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

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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?


The product of the rational number and its multiplicative inverse is \(1.\)


\(0.3\) 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 \(1.\)