Chapter 1.1, Problem 1E

To determine

To determine the operations which are inverse of each other −

  $+,$ $-,$ $\times$ and $÷$

Answer to Problem 1E

  $+$ and $-$ are inverses of each other and $\times$ and $÷$ are inverse of each other.

Explanation of Solution

Given: Operations: $+,$ $-,$ $\times$ and $÷$

Formula Used:

An inverse operation is an operation that undoes what was done by the previous operation. 

The inverse of addition is subtraction and vice versa. The inverse of multiplication is division and vice versa.

Calculation:

Given: Operations: $+,$ $-,$ $\times$ and $÷$

From the definition of Inverse function,

  $+$ and $-$ are inverse of each other.

  $\times$ and $÷$ are inverse of each other.

Conclusion:

Hence, $+$ and $-$ are inverses of each other and $\times$ and $÷$ are inverse of each other.