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Decimal expansion of rational no 43/2^4×5^3 …

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Decimal expansion of rational no 43/2^4×5^3 will terminate after hw many places of decimals

Posted by Monika Sharma 7 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Rishabh Anand 6 years, 6 months ago

43/2^4 5 ^3= 43 ×5/2^4 5 ^3 ×5
43 ×5/2^4 5 ^4
43 ×5/(2×5)^4
43 ×5/(10)^4
215/10000
0.0215

0Thank You

Varun Golusupudi 7 years, 8 months ago

the decimal expansion of the rational number
43/2^4.5^3

43/2^4.5^3 = 43*5/2^4.5^3*5

43/2^4.5^4=43*5/10^4

=215/10000
=0.0125
that is 4 decimal places

1Thank You

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