Question

Without actual long division, check whether the rational number7/
75
will have a terminating decimal

expansion or a non-terminating repeating decimal expansion .​

Answer 1

Step-by-step explanation:

Denominator of this rational number = 75 = 3×5²

For a rational number to be terminating, its denominator must only be a product of 2 and 5.

Therefore, this rational number has a non-terminating repeating decimal expansion.