What are the place values in a base b place-value system?

And what digits are needed?





(Oh, the joys of majoring in elementary education!)





Thanks!|||The place values are the powers of b:

b^0 (ones place)

b^1 (b's place)

b^2

b^3

etc



Think about base 10

1's, 10's, 100's (10^2), 1000's(10^3), ...



Now you will need digits up to 1 less digit than b.

{0,1,2,...b-1} since 10 always represents the base.



Ex: base 7

0,1,2,3,4,5,6,10,11,12,13,14,15,16,20,.鈥?br>
16 means one base and 6 units = 7+6=13

then 20 means 2 bases= 14



Good luck with the teaching!

Its a wonderful job.