has the rational number 441/2^2*5^7*7^2 a terminating or non terminating decimals representation
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Answer:
Terminating Decimal Expansion
Step-by-step explanation:
- 441 ÷ 2² × 5⁷ × 7²
= 7 × 7 × 3 × 3 / 2² × 5⁷ × 7 × 7
(7 × 7) will be cancelled from numerator and denominator
= 3 × 3 / 2² × 5⁷
= 9 / 2²×5⁷
Since the denominator is in the form of 2ⁿ × 5ⁿ , the rational number will have a terminating decimal expansion
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