sum of two numbers just above it. The triangle of Pascal is widely used in probability theory, combinatorics, and algebra.
In general, we can use Pascal’s triangle to find the coefficients of binomial expansion, the probability of heads and tails in a coin toss, the probability of certain combinations of things, and so on.
Pascal’s Triangle in Binomial Expression
Pascal’s triangle can also be used to calculate the coefficients of terms in a binomial expansion. Pascals triangle is a useful tool for quickly determining whether or not the binomial expansion of a given polynomial is correct.
Triangles in Real Life
Triangles are known to have several key advantages that make them ideal for both architects as well as curious students: they are extremely common, structurally sound, and simple to apply and use in daily life. A triangle’s strength stems from its shape, which distributes forces evenly between its three sides. Let’s go through them:
- Roofs -The roofs of the houses are not all triangular in shape. In any case, if you live in a snowy area, you will notice that the majority of the roofs on houses are triangular in shape. The obtuse triangle is best represented by these roofs. The reason for this is that one of the angles is greater than 90 degrees. The main goal of developing these types of roofs is to prevent water or snow from remaining on the roofs for an extended period of time.
- Pizzas and Sandwiches – The majority of students begin their days with sandwiches or pizza. These sandwiches and pizzas have triangular shapes as well. When you show your students this practical example of a triangular shape, they will never forget it. When the mothers of your students serve these sandwiches for breakfast, they will recall the triangular shape concept. These sandwiches come in a variety of shapes.
To know more about Types of Triangle in a fun and easy manner, you can visit the Cuemath website.


Quantitative finance is an exciting and rapidly growing field that combines finance, mathematics, statistics, and computer science.
The goal of quantitative finance is to use mathematical models and statistical analysis to identify investment opportunities, manage risk, and make informed financial decisions.
Quantitative finance has become increasingly important in recent years due to the rapid growth of financial markets and the increasing complexity of financial products.
Mathematical models and statistical analysis have become crucial tools in understanding the behavior of financial markets and identifying trends and patterns that can inform investment strategies.
Individuals typically need a strong foundation in mathematics, statistics, and computer programming to work in quantitative finance.
They must be able to use advanced mathematical and statistical techniques to analyze financial data and develop models that can help predict future market behavior.
Some key areas in which quantitative finance is used include portfolio management, risk management, asset pricing, and financial engineering.
Quantitative finance professionals may work for investment banks, hedge funds, asset management firms, or other financial institutions.
Overall, quantitative finance is an exciting and challenging field that offers many opportunities for individuals with strong analytical skills and a passion for finance and mathematics.
With the continued growth of financial markets and the increasing demand for sophisticated financial analysis, quantitative finance will likely remain an important and dynamic field in the coming years.
Overview of the Quantitative Finance Industry
Quantitative finance is an interdisciplinary field that applies advanced mathematical and statistical techniques to financial data to analyze financial markets and develop investment strategies.
This field has become increasingly important in recent years due to the growing complexity of financial markets and the need for sophisticated financial analysis to make informed investment decisions.
The quantitative finance industry includes many organizations, from large investment banks to hedge funds to asset management firms. These organizations typically employ quantitative analysts, or “quants,” who use mathematical models and statistical analysis to identify investment opportunities and manage risk.
Some of the key areas in which quantitative finance is used include:
- Portfolio management: Quantitative analysts develop models that can be used to manage investment portfolios, including asset allocation, risk management, and performance measurement.
- Risk management: Quantitative finance is used to identify and manage financial risk, including market risk, credit risk, and operational risk.
- Asset pricing: Quantitative finance is used to determine the fair value of financial assets, such as stocks, bonds, and derivatives.
- Financial engineering: Quantitative finance designs and develops financial products, such as structured products and derivatives.
The quantitative finance industry is highly competitive, and individuals in this field typically have advanced degrees in mathematics, statistics, computer science, or finance.
They must have strong analytical and quantitative skills and the ability to communicate complex financial concepts to non-technical stakeholders.
The demand for quantitative finance professionals is expected to remain strong in the coming years as financial markets grow in complexity and sophistication.
However, the industry is also subject to risks and uncertainties, such as changes in government regulations, fluctuations in financial markets, and the potential for technological disruptions.
Overall, the quantitative finance industry offers exciting and rewarding career opportunities for individuals with strong analytical skills and a passion for finance and mathematics.
Advantages of a Career in Quantitative Finance
There are several advantages to pursuing a career in quantitative finance. Here are some of the key benefits:
- High earning potential: Quantitative finance professionals are in high demand, and their specialized skills are valued by employers. As a result, individuals who work in this field typically earn high salaries and may be eligible for performance-based bonuses.
- Interesting and challenging work: Quantitative finance is a highly specialized field that requires advanced mathematical and statistical skills. Professionals in this field must constantly stay up-to-date on the latest developments in financial markets and use their analytical skills to develop sophisticated investment strategies and risk management techniques.
- Job security: The demand for quantitative finance professionals is expected to remain strong in the coming years as financial markets grow in complexity and sophistication. As a result, individuals in this field may enjoy relatively high levels of job security.
- Global opportunities: The skills and expertise of quantitative finance professionals are in demand around the world. This means that individuals in this field may have the opportunity to work for international organizations and travel extensively.
- Transferable skills: The analytical and quantitative skills required in quantitative finance are highly transferable. This means that individuals who work in this field can transition to other industries or roles if they choose to do so.
- Intellectual challenge: Quantitative finance is a field that requires a high degree of intellectual rigor and offers an ongoing intellectual challenge. This can be particularly appealing to individuals passionate about mathematics and statistics.
Overall, a career in quantitative finance can offer a range of benefits, including high earning potential, interesting and challenging work, job security, global opportunities, transferable skills, and intellectual challenge.
These advantages make quantitative finance a compelling career choice for individuals with a strong interest in finance and mathematics.
In conclusion, a career in quantitative finance can be highly rewarding, offering individuals a range of benefits including high earning potential, interesting and challenging work, job security, global opportunities, transferable skills, and intellectual challenge.
However, it is also important to acknowledge that this field has challenges, including high pressure and stress, continuous learning, limited job opportunities, ethical considerations, and potential technology disruption.
For those interested in pursuing a career in quantitative finance, gaining a strong foundation in mathematics, statistics, and finance is essential.
Fortunately, many courses and degree programs can help individuals develop the necessary skills and expertise to succeed in this field. Some popular quantitative finance courses and degree programs include the Master of Quantitative Finance.
Ultimately, individuals who are passionate about finance and mathematics and willing to work hard to develop their skills and expertise may find that a career in quantitative finance is an excellent fit for their interests and talents.
By pursuing a strong education in this field and staying up-to-date on the latest trends and developments, they can position themselves for success in a challenging and rewarding career.


