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#1 2007-11-16 09:13:56

tony123
Member
Registered: 2007-08-03
Posts: 228

divisible by 10 000.

Prove that if the difference of the integers a, b is divisible by 100, then

is divisible by 10 000.

Last edited by tony123 (2007-11-16 09:14:42)

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#2 2007-11-16 09:54:51

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: divisible by 10 000.

Well:

QED

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#3 2007-11-16 12:32:16

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: divisible by 10 000.

In general:

If the difference of the integers a, b is divisible by m, then

is divisible by m[sup]2[/sup].

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