Question

The smallest rational number by which \[\frac{1}{3}\] should be multiplied so that its decimal expansion terminates after one place of decimal, is

Options

• \[\frac{3}{10}\]
• \[\frac{1}{10}\]

• 3

• \[\frac{3}{100}\]

Answer 1

For terminating the decimal expansion after one place of decimal, the highest power of m and n in `2^mxx5^n` should be 1.

Let m=n=1

We will get:

`1/3xx3/10=1/10`

`= 0.1`

Thus, it is evident that we multiplied it by `3/10`

Hence, the correct choice is (a).