
Lecture 9 - CSE@IIT Delhi
... two people shaking hands with the same number of people? Everyone can shake hand with 0 to n-1 people, and there are n people, and so it does not seem that it must be the case, but think about it carefully: Case 1: if there is a person who does not shake hand with others, then any person can shake h ...
... two people shaking hands with the same number of people? Everyone can shake hand with 0 to n-1 people, and there are n people, and so it does not seem that it must be the case, but think about it carefully: Case 1: if there is a person who does not shake hand with others, then any person can shake h ...
Add, subtract, multiply and divide negative numbers
... Just as our English language contains pairs of opposite words, (hot-cold, updown, in-out), our Mathematical language uses + and – signs to signal opposites. So: + 23 is the opposite of – 23 – 5.9 is the opposite of + 5.9 Opposite numbers are an equal distance from 0. ...
... Just as our English language contains pairs of opposite words, (hot-cold, updown, in-out), our Mathematical language uses + and – signs to signal opposites. So: + 23 is the opposite of – 23 – 5.9 is the opposite of + 5.9 Opposite numbers are an equal distance from 0. ...
7.NS.2 final
... the procedures for multiplying rational numbers. For example, “You have a bank account that you forgot about and it currently has a balance of $0. The bank charges a service fee of $3 every month. What would the balance be after 5 months?” Hold a brief discussion about what the equation used to solv ...
... the procedures for multiplying rational numbers. For example, “You have a bank account that you forgot about and it currently has a balance of $0. The bank charges a service fee of $3 every month. What would the balance be after 5 months?” Hold a brief discussion about what the equation used to solv ...
Standard Notation - Arundel High School
... 3. When the leftmost digit to be dropped is 5 followed by a nonzero number, that digit and any digits that follow are dropped. The last digit in the rounded number increases by one. 8.7519 rounded to 2 significant digits is 8.8 4. If the digit to the right of the last significant digit is equal to 5 ...
... 3. When the leftmost digit to be dropped is 5 followed by a nonzero number, that digit and any digits that follow are dropped. The last digit in the rounded number increases by one. 8.7519 rounded to 2 significant digits is 8.8 4. If the digit to the right of the last significant digit is equal to 5 ...
5.NF.7.11.3.11
... division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplicatio ...
... division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplicatio ...
Rational Number Operations on the Number Line
... Clearly, addition and subtraction should be represented on the number line. But if teachers are only familiar with using the chip model for integer operations, then how do they make the transition to using the number line? This article will explore the connection between these two representations fo ...
... Clearly, addition and subtraction should be represented on the number line. But if teachers are only familiar with using the chip model for integer operations, then how do they make the transition to using the number line? This article will explore the connection between these two representations fo ...
Distributive Property
... The terms of the expression are separated by addition. There are 3 terms in this example and they are 5x 2 , x , 7 . The coefficient of a variable term is the real number factor. The first term has coefficient of 5. The second term has an unwritten coefficient of 1. The last term , -7, is called a ...
... The terms of the expression are separated by addition. There are 3 terms in this example and they are 5x 2 , x , 7 . The coefficient of a variable term is the real number factor. The first term has coefficient of 5. The second term has an unwritten coefficient of 1. The last term , -7, is called a ...
Chapter 2 - Cengage Learning
... A large number such as 49,100,000,000 has only three significant figures. The trailing zeros are not significant because there is no decimal point at the end. a. ...
... A large number such as 49,100,000,000 has only three significant figures. The trailing zeros are not significant because there is no decimal point at the end. a. ...
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.