The document summarizes rules for multiplying and dividing integers: - The product of integers with like signs is positive, while the product of integers with unlike signs is negative. - The product of integers with an even number of negative factors is positive, while the product of integers with an odd number of negative factors is negative. - The quotient of integers with like signs is positive, while the quotient of integers with unlike signs is negative.

2. Let’s Remember
 The product of two integers with like signs is
positive.
 The product of two integers with unlike signs is
negative.
 The product of integers with even number
of negative factors is positive.
 The product of integers with odd number of
negative factors is negative.

3. Multiplying Integers with
Like Signs
Multiplying Integers with
Unlike Signs
1. (3)(4) = 12
2. (-3)(-4) = 12
3. (-4)(-6) = 24
4. (4)(6) = 24
5. (-5)(-5) = 25
1. (-3)(4) = -12
2. (6)(-1) = -6
3. (3)(-6) = -18
4. (-2)(5) = -10
5. (-8)(2) = -16

4. Multiplying Integers with
Even Number of Negative
Factors
Multiplying Integers with Odd
Number of Negative Factors
1. (-4)(2)(-3) = 24
2. (-4)(3)(-2)(5) = 120
3. (-4)(-2)(2)(-3)(-1) = 48
4. (2)(-1)(4)(-5)(-3)(-2) = 240
5. (-1)(1)(-1)(-1)(-1)(1)(-1)(-1) = 1
1. (4)(2)(-3) = -24
2. (-4)(3)(2)(5) = -120
3. (-4)(-2)(2)(3)(-1) = -48
4. (-2)(-2)(-2) = -8
5. (-1)(-1)(-1)(-1)(-1) = -1

5. Let’s Remember
 The quotient of two integers with like signs
is positive.
 The quotient of two integers with unlike
signs is negative.

6. Dividing Integers with Like
Sign
Dividing Integers with Unlike
Sign
1. 8 ÷ 4 = 2
2. (-8) ÷ (-4) = 2
3. 12 ÷ 4 = 3
4.
−12
−4
= 3
5.
−5
−7
=
5
7
1. -8 ÷ 4 = -2
2. 8 ÷ (-4) = -2
3. 15 ÷ (-5) = -3
4.
30
−6
= -5
5.
−24
18
(6) = -
4
3
or -1
1
3

8. Let’s Apply
Simplify the following.
1. (2)(9) = 18
2. (-8)(2) = -16
3. (-3)(-9) = 27
4. (-1)(-3) = 3
5. (-9)(-1)(5) = 45
6. (-24) ÷ 6 = -4
7. (8) ÷ 1 = 8
8.
15
−3
= -5
9.
−6
−48
(6) =
1
8
10.
10
−10
= -1