Homework for kids: get it over with: i'll buy that new dvd i've wanted, to when i finish 20 math problems and you'll feel like homework is just a little. How to excuse yourself from unfinished homework for instance, with math work you can write random figures or. Simplfy an algebraic expression by recognizing like terms - powered by webmath. How does the homework answers section work post your homework for free and wait for reference answers from teachers it includes math, algebra, biology. The new ways of finding math homework help there has been a tremendous increase the number of students who are opting for outsourcing math homework help evolution of internet has proved to be a great success when it comes to education. Tutors don’t solve homework that has words like “quiz” or “exam spend less time thinking service to cheat on their math homework. A team of researchers led by uchicago psychologists sian beilock and susan levine found that children of math-anxious parents learned less math over the school year and were more likely to be math-anxious themselves—but only when these parents provided frequent help on the child’s math homework. Homework survey designed to find out do you think your kids are just like you were about homework ( no which ones do you not like to help with history math.
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Main / Shopping / Math rules book
Math rules book
Name: Math rules book
File size: 813mb
25 week enrichment challenge for gifted or regular students offers math enrichment activities to develop logic and reasoning skills while building self-confidence and understanding of mathematics. Reproducible activity sheets for each grade include six problems for each week. REVIEW OF BASIC MATHEMATICAL RULES. Rules for Signed Numbers. Addition Rules: positive + positive = (add) positive. Ex: 2 + 1 = 3 negative + negative. 19 Apr Most math books are comprised of mainly computation problems. However, the Math Rules book covers a wide range of math problems that.
Math rules! has 4 ratings and 0 reviews. 25 week enrichment Math rules!: 5th- 6th grade 25 week enrichment challenge *Now includes PDF of Book*. by. Designed to meet the wide range of math abilities and interests of students, especially focused toward 5th & 6th grade, in a gifted program or pull-out program. See more ideas about Teaching math, Teaching ideas and Apps for kids. An award-winning principal who wrote a book in support of the Common Core now.
All the most useful Rules of Algebra in one place: easy to understand, free, and These simple rules — applied with a pinch of imagination and a dash of useful for everything from figuring out your gas mileage to acing your next math test. Summary of Rules. The following rules concern operations with fractions. Click on the rule you wish to review. Rule 1: Zero in the Denominator of a Fraction. 27 Nov This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once. All essential Math Formula for all android users. Offline content. You don't need internet to read formulas. In this app, you will get + math formulas and. It's best to work through the chapters of this book in sequence, since the later the annoying rules you need to know to do well on the Math Subject Tests.
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Measurement, Evaluation, and Statistics
Teachers College, Columbia University
Hedyeh Ahmadi earned her PhD in Measurement, Evaluation, and Statistics from Columbia University in 2019. She completed her M.S. in Statistics at UC Irvine in 2016. Her research focuses on the development and testing of methods for analyzing repeated measure/longitudinal growth models in the context of Salivary Bioscience, Psychology, and Education. In addition to exploring new methods, Dr. Ahmadi will teach advanced statistical methods to researchers via tutorial papers and intensive training workshops. More broadly, Dr. Ahmadi is interested in the use of regression models – particularly in the areas of meta-analysis and with censored salivary data.


