Question

The place value of a digit at the hundredths place is `1/10` times the same digit at the tenths place.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Let 0.11 be a decimal number having same digits at tenths and hundredths place.

Now, the place value of 1 at tenths place = `1/10`  ...(i)

The place value of 1 at hundredths place = `1/100`  ...(ii)

From equations (i) and (ii), we get

`1/100 = 1/10 xx 1/10`

∴ The place value of 1 at hundredths place is `1/10` times of 1 at tenths place.