Question

without actual division, show that the rational number is a terminating decimal. Express in decimal form :- 24/125​

Answer 1

Answer:

24 / 125 has a terminating decimal expansion

Step-by-step explanation:

24 / 125

here the denominator is 125 which is 5×5×5 i.e 5³

if a fraction has its denominator in the form 2ⁿ × 5ⁿ then the rational number has terminating decimal expansion.

in 24 / 125 the denominator is in the form 2⁰ × 5³

∴ 24 / 125 has a terminating decimal expansion

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