Question

Find ofter how many places of decimal the decimal for of the number 27/23.54.32 will terminals

Answer 1

Here's the result..,

23/2^4 x 5^3 = (23x5)/2^4 x 5^4 making the powers of 2 and 5 in the denominator equal, so that we get 115/10^4 = 115/10000= 0.0115.

So, the decimal expansion gets terminated with number of decimal places as much as the power of 10.

Note: A rational number will give a terminating decimal only if the denominator is a product of various powers of 2 and 5.

Otherwise, we get a recurring decimal.

Thank you

Answer 2

Step-by-step explanation:

27/(8)(625)(9) multiply the numbers 8×625×9 = 45000

27/45000 . divide 45000÷27000

answer is 0.0006

the decimal comes after 4places