2005 - Pascal - CEMC - University of Waterloo
... Since P QRS is made up of three squares of side length 15 cm, then its area is 3(15 cm)2 or 3(225) cm2 = 675 cm2 . Answer: (B) 18. First, 20052 = 4020025, so the last two digits of 20052 are 25. We need to look at 20055 , but since we only need the final two digits, we don’t actually have to calcula ...
... Since P QRS is made up of three squares of side length 15 cm, then its area is 3(15 cm)2 or 3(225) cm2 = 675 cm2 . Answer: (B) 18. First, 20052 = 4020025, so the last two digits of 20052 are 25. We need to look at 20055 , but since we only need the final two digits, we don’t actually have to calcula ...
CHAP08 Multiplicative Functions
... There are functions F(n) in number theory that have the property that F(mn) = F(m)F(n) whenever m, n are coprime. Functions with this property are called multiplicative functions. Of course there are trivial examples such as the constant functions F(n) = 1 or G(n) = n. Less trivial examples are the ...
... There are functions F(n) in number theory that have the property that F(mn) = F(m)F(n) whenever m, n are coprime. Functions with this property are called multiplicative functions. Of course there are trivial examples such as the constant functions F(n) = 1 or G(n) = n. Less trivial examples are the ...
The generating function for the Catalan numbers
... generating function allows you to perform calculations with the terms in the sequence, and thus to give easier ways to prove certain identities. There is a lovely book by Wilf [4], just about generating functions, and how to manipulate them to get interesting results. One interesting feature is that ...
... generating function allows you to perform calculations with the terms in the sequence, and thus to give easier ways to prove certain identities. There is a lovely book by Wilf [4], just about generating functions, and how to manipulate them to get interesting results. One interesting feature is that ...
Grade 7 Chapter 3 Problem Solving Assessment
... 15. Quincy was simplifying the multiplication expression –13(5)(–4). For the first step, he used the Associative Property to put brackets around the 5 and the –4, to get –13[(5)(–4)]. He thought it would be easier to multiply the 5 by the –4 first, since he already knew that product. Can Quincy mul ...
... 15. Quincy was simplifying the multiplication expression –13(5)(–4). For the first step, he used the Associative Property to put brackets around the 5 and the –4, to get –13[(5)(–4)]. He thought it would be easier to multiply the 5 by the –4 first, since he already knew that product. Can Quincy mul ...
Review for Cumulative Test
... a. Describe the different ways that you can find the probability of getting exactly 6 heads. Then find the probability using each of your methods. b. Find the probability of getting at least 6 heads. Find the exact probability using one your methods from part a and an estimate from the normal curve. ...
... a. Describe the different ways that you can find the probability of getting exactly 6 heads. Then find the probability using each of your methods. b. Find the probability of getting at least 6 heads. Find the exact probability using one your methods from part a and an estimate from the normal curve. ...
3.1:Simplifying Algebraic Expressions
... By the distributive property, 7x + 5x = (7 + 5)x = 12x This is an example of combining like terms. An algebraic expression is simplified when all like terms have been combined. ...
... By the distributive property, 7x + 5x = (7 + 5)x = 12x This is an example of combining like terms. An algebraic expression is simplified when all like terms have been combined. ...
Decimals, Fractions, and Percents
... Converting Decimals to Percents • In order to convert a decimal to a percent, either multiply the decimal by 100 and write the percent sign (%), or move the decimal point two places to the right and write the percent sign (%). Example 1: Convert 0.20 to a percent 0.20x 100= 20.00= 20% or 0.20= 0. 2 ...
... Converting Decimals to Percents • In order to convert a decimal to a percent, either multiply the decimal by 100 and write the percent sign (%), or move the decimal point two places to the right and write the percent sign (%). Example 1: Convert 0.20 to a percent 0.20x 100= 20.00= 20% or 0.20= 0. 2 ...
Maths Homework Project Y7: Number – RED/BLUE PATHWAY
... 4) The next number left is 5 (because four has been crossed off), so we keep it and colour all the multiples of this number. 5) The final number left in the first row is number 7 (it’s prime so keep it), so colour all the multiples of 7. 6) You have finished. All of the "surviving" numbers which you ...
... 4) The next number left is 5 (because four has been crossed off), so we keep it and colour all the multiples of this number. 5) The final number left in the first row is number 7 (it’s prime so keep it), so colour all the multiples of 7. 6) You have finished. All of the "surviving" numbers which you ...
Presentation
... The values are greater whether moving right from 0 or +4. b. What if the number moves right from -6? Is the same observation true as for a? Explain. It doesn't matter where on the number line you start, if you are moving right the values are greater. On the negative side the closer the value is to z ...
... The values are greater whether moving right from 0 or +4. b. What if the number moves right from -6? Is the same observation true as for a? Explain. It doesn't matter where on the number line you start, if you are moving right the values are greater. On the negative side the closer the value is to z ...
2.5 Floating-Point Representation
... • This is called floating-point emulation, because floating point values aren’t stored as such, we just create programs that make it seem as if floatingpoint values are being used. • Most of today’s computers are equipped with specialized hardware that performs floating-point arithmetic with no spec ...
... • This is called floating-point emulation, because floating point values aren’t stored as such, we just create programs that make it seem as if floatingpoint values are being used. • Most of today’s computers are equipped with specialized hardware that performs floating-point arithmetic with no spec ...
Math 603
... decreases by 2 on each successive floor. If the building is 100-stories (floors) tall, then how many windows in total are on the building? 12. A checkerboard (or chess board) consists of 64 squares. A story states that when the King of Persia was first introduced to the game of chess, he was so impr ...
... decreases by 2 on each successive floor. If the building is 100-stories (floors) tall, then how many windows in total are on the building? 12. A checkerboard (or chess board) consists of 64 squares. A story states that when the King of Persia was first introduced to the game of chess, he was so impr ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.