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 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${}^{-5}$.