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# Integers

### Vocabulary from Course 3 Chapter 2

Opposites Two numbers on the opposite side of zero and the same distance from zero (4 and -4)
Integers Whole numbers and their opposites
Positive Numbers numbers greater than zero
Negative Numbers numbers less than zero
Absolute Value the distance from zero; represented by / / (Example 1, page 63)
Additive Inverse The opposite of a number
The Inverse Property of Addition The sum of an integer and its additive inverse is 0
Adding Integers with the Same Sign Rule Add the absolute value of the two numbers Use the sign of the numbers
Adding Integers with Different Signs Rule Subtract the number with the smaller absolute value from the number with the larger absolute value. Take the sign of the number with the larger absolute value.Take the sign of the number with the larger absolute value
Commutative Property a + b = b + a
Associative Property (a + b) + c = a + (b + c)
Subtracting Integers subtraction of integers is the same as adding the opposite; a – b = a + (- b) (Example 2, page 73)
Product of Integers Rule The product of two numbers with the same signs is positive; the product of two numbers with different signs is negative (Example 1, page 78)
Multiplicative Inverse two numbers whose product equals 1
Reciprocal a number which when multiplied by its inverse equals 1
The Inverse Property of Multiplication The product of a number and its multiplicative inverse is 1, a/b x b/a = 1
Quotient of Integers Rule The quotient of two integers is positive if the two integers have the same sign; the quotient of two integers is negative if the two integers have different signs (Example 4, page 79)
Created by: mccarthyr