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terminating decimals OG 12 Q#108

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terminating decimals OG 12 Q#108

by stormgal » Thu Jun 04, 2009 8:40 am
Please help with this one:

If t=1/(2^9(5^3)) is expressed as a terminating decimal, how many zeros will t have between the decimal point and the first non zero digit to the right of the decimal point?

a. 3
b. 4
c. 5
d. 6
e. 9
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by vinayakdl » Thu Jun 04, 2009 9:05 am
2^9x5^3 = (2x5)^3x2^6 = 10^3x64

1/(10^3x64) = 10^-3x1/64

Since we 3 zeros from first term and 1 from 2nd we get B

Vinayak
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