1. 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

2. Absolute Value The distance a number is from zero on a number line. The answer is always positive. -7 = 7 5 = 5 10234567 89 10 -2-3-4-5-6-7-8-9-10

3. Addition Property of Opposites When opposites are added, the sum is always zero. 8 + (-8) = 0 -5 + 5 = 0

4. Identity Property of Addition T he sum of zero and a number is always that number. 12 + 0 = 12 0 + 15 = 15

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

6. Rules for addition of integers Same sign: add the numbers and keep the sign 2 + 3 = 5 -2 + (-3) = -5 Different sign: subtract and keep the sign of the greater absolute value -2 + 3 = 1 2 + (-3) = -1 Rules for subtraction of integers Two negative signs: make it a plus Use rules for addition

7. Same sign or not - look to the left of the number whether it's positive or negative. 34 -18 56 -2 + -356 + (-72) 15 + 36 -6 + 23-12 + (-12) 98 + 2

8. Addition: Examples -7 + (-3) = -8 + 5 = -11 + 0 = 2 + (-4) = 4 + 3 = -9 + (-9) = 1023456789 10 -2-3-4-5-6-7-8-9-10

9. Rules for subtraction of integers Two negatives become a plus sign Use rules for addition 5 - 8 = 8 - 5 = -3 -3 - (-4) = -3 + 4 = 4 - 3 = 1 5 - (-7) = 5 + 7 = 12

10. Subtraction: Examples -7 - (-6) = -8 - 8 = -11 - 5 = 2 - (-4) = 4 - 7 = -9 - (-9) = 1023456789 10 -2-3-4-5-6-7-8-9-10

11. Absolute Value: Examples 8 -12 -4 1/2-.778 435- 2 3/4