1. 9-7 Dividing Integers Warm Up Problem of the Day Lesson Presentation
Course 1
Warm Up
Problem of the Day
Lesson Presentation

2. 9-7 Dividing Integers Warm Up Find each quotient. 1. 18 ÷ 2 2. 42 ÷ 7
Course 1
9-7
Dividing Integers
Warm Up
Find each quotient.
1. 18 ÷ ÷ 7
3. 56 ÷ ÷ 6
5. 3,600 ÷ ÷ 60 9 6 7 4
900 9

3. 9-7 Dividing Integers Problem of the Day
Course 1
9-7
Dividing Integers
Problem of the Day
Hank wanted to record the number of marbles he lost to his friend Marcus each day for 5 days. He forgot to record one day, but for the other days he wrote 8, 2, 3, and 4. The average number he lost was 4. What number did he forget to write? 3

4. Course 1
9-7
Dividing Integers
Learn to divide integers.

5. Course 1
9-7
Dividing Integers
Multiplication and division are inverse operations. To solve a division problem, think of the related multiplication.

6. Additional Example 1: Dividing Integers
Course 1
9-7
Dividing Integers
Additional Example 1: Dividing Integers
Find each quotient.
A. –30 ÷ 6
B. –42 ÷ (–7)
Think: What number times 6 equals –30?
–5 • 6 = –30, so –30 ÷ 6 = –5.
Think: What number times –7 equals –42?
6 • (–7) = –42, so –42 ÷ (–7) = 6.

7. 9-7 Dividing Integers Try This: Example 1 Find each quotient.
Course 1
9-7
Dividing Integers
Try This: Example 1
Find each quotient.
A. –15 ÷ 5
B. –36 ÷ (–6)
Think: What number times 5 equals –15?
–3 • 5 = –15, so –15 ÷ 5 = –3.
Think: What number times -6 equals –36?
6 • (–6) = –36, so –36 ÷ (–6) = 6.

8. 9-7 Dividing Integers Dividing Integers
Course 1
9-7
Dividing Integers
Because division is the inverse of multiplication, the rules for dividing integers are the same as the rules for multiplying integers.
Dividing Integers
If the signs are the same, the product is positive.
24 ÷ 3 = 8 –6 ÷ (–3) = 2
If the signs are different, the quotient is negative.
–20 ÷ 5 = – ÷ (–8) = –9
Zero divided by any integer equals 0. 14 __
–11 __
= = 0
You cannot divide any integer by 0.

9. Additional Example 2A: Evaluating Integer Expressions
Course 1
9-7
Dividing Integers
Additional Example 2A: Evaluating Integer Expressions
Evaluate for each value of d.
A. d = 16 d 4 __ d 4 __
Write the expression. 16 4 __
= 16 ÷ 4
Substitute 16 for d.
= 4
The signs are the same, so the answer is positive.

10. Additional Example 2B: Evaluating Integer Expressions
Course 1
9-7
Dividing Integers
Additional Example 2B: Evaluating Integer Expressions
Evaluate for each value of d.
B. d = –24 d 4 __ d 4 __
Write the expression.
-24 4
___
= –24 ÷ 4
Substitute –24 for d.
= –6
The signs are different, so the answer is negative.

11. Additional Example 2C: Evaluating Integer Expressions
Course 1
9-7
Dividing Integers
Additional Example 2C: Evaluating Integer Expressions
Evaluate for each value of d.
C. d = –12 d 4 __ d 4 __
Write the expression.
-12 4
___
= –12 ÷ 4
Substitute –12 for d.
= –3
The signs are different, so the answer is negative.

12. 9-7 Dividing Integers Try This: Example 2A
Course 1
9-7
Dividing Integers
Try This: Example 2A
Evaluate for each value of c.
B. c = –15 c 3 __ c 3 __
Write the expression.
-15 3
___
= –15 ÷ 3
Substitute –15 for c.
= –5
The signs are different, so the answer is negative.

13. 9-7 Dividing Integers Try This: Example 2B
Course 1
9-7
Dividing Integers
Try This: Example 2B
Evaluate for each value of c.
B. c = 12 c 3 __ c 3 __
Write the expression. 12 3
___
= 12 ÷ 3
Substitute 12 for c.
= 4
The signs are the same, so the answer is positive.

14. 9-7 Dividing Integers Try This: Example 2C
Course 1
9-7
Dividing Integers
Try This: Example 2C
Evaluate for each value of c.
C. c = 27 c 3 __ c 3 __
Write the expression. 27 3 __
= 27 ÷ 3
Substitute 27 for c.
= 9
The signs are the same, so the answer is positive.

15. Insert Lesson Title Here
Course 1
9-7
Dividing Integers
Insert Lesson Title Here
Lesson Quiz
Find each quotient.
1. 18 ÷ (–3) 2. –36 ÷ (–6)
3. –64 ÷ (–8) 4. –45 ÷ 3
Evaluate for each value of x.
5. x = – x = 20
7. Cameron’s mom has $3,200 in her bank account. If she uses the money to make monthly rent payments of $375, how many whole payments can she make? –6 6 8
–15 x 4 __ –3 5 8