Controlled Markov Processes and Viscosity Solutions
Wendell H. Fleming H. Mete Soner
Yayınevinden satın almak için tıklayınız.
This book is intended as an introduction to optimal stochastic control for continuous time Markov processes and to the theory of viscosity solutions. Stochastic control problems are treated using the dynamic programming approach. The authors approach stochastic control problems by the method of dynamic programming. The fundamental equation of dynamic programming is a nonlinear evolution equation for the value function. For controlled Markov diffusion processes, this becomes a nonlinear partial differential equation of second order, called a Hamilton-Jacobi-Bellman (HJB) equation. Typically, the value function is not smooth enough to satisfy the HJB equation in a classical sense. Viscosity solutions provide framework in which to study HJB equations, and to prove continuous dependence of solutions on problem data. The theory is illustrated by applications from engineering, management science, and financial economics.
In this second edition, new material on applications to mathematical finance has been added. Concise introductions to risk-sensitive control theory, nonlinear H-infinity control and differential games are also included.
Review of the earlier edition:
“This book is highly recommended to anyone who wishes to learn the dinamic principle applied to optimal stochastic control for diffusion processes. Without any doubt, this is a fine book and most likely it is going to become a classic on the area… .”
SIAM Review, 1994
*Springer WEB Sitesi’nden alınmıştır.


Effects of Time-of-day and Tide on fish counts.
Fixed-effect coefficients for levels afternoon and high-tide, and their significance (in parenthesis), and standard deviation (SD) of spatial and residual components of variability. The number of replicates (i.e., number of reefs censused) for each data set is indicated in the “Transects” column. Significance is indicated as: ns = not significant (p>0.05), * = significant (p<0.05), ** = highly significant (p<0.01). Spatial variation was highly significant in all cases.


9 hours ago Equity Multiple = Total Realized Profit + Equity Invested / Equity Invested Calculating equity multiple: a simplified example For the purposes of explaining how equity multiple works, let's start with a simplified example. Let's pretend that you intend to purchase a property for $200,000.
9 hours ago Here is the equity multiple formula: For example, if the total equity invested into a project was $1,000,000 and all cash distributions received from the project totaled $2,500,000, then the equity multiple would be $2,500,000 / $1,000,000, or 2.50x. …
1 hours ago In this case, the equity multiple would be 2.5x, which you get with the following equation: $2,500,000 / $1,000,000 = 2.5 Pretty straightforward, right? Well, unfortunately, not every CRE investment is going to be that simple, of course.
3 hours ago Equity Multiple is a Simple Formula Also known as the realization multiple, the equity multiple is simply the ratio of investment returns to paid-in capital. It is calculated by the following formula. Equity Multiple = Cumulative Distributed Returns / Paid in Capital
4 hours ago The formula for equity multiple is: (net cash flow to equity/total equity invested) + 1 Note that the total equity invested should be represented as a positive value. The reason for the +1 in the equation is due to the numerator being net, not gross, cash flow.
7 hours ago What is Equity Multiple in Real Estate - Adventures in CRE Equity Multiple A return metric which shows how much an investor’s capital has grown over time. The equity multiple ( EMx ) is calculated by dividing the sum of all capital inflows (capital distributions) by the sum of all capital outflows (capital contributions).
7 hours ago Using the formula of equity multiplier, we get – Equity multiplier = Total Assets / Total Shareholders’ Equity = $180,000 / $540,000 = 1/3 = 33.33%. Depending on the industry standard, we can figure out whether this ratio is higher or lower.
Just Now Equity Multiple=Total Cash Distribution/Total Equity Invested Consider the following example: If an investor buys a commercial property for a price of $4million and received a net cash flow of $300,000 annually and then decides to sell the property for $4million 5 years later. They’re equity multiple will equal 1.37.
5 hours ago Equity Multiple = ($8,588 + $10,000) / $10,000 = 1.86x Simply put, this equals “your money back, plus 86%.” Limits of Equity Multiple While the equity multiple provides a nice snapshot of an investment’s overall profitability, it does not discount to present value.
4 hours ago If you receive a total of $2000 back, after putting in $1000, then your equity multiple is 2. If a commercial real estate investor puts $1 million into a property and eventually gets back $2 million, the multiple is 2x. Let’s consider an example deal with a 2x equity multiple. You Received Back Twice What You Put In.
7 hours ago The Equity Multiple Real Estate Platform. Equity Multiple Real Estate is an internet platform that grants accredited investors the ability to invest in commercial real estate opportunities that the company researches and vets. For this reason, …
5 hours ago The equity multiple (EMx) is calculated by dividing the sum of all capital inflows (capital distributions) by the sum of all capital outflows (capital contributions).
On the current trend, with cyclically adjusted earnings per share of $174.50, the price-earnings multiple of the S&P 500 is 26.3 times, according to Deutsche Bank. This is the highest level since the late 1990s bubble when it peaked at 35 times.
What is Equity Multiple in Real Estate? Equity Multiple is the process by which the total return on equity investment of a real estate is measured. So if this multiple on a particular investment is 2 times in 5 years, then it means that the equity that the person has invested will double in size in 5 years.


