# 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 \(-1{\Large\frac{1}{8}}\).

**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 \(-1{\Large\frac{1}{8}}\)