Question

Question 52.
The place value of a digit at the hundredths place is $\frac{1}{10}$ times the same digit at the tenths place.

Answer 1

True
Let 0.11 be a decimal number having same digits at tenths and hundredths place.
Now, the place value of 1 at tenths place =$\frac{1}{10}$
The place value of 1 at hundredths place =$\frac{1}{100}$
$\frac{1}{100}=\frac{1}{10}\times \frac{1}{10}$
$\therefore$ The place value of 1 at hundredths place is $\frac{1}{10}$ times of 1 at tenths place.

So, the given statement is true, as the place value of any digit at the hundredths place is $\frac{1}{10}$ times the same digit at the tenths place.