After how many decimal expansion of 47/2^3x5^2 terminate
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Answered by
203
SOLUTION:
47 /2³× 5²
= 47 ×5/2³× 5² ×5
[Multiply by 5¹ in numerator and denominator]
=47 ×5/2³× 5³
=47 ×5/(2×5)³
=47 ×5/(10)³
=235/1000
=0.235
Hence, the decimal expansion of the rational number 47 /2³× 5² will terminate after 3 places of decimal.
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47 /2³× 5²
= 47 ×5/2³× 5² ×5
[Multiply by 5¹ in numerator and denominator]
=47 ×5/2³× 5³
=47 ×5/(2×5)³
=47 ×5/(10)³
=235/1000
=0.235
Hence, the decimal expansion of the rational number 47 /2³× 5² will terminate after 3 places of decimal.
HOPE THIS WILL HELP YOU...
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