Question

Find the square roots of the following numbers to the fourth decimal place by the division method. Then, write the approximate value of each square root up to the third, second and first decimal places.

(4) 1000

Answer 1

The square root of 1000 can be obtained by using the division method as follows:

$\Rightarrow \sqrt{1000}=31.6227$
∴ The square root of 1000 is 31.6227
The approximate value of 31.6227 up to the third decimal place can be written by rounding the value of the last digit as 31.623
The approximate value of 31.6227 up to the second decimal place can be written by rounding the value of the last digit as 31.62
The approximate value of 31.6227 up to the first decimal place can be written by rounding the value of the last digit as 31.6

∴ The square root of 1000 is 31.6227
The approximate value up to the third decimal place is 31.623
The approximate value up to the second decimal place is 31.62
The approximate value up to the first decimal place is 31.6