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Posted by **katie** on Sunday, May 15, 2011 at 7:34pm.

14

5

- explorations in math -
**MathMate**, Sunday, May 15, 2011 at 7:49pmThe "1" stands for 5 in base 5.

14_{5}

=(**1***5)+**4**

=?

- explorations in math -
**katie**, Sunday, May 15, 2011 at 9:02pm4.5 + 1.1

20 + 1

21

- explorations in math -
**MathMate**, Sunday, May 15, 2011 at 9:48pmYour working is for

41_{5}

=4.5 + 1.1

=20 + 1

=21

The units digit is multiplied by 1, and the second digit from the right is multiplied by the base, 5 in this case.

If the number has more than 2 digits, the next digits (to the left) are multiplied by the subsequent powers of the base.

Example:

321_{7}

=3*7^2 + 2*7^1 + 1*7^0

=3*49 + 2*7 + 1*1

=147 + 14 + 1

=162

So

41_{5}

=4*5^1 + 1*5^0

=4*5 + 1*1

=21

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