Question

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

• A. 10000000
• B. 0.000000001
• C. 0.0000000001
• D. 10000000000

Answer 1

The correct option is D

10000000000

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

When a number is multiplied by 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 ${10}^{-5}$.