Chapter 1.1, Problem 1E

To determine

To identify which of the operations are inverses of each other.

Answer to Problem 1E

+ is the inverse of – and × is the inverse of ÷ .

Explanation of Solution

The best way to understand this is by picking an example.

Let say, $6=2\times 3$

Now, conversely, $2=6÷3$ or $3=6÷2$ .

From the above explanation it is clear that × is the inverse of ÷.

Similarly, $5=2+3$

Now, conversely, $2=5-3$ or $3=5-2$ .

From the above explanation it is clear that + is the inverse of – .

Conclusion:

Hence, the above explanation makes the concept justified.