Question

Find the multiplicative inverse of ${10}^{-1}$.

• A. -10
• B. .01
• C. 10
• D. 0.1

Answer 1

The correct option is C

10

${10}^{-1}$
= $\frac{1}{{10}^1}$
= $\frac{1}{10}$

When a number is multiplied by its multiplicative inverse, the result is 1. To make the given number, which is $\frac{1}{10}$, equal to 1, we need to multiply it with 10, which is the reciprocal of $\frac{1}{10}$.

Therefore, 10, or ${10}^1$ is the multiplicative inverse of ${10}^{-1}$.