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Without actual division, show that rational …

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Without actual division, show that rational number 17/625 is a terminating decimal. Express in decimal form.
  • 3 answers

Sakshi Jagtap 2 years, 11 months ago

ANSWER:- 17/625 = 17/5⁴.... So, 17/625 is terminating

Akash K 4 years, 6 months ago

How to express in decimal form without actual division

Yogita Ingle 4 years, 6 months ago

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.

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