SOLUTION: The ones digit of the largest multiple of 7 thats less than 1000 is __?

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Question 1205539: The ones digit of the largest multiple of 7 thats less than 1000 is __?
Found 3 solutions by MathLover1, greenestamps, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
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1000%2F7 is 142+with a remainder of 6
7%2A142+=+994
so, the largest multiple of 7 that is less than 1000 is 994

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


To answer this question mentally, without having to perform the arithmetic to divide 1000 by 7, use the curious fact that 1001 = 7*11*13.

That of course means the largest multiple of 7 less than 1000 is 1001-7 = 994, whose ones digit is 4.

ANSWER: 4

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
The ones digit of the largest multiple of 7 that is less than 1000 is
~~~~~~~~~~~~~~~~~~~~~~~ 

The ones digit of the largest multiple of 7 that is less than 1000 

is the same as the ones digit of the largest multiple of 7 that is less than 1000 - 700 = 300,

and is the same as the ones digit of the largest multiple of 7 that is less than 300 - 280 = 20,

so it is the same as the ones digit in the number 14, i.e. it is 4.    ANSWER

Solved mentally.