Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions. 10234567 89 10 -2-3-4-5-6-7-8-9-10.

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Presentation transcript:

Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions

Absolute Value The distance a number is from zero on a number line. The answer is always positive. -7 = 7 5 =

Addition Property of Opposites When opposites are added, the sum is always zero. 8 + (-8) = = 0

Identity Property of Addition T he sum of zero and a number is always that number = = 15

Sum (+) addition Product (×) multiplication Difference(-) subtraction Quotient(÷) division

Rules for addition of integers Same sign: add the numbers and keep the sign = (-3) = -5 Different sign: subtract and keep the sign of the greater absolute value = (-3) = -1 Rules for subtraction of integers Two negative signs: make it a plus Use rules for addition

Same sign or not - look to the left of the number whether it's positive or negative (-72) (-12)

Addition: Examples -7 + (-3) = = = 2 + (-4) = = -9 + (-9) =

Rules for subtraction of integers Two negatives become a plus sign Use rules for addition = = (-4) = = = (-7) = = 12

Subtraction: Examples -7 - (-6) = = = 2 - (-4) = = -9 - (-9) =

Absolute Value: Examples / /4