# 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 \(1.\)