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Playing with bases


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6 replies to this topic

#1 BMAD

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Posted 27 May 2013 - 07:05 PM

Suppose n is an integer in base 10. Note that n2 ends with 0 if and only if n ends with 0.  Now consider integers represented in base b, where 5 <= b <= 9.  Determine for which base b (if any) the following statement is true:
 
For any integer n, n2 ends with 0 if and only if n ends with 0.

 


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#2 vistaptb

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Posted 27 May 2013 - 07:45 PM

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#3 phil1882

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Posted 27 May 2013 - 08:38 PM

i'm pretty sure that statement is true for any base.

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#4 ParaLogic

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Posted 28 May 2013 - 02:45 AM

i'm pretty sure that statement is true for any base.

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#5 phil1882

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Posted 28 May 2013 - 08:58 AM

okay i see. i was reading "only if" more literally rather than its actual inverse statement.


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#6 witzar

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Posted 28 May 2013 - 12:22 PM

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#7 kingofpain

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Posted 28 May 2013 - 07:27 PM

Spoiler for As a general rule


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