Question

State whether the following rational numbers will have a terminating decimal expansion or
non-terminating repeating decimal expansion, without actually performing the long division.
13/625​

Answer 1

Given:

13/625

To find:

• 13/625 has terminating or non-terminating repeating decimal expansion.

Solution:

13/625 = 13/5⁴

It has terminating decimal expansion , as denominator of 13/625 can be expressed in the form of 5^n.