# Ex.1.1 Q9 Rational Numbers Solution - NCERT Maths Class 8

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## Question

Is $$0.3$$ the multiplicative inverse of \begin{align}3\frac{1}{3}\end{align}?

Why or why not?

## Text Solution

What is known?

Rational number.

What is unknown?

Multiplicative inverse or not?

Reasoning:

The product of the rational number and its multiplicative inverse is $$1.$$

Steps:

$$0.3$$ can be written as \begin{align} \frac{3}{10} \end{align}

Given rational number \begin{align}3\frac{1}{3}\end{align} can be written as \begin{align}\frac{{10}}{3}\end{align}

So, \begin{align}\frac{3}{{10}} \times \frac{{10}}{3} = 1\end{align}

The answer is $$8$$

Yes, $$0.3$$ is the multiplicative inverse of \begin{align}3\frac{1}{3}\end{align} because their product is $$1.$$

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