Question

without actually performing the long division state whether the following rational number will have a terminating decimal expansion or non-terminating repeating decimal expansion of 41/
52

Answer 1

Here is your answer.

Step-by-step explanation:

41/52 state weather it is terminating or non-terminating decimal expansion

factorize the denominator by 2 or 5

52= 2 x 2 x 13 x 5^0

in this case 13 is coming in the way, to state that the no. is terminating we  need only 5 or 2 there is 13. Hence 41/52 is a non terminating, repeating decimal expansion.

With regards

Arpit ojha