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

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

1 Answer

3 votes

Final answer:

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 ÷

User Jeff Nyak
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