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

Go back to  'Ex.1.1'

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 \(1.\)