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Is 8/9 the multiplicative inverse of \(-1{\Large\frac{1}{8}}\)? 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.

We know that,  \(-1{\Large\frac{1}{8}}\) = -9/8

Now, 8/9 × (-9/8) = -1 ≠ 1

So, 8/9 is not the multiplicative inverse of \(-1{\Large\frac{1}{8}}\) since the product of 8/9 × (-9/8) is not equal to 1.

Thus, by using the multiplicative identity property, we conclude that 8/9 is not the multiplicative inverse of \(-1{\Large\frac{1}{8}}\).

☛ Check: NCERT Solutions for Class 8 Maths Chapter 1

Video Solution:

Is 8/9 the multiplicative inverse of \(-1{\Large\frac{1}{8}}\)? Why or why not?

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1 Question 8

Summary:

By using the multiplicative identity property, we conclude that 8/9 is not the multiplicative inverse of \(-1{\Large\frac{1}{8}}\)

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