MULTIPLYING AND DIVIDING NEGATIVE NUMBERS

Complete each sentence with either positive or negative.

Problem 1 :

The product of two integers with different signs is _____.

Solution:

The product of two integers with different signs is always a negative number.

Problem 2 :

The product of two integers with the same signs is _____.

Solution:  

The product of two integers with the same signs is always a positive integer.

Problem 3 :

The quotient of two integers with different signs is _____.

Solution:

The quotient of two integers with different signs is always a negative integer.

Problem 4 :

The quotient of two integers with the same signs is _____.

Solution:

The quotient of two integers with the same signs is always a positive integer.

Determine whether each product or quotient is positive or negative. Then evaluate the expression.

Problem 5 :

4 ⋅ 8

Solution:

The product of two integers with the same signs is always a positive integer.

= 4 ⋅ 8

= 32

Problem 6 :

-3 ⋅ 5

Solution:

The product of two integers with different signs is always a negative number.

= -3 ⋅ 5

= -15

Problem 7 :

9(-2)

Solution:

The product of two integers with different signs is always a negative number.

= 9 ⋅ (-2)

= -18

Problem 8 :

-6(-7)

Solution:

The product of two integers with the same signs is always a positive integer.

= -6(-7)

= 42

Problem 9 :

12 ÷ (-4)

Solution:

The quotient of two integers with different signs is negative.

= 12/(-4)

= -3

Problem 10 :

-35 ÷ (-7)

Solution:

The quotient of two integers with the same signs is always a positive integer.

= -35/-7

= 5

Problem 11 :

21/3

Solution:

The quotient of two integers with the same signs is always a positive integer.

= 21/3

= 7

Problem 12 :

-64/8

Solution:

The quotient of two integers with different signs is negative.

= -64/8

= -8