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 \(​​3{\Large\frac{1}{3}}\)

☛ Check: NCERT Solutions for Class 8 Maths Chapter 1

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 \(​​3{\Large\frac{1}{3}}\)

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