Question

Ocabulary Choose the example of an inverse relationship. A. Multiplying by 4 is the inverse of multiplying by –4. B. Multiplying by 4 is the inverse of adding by 4. C. Dividing by 4 is the inverse of multiplying by 4. D. Dividing by 4 is the inverse of multiplying by –4.

Answer 1

C. Dividing by 4 is the inverse of multiplying by 4.

Explanation:

We have been given 4 options. We are asked to choose the option that represents inverse relationship.

We know that inverse of addition is subtraction and vice versa.

We also know that inverse of multiplication is division and inverse of division is multiplication.

Upon looking at our given choices, we can see that option C is the correct choice because we are multiplying and dividing by same number 4. Upon dividing and multiplying a quantity by 4, we will get the same quantity.

`(4\cdot a)/(4)=a`

Therefore, dividing by 4 is the inverse of multiplying by 4.