Question

Choose the value of each expression.

Choices are 6, -6, 16/3 or 5 1/3, and -16/3 or -5 1/3
(-8) x 2/3
(-8) x (-2/3)
-18/3
18/−3
(−18)/(−3)

Answer 1

Solve each multiplication using the knowledge of multiplying fractions.

Part-A (-8) x 2/3

• (-8) x 2/3
• => -8 x 2/3
• => -16/3

Part-B (-8) x (-2/3)

• (-8) x (-2/3)
• => (8) x (2/3)
• => 16/3

Part-C (-18/3)

• (-18/3)
• => -(3² x 2)/3¹
• => -(3 x 2)
• => -(6) = -6

Part-D (18/-3)

• (18/-3) = 18/-3 x -1/-1 = -18/3
• => -(3² x 2)/3¹
• => -(3 x 2)
• => -(6) = -6

Part-E (-18)/(-3)

• => (-18)/(-3) x -1/-1
• => 18/3
• => 6

Hoped this helped!

Answer 2

Explanation:

1.

`( - 8) * (2)/(3)`

Put -8 over 1, then multiply.

`( - 8)/(1) * (2)/(3) = ( - 16)/(3)`

Simplify:

`(- (16)/(3)) =( - (3)/(3)) +( - (3)/(3)) + (- (3)/(3)) +( - (3)/(3)) +( - (1)/(3)) = ( - 5 (1)/(3) )`

-5 1/3 is the correct choice.

2.

`( - 8) * ( - (2)/(3) )`

Put -8 over 1, then multiply.

`( - 8)/( - 1) * ( - 2)/( - 3) = ( - 16)/( - 3) = (16)/(3)`

Simplify:

`(16)/(3) = (3)/(3) + (3)/(3) + (3)/(3) + (3)/(3) + (3)/(3) + (1)/(3) = 5 (1)/(3)`

5 1/3 is the correct choice.

3.

`- (18)/(3)`

Turn into a whole number.

`( - (18)/(3)) = (- (3)/(3)) + (- (3)/(3)) + (- (3)/(3)) + (- (3)/(3)) + (- (3)/(3)) + ( - (3)/(3) ) = - 6`

-6 is the correct choice.

4.

`- (18)/(3)`

#4 has the same solution as #3, -6. Each has one negative numerator or denominator, making the same fractions negative.

5.

`( ( - 18)/( - 3) ) = (18)/(3)`

Turn 18/3 into a whole number.

`(18)/(3) = (3)/(3) + (3)/(3) + (3)/(3) + (3)/(3) + (3)/(3) + (3)/(3) = 6`

6 is the correct choice.