Math, asked by samita1, 1 year ago

the \: decimal \: expansion \: of \: rational \: number \: \frac{53}{ {2}^{4}x {5}^{3} } will \: terminate \: after \: how \: many \: decimal \: places


rohanharolikar: scroll right
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Answers

Answered by rohanharolikar
2
53/2⁴×5³×x
= 53 / 2 × 2³ × 5³ × x
= 53 / 2 × 10³ × x
= 53 / 2 × 1000 × x
= 53/2000x
as 2000x </= 10⁴
therefore it will terminate after 4 digits

rohanharolikar: no
rohanharolikar: 10⁴ = 10000
samita1: ohk..
samita1: but how will it terminate after 4 digits
samita1: it Should terminate after 3 digit
samita1: digits
samita1: what do you say
rohanharolikar: 10⁴ so 4 digits
rohanharolikar: try 53÷2000 it comes to 0.0265
samita1: okay
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