1. Do Now
Evaluate each expression.
1. 17 · · · 86
4. 20 · ÷ ÷ 4
344 85
272
17,000 55 28

2. Learn to multiply and divide integers.

3. Many times in mathematics, if you find a pattern you can make a rule.
Complete the tables below;

4. Now use the patterns to make some rules;
The product of a positive integer and a positive integer is ___________
The product of a negative integer and a negative integer is __________
The product of a positive integer and a negative integer is _____________
POSITIVE
POSITIVE
NEGATIVE

5. Now try to find a pattern with division. Complete the tables below;

6. Now use the patterns to make some rules;
The quotient of a positive integer and a positive integer is _________
The quotient of a negative integer and a negative integer is _________
The quotient of a positive integer and a negative integer is ___________
POSITIVE
POSITIVE
NEGATIVE

7. Example A: Find the product.
–5 · (–3)
Both signs same
Product is positive 15
3 · -7
One positive and one negative
Product is negative.
-21

8. Example B: Find the quotient.
36 ÷ (–4)
One positive and one negative
Quotient is negative –9
–20 ÷ 2
One positive and one negative
Quotient is negative
-10
Both signs same
Quotient is positive
–44 ÷ –11 4

9. Zero divided by any number is zero, but you cannot find an answer for division by zero. For example –6 ÷ 0 ≠ 0, because 0 · 0 ≠ –6. We say that division by zero is undefined.

10. Example C: Find the quotient.
0 ÷ 12
12 ÷ 0
undefined

11. Evaluate the expressions.
1) (-31) ) (-12)
3) 5 – ) -8 ● -9
5) -7 ● ) 54 ÷ (-9)

12. Lesson Quiz:
Find each product or quotient.
1. –8 · 2
2. –3 · 5 · (–2)
3. –75 ÷ 5
4. –110 ÷ (–2)
–16 30
–15 55

13. Lesson Quiz:
5. The temperature at Bar Harbor, Maine, was
–3°F. It then dropped during the night to
be 4 times as cold. What was the temperature
then?
–12°F

14. 6. Identify the product.
–4 · 6 · (–4)
A. 96
B. 2
C. –2
D. –96

15. 7. Identify the quotient.
–66 ÷ 6
A. 10
B. 11
C. –10
D. –11

16. 8. Identify the quotient.
–122 ÷ (–2)
A. –62
B. –61
C. 61
D. 62