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Last digit of (27145)* (10^11-10^10)/10^13

Expert replies
by neilcao » Mon Feb 21, 2011 6:21 am
(27145)* (10^11-10^10)/10^13

what's the last digit of the result?

I assume the result is not a integer
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Source: — Problem Solving |

by Night reader » Mon Feb 21, 2011 6:32 am
neilcao wrote:(27145)* (10^11-10^10)/10^13

what's the last digit of the result?

I assume the result is not a integer
(27145)*(10^11-10^10)/10^13 = 27145*10^10(10-1)/10^13 = 27145*9*10^(10-13) = 27145* 9*10^(-3) = [5]*[9]/1000]=[5] OPS when dividing by 1000 just shift the last left digit from 5*9 to RHS and for the last digit in decimal number take 27145*9/1000 for the last digit of the whole part

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