Question

Is $0.3$ the multiplicative inverse of $3\frac{1}{3}$. Why or why not?

• A. True
• B. False

Answer 1

The correct option is A True

Multiplicative inverse of number

The multiplicative inverse is the reciprocal of a number. If $N$ is a number, it's multiplicative inverse will be $\frac{1}{N}$. Their product will be $1$.

Here, the term $3\frac{1}{3}$ can be written as $\frac{10}{3}$, and the term $0.3$ can be written as $\frac{3}{10}$.

Their product is,

$\begin{array}{rcl}\frac{10}{3}\times \frac{3}{10}& =& 1\end{array}$

Therefore, $0.3$ is the multiplicative inverse of $3\frac{1}{3}$.