1. Division
Opposite of multiplication

2. Since
4(−2) = −8
then
= −2 −8 4
and
= 4 −8 −2

3. Dividing Two Integers with Like Signs
Divide the absolute values of the integers.
The quotient is positive.

4. Example 1
Divide −32 by −4.
|−32| |−4 | =
32 4 = 8
−32 −4 = 8

5. Dividing Two Integers with Unlike Signs
Divide the absolute values of the integers.
The quotient is negative.

6. Example 2
Divide 45 by −9.
|45| |−9| =
45 9 = 5
45 −9 = −5

7. Example 3
Divide −36 by 12.
|−36| |12| =
36 12 = 3
−36 12 = −3

8. Two Symbols: 19 8
19 ÷ −8
and

9. Note: The “−” sign can be located anywhere. 19 −8 −19 8 19 8 −
Multiply and divide from left to right across a problem.

10. Parts of a Division Problem
Dividend 15
Divisor ÷ 3
Quotient 5

11. Example 4
Simplify −3(8) ÷ (−12).
−3(8) ÷ (−12) = −24 ÷ (−12)
= 2

12. Example 5
Simplify −30 ÷ (−2)(−3).
−30 ÷ (−2)(−3) = 15 ÷ (−3)
= −5

13. Example
Perform the indicated operations. Do any operations inside parentheses or the absolute value sign first.
|−8| ÷ (−4)
= −2

14. Example
Perform the indicated operations. Do any operations inside parentheses or the absolute value sign first.
−8 ÷ (−4)
= 2

15. Example
Perform the indicated operations. Do any operations inside parentheses or the absolute value sign first.
72 ÷ (−9) × 8
= −64

16. Example
Perform the indicated operations. Do any operations inside parentheses or the absolute value sign first.
72 ÷ [−9 × (−8)]
= 1

17. Example
Perform the indicated operations. Do any operations inside parentheses or the absolute value sign first.
12(−4) + (3 × 18) (5 × 9) − (3 × 13)
= 1