Question

Which of the operations +, −, ×, and ÷ are inverses of each other?

Choose all that apply.
+ and −
+ and ×
+ and ÷
− and ×
× and ÷
÷ and −

Answer 1

Addition and subtraction are inverses, as are multiplication and division; each operation can undo the effect of its counterpart.

Step-by-step explanation:

The operations that are inverses of each other are those that can reverse the effect of one another. In mathematics, addition (+) and subtraction (−) are inverses because performing one operation can undo the other. Similarly, multiplication (×) and division (÷) are also inverses because one operation can reverse the effect of the other.

For example, the inverse of adding 3 to a number is subtracting 3:

• 5 + 3 = 8
• 8 - 3 = 5

Similarly, the inverse of multiplying a number by 3 is dividing by 3:

• 2 × 3 = 6
• 6 ÷ 3 = 2

Therefore, the operations that are inverses of each other and apply to the asked question are:

• + and −
• × and ÷