Question

Without actual division show that rational number 17/625 is a terminating decimal

Answer 1

Rational number 17/625 is a terminating decimal

1) A rational number is terminating if and only if the denominator of the rational number is of the form 2ᵃ or 5ᵇ or 2ᵃ.5ᵇ

2) In the given fraction 17/625

• 17/625 can be written as 17/(5×5×5×5)
• 17/5⁴

As the denominator has 5⁴ so the term is terminating.

Answer 2

Answer:

17/625 is terminating decimal

Step-by-step explanation:

17/625 is terminating decimal because

625=5×5×5×5 or 5⁴

so it is terminating decimal