The sum of a number and its opposite is 0. a + (- a ) = 0 -4 + 4 = 0
8 + -8 = 0
7.
5 + 3 = 8 Up 5 , then up 3 more If you have $5 in your pocket and are given $3 more, how much do you have? -5 + (-3) = -8 Down 5 then down 3 more If you owe $5 and then borrow $3 more, how much do you have?
10.
EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. a. 5 + ( 8) – Start at 0 . Move 5 units to the right. Then move 8 units to the left.
11.
EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. a. 5 + ( 8) – Start at 0 . Move 5 units to the right. Then move 8 units to the left. Answer The final position is –3 . So, 5 + (–8) = –3 .
12.
EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. b. – 6 + 10 Start at 0 . Move 6 units to the right. Then move 10 units to the left.
13.
EXAMPLE 1 Adding Integers Using a Number Line Use a number line to find the sum. b. – 6 + 10 Start at 0 . Move 6 units to the right. Then move 10 units to the left. Answer The final position is 4 . So, –6 + 10 = 4 .
In 12-23 there are three problems that need to have either the Identity Property (adding 0) or the Inverse Property (adding opposites) listed with them.
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