The document explains the rules for multiplying and dividing signed integers, highlighting that the product or quotient is positive for two positives or two negatives, and negative for one positive paired with one negative. It also provides examples to illustrate these rules along with practice problems for readers to solve. Additionally, it summarizes the outcomes of adding and subtracting integers with regards to their signs.

1. Multiplying and
Multiplying and
Dividing Signed
Dividing Signed
Integers
Integers

2.  When we multiply or divide two integers, the sign
rules are different than when we add or subtract signed
numbers.
 When we multiply or divide two positive integers, the
solution is positive.
7 • 6 = 42
2 • 9 = 18
20 • 1 = 20
Positive * Positive
Positive * Positive
12 ÷ 3 = 4
16 ÷ 8 = 2
8 ÷ 8 = 1

3.  When we multiply or divide two negative integers, the
solution is also positive.
(-7) • (-6) = 42
(-2) • (-9) = 18
(-20) • (-1) = 20
Negative * Negative
Negative * Negative
(-12) ÷ (-3) = 4
(-16) ÷ (-8) = 2
(-8) ÷ (-8) = 1

4.  When we multiply or divide one positive & one
negative integer, the solution is always negative,
regardless of which is larger or which is written first.
(-7) • 6 = - 42
2 • (-9) = -18
20 • (-1) = -20
Positive * Negative
Positive * Negative
12 ÷ (-3) = - 4
(-16) ÷ 8 = -2
(-8) ÷ 8 = -1

5. Summary
Summary
Adding Integers:
Positive + Positive = Positive
Negative + Negative = Negative
Positive + Negative = Sign of Larger #
Subtracting Integers:
Keep - Change - Change
Multiplying/Dividing Integers:
Positive + Positive = Positive
Negative + Negative = Positive
Positive + Negative = Negative

6. Multiply or divide.
1. (-10)•3 2. (-4)•(-3)
3. 7•(-2) 4. 5•(-2)
5. (-18)÷(-3) 6. (-20)÷2
Simplify each expression.
7. (3)(-5x) 8. (-2)(-3y)
9. (-1)(7x) 10. (10)(-5c)
You Try It!

7. Solutions
= -30
= 12
= -14
= 6
= -10
= -10
1. (-10)•3
2. (-4)•(-3)
3. 7•(-2)
4. 5•(-2)
5. (-18)÷(-3)
6. (-20)÷2

8. Solutions
= -15x
= -7x
= 6y
= -50c
7. (3)(-5x)
8. (-2)(-3y)
9. (-1)(7x)
10. (10)(-5c)