I would like to take this time to thank everyone who participated in our trivia contest. Remember you don't have to get all the answers correct to receive the 2 free cases of Binnewater. We will start delivering cases to all those who submitted answers. They will come with your regular deliveries.
The answers are now available. Click on the "Answers" icon and you will be directed to the answers/explanations. As usual I found that in some cases more than one answer can be correct. You will see those indicated with the answers.
It turns out that the most difficult question was #4 about the mathematical symbols (52% correct) closely followed by #8 the fictitious character (57% correct). The easiest questions were #'s 6, 7 and 10. Everyone got those correct. Numbers 1 and 9 were the next easiest. 91% of the respondents got 1 and 9 correct. Number 3 was answered correctly by 87%. Number 5 was mastered by 83% while number 2 was only answered correctly by 65%.
Only one answer sheet was 100% with 10 correct answers. I also had a few with 9.5 correct (they only had ½ of the fictious characters parents). The most common answer sheet was 8.5 correct.
I hope you all enjoyed this year's trivia. I'm looking forward to next year's version already.


2023-03-25 02:43 PM - edited 2023-03-26 09:06 AM
In some scenic spots in Hangzhou, China, chains are used as railings, and the top of pagodas is fixed with iron chains. Like the picture. This kind of iron chain is written in GDL language. The hot spot at one end can be dragged, and the sag arc in the middle can also be controlled. Another key parameter is that each iron ring rotates by 90 °
2023-03-25 05:46 PM
Interesting - i tried to code somethng like that, but unfortunately, i was not able to do the maths on that. How can we get this?
2023-03-26 07:04 AM
The math for the curve should be pretty straight forward.
I believe it is called a catenary curve.
The link in the chain is another matter, and one I probably wouldn't attempt.
The link itself would be quite easy and the rotating 90° for each alternate link is also quite easy.
In a straight line it would be no problem.
But for each link in the curve, you will have to calculate the position in the curve and how much it deviates along the length axis for that particular link.
That will be the tricky part, and I am sure it can be done mathematically, but it is a bit beyond me (a bit of Googling or chatGPT maybe?)
The coding may or may not end up quite concise and not too large, but the polygon count of the final object cold be a great hindrance to your model.
I would consider modelling as a TUBE (either square profile or thin rectangle rather than round) and applying a chain surface material (might not map correctly on a round profile).
2023-03-26 07:24 AM - edited 2023-03-27 07:03 AM
i did somethings like this: https://bimcomponents.com/GSM/Details/25256
You discribed my "mathematical problems" on that very well. You have the curve, but You must get the same distances for the Chain-link-parts ON THIS CURVE. I could not solve that by myself.
2023-03-26 07:47 AM
The current version is an arc curve, not a gravity parabola😥. The calculation of the distribution of each link on the circular arc curve is relatively easy.
I will send the gsm file later.
2023-03-26 08:09 AM
2023-03-26 08:13 AM
Wow.Great ! This is the real gravity curve
2023-03-26 09:00 AM - edited 2023-03-26 09:04 AM
Its a very simple solution and nobody will see the difference to "a real catenary curve" as long, as its sufficiantly tightened. Well done. Very well done!
2023-03-28 02:50 AM
It seems that ChatGPT doesn't understand GDL yet, so GDLer hasn't been replaced so quickly 🤔
2023-03-28 02:59 AM
ChatGPT can only learn from resources it can find on the web, and we struggle with that when it comes to understanding GDL. 😂
It can't help you with the GDL side of things, but it might be able to give you a formulae to calculate the angle of each link in the curve.