The decimal expansion of the rational number 24×5343 will terminate after how many places of decimal.

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The decimal expansion of the rational number {43}{2^{4} 5^{3}}

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The decimal expansion of the rational number $\frac{43}{2 ^{4} \times 5 ^{3}}$ will terminate after how many places of decimal.

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The decimal expansion of the rational number

\frac{43}{2 ^{4} \times 5 ^{3}}

will terminate after how many places of decimal.

12 mins ago

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12 mins ago

\frac{43}{( 2 ^{3} \times 5 ^{3} ) \times 2} = \frac{43}{1 0 ^{3} \times 2} = \frac{0.043}{2} = 0.0125

4

places

∴

decimal expansion will terminate at

4

places of decimal

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Question Text	The decimal expansion of the rational number $\frac{43}{2 ^{4} \times 5 ^{3}}$ will terminate after how many places of decimal.
Answer Type	Text solution:1
Upvotes	150