Question

Rachel is dividing -30 by a negative integer. The quotient is also an integer. Which statement describes the quotient Rachel should get?

A. It will be positive and greater than 30.
B. It will be negative and greater than -30.
C. It will be positive and less than or equal 30.

Answer 1

C. It will be positive and less than or equal 30.

Explanation:

She is dividing -30 by a negative integer.

The greatest negative integer is -1.

(-30)/(-1) = 30

Then we can try -2.

(-30)/(-2) = 15

Try -3.

(-30)/(-3) = 10

As we try smaller negative numbers, the quotients become smaller. The largest quotient possible is 30.

Answer: C. It will be positive and less than or equal 30.

Answer 2

C. It will be positive and less than or equal 30