Question

The multiplicative inverse of 0.02 is

Answer 1

Answer:

Multiplicative inverse of 0.02 is 50..how? 0.02^-1 = 1/0.02 = 50. It's the multiplicative inverse because 0.02*50 = 1, the multiplicative identity.

Answer 2

The multiplicative inverse of 0.02 is 50.

Given:

A number 0.02.

To Find:

The multiplicative inverse of 0.02.

Solution:

The multiplicative inverse of a number is the number that when multiplied by it gives the multiplicative identity, 1.

Hence for any number 'a', its multiplicative identity is 1/a, as:

a x 1/a = 1.

The multiplicative inverse of a fraction a/b is b/a.

We are given a decimal 0.02. We will first convert this number into terms of a fraction. This can be done by simply removing the decimal point and writing it with the denominator having a power of 10. The power is equal to the number of digits after the decimal point.

Hence. 0.02 = 2/100 = 1/50.

Hence, from the above rules, the multiplicative inverse of 1/50 = $\frac{1}{1/50}$ = 50.

∴ The multiplicative inverse of 0.02 is 50.

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