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Mathematics 22 Online
OpenStudy (anonymous):

any idea guys ?? if M = 1234567891011121314...20122013 then how many digits are there of M^2

OpenStudy (anonymous):

@robtobey , @CGGURUMANJUNATH

OpenStudy (anonymous):

@TuringTest

OpenStudy (anonymous):

have you tried it on you're calculator?

OpenStudy (anonymous):

it doesnt work, it says error :)

OpenStudy (anonymous):

hmm what is the full number?

OpenStudy (anonymous):

oh i see the number hmm

OpenStudy (anonymous):

it is the first time i see this question, so i dont know how to evaluate it

OpenStudy (anonymous):

sorry can't help you there.

OpenStudy (anonymous):

\[1^{2}=1....1 digit\] \[12^{2}=144....3 digits\] \[123^{2}=15129...5 digits\] \[1234^{2}=1522756.....7 digits\] \[12345^{2}=152399025....9 digits\] Now getting some idea...

OpenStudy (anonymous):

oh, so i have to know how many digits of M, first ?

OpenStudy (anonymous):

if so then if M incluading n digits then there are (2n-1) digits are there in M^2. am i right ?

OpenStudy (anonymous):

ya...now try finding the no. of digits...

OpenStudy (anonymous):

ok, thank you. i got it :)

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