### Home > MC2 > Chapter 5 > Lesson 5.1.1 > Problem5-7

5-7.

Write the inverse operations, that is, operations that "undo" one another for each situation below.

Addition and subtraction are inverse operations.
For example, adding $4$ and then subtracting $4$ takes you back to your original number.
Multiplication and division are also inverse operations.
For example, multiplying a number by $4$ and then dividing by $4$ takes you back to your original number.

1. What is the inverse operation for "add $\frac { 3 } { 4 }$?"

$\text{Subtract}\ \frac{3}{4}.$

2. What is the inverse operation for "subtract $1 \frac { 2 } { 3 }$?"

If subtraction and addition are inverse operations, how much do you have to add?

3. What is the inverse operation for "divide by $8$?"

Multiply by $8$.

4. What is the inverse operation for "multiply by $12$?"

If multiplication and division are inverse operations, how much do you have to divide by?