# Is 0.3 the multiplicative inverse of \(3{\Large\frac{1}{3}}\)? Why or why not?

**Solution:**

The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.

0.3 can be written as 3/10.

We know that,

\(3{\Large\frac{1}{3}}\) can be written as 10/3.

3/10 × 10/3 = 1

Yes, 0.3 is the multiplicative inverse of \(3{\Large\frac{1}{3}}\) since 3/10 × 10/3 is equal to 1.

Thus, by using the multiplicative identity property, we conclude that 0.3 is the multiplicative inverse of \(3{\Large\frac{1}{3}}\)

**Video Solution:**

## Is 0.3 the multiplicative inverse of \(3{\Large\frac{1}{3}}\)? Why or why not

### NCERT Solutions Class 8 Maths - Chapter 1 Exercise 1.1 Question 9

**Summary:**

By using the multiplicative identity property, we conclude that 0.3 is the multiplicative inverse of \(3{\Large\frac{1}{3}}\)