Question

Find the multiplicative inverse of ${10}^{-5}$.

• A. - 50
• B. 0.00001
• C. - 100000
• D. 100000

Answer 1

The correct option is D

100000

${10}^{-5}$
= $\frac{1}{{10}^5}$
= $\frac{1}{100000}$

When a number is multiplied with its multiplicative inverse, the result is 1. To make the given number, which is $\frac{1}{100000}$, equal to 1, we need to multiply it with 100000, which is the reciprocal of $\frac{1}{100000}$.

Therefore, 100000, or ${10}^5$ is the multiplicative inverse of ${10}^{-5}$.