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

**☛ Related Questions:**

- Using appropriate properties find: (i) -2/3 × 3/5 + 5/2 - 3/5 × 1/6 (ii) 2/5 × (-3/7) -1/6 × 3/2 + 1/14 × 2/5.
- Write the additive inverse of each of the following (i) 2/8 (ii) -5/9 (iii) -6/-5 (iv) 2/-9 (v) 19/-6.
- Verify that -(-x) = x for. (i) x = 11/15 (ii) x = -13/7
- Find the multiplicative inverse of the following (i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5 (vi) -1.

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