CHANGING BASE: FROM BASE TEN

(Take a number already in base 10 = decimal system, and change it into a number in a different base.)

This example takes a number in base ten and changes it into a number in base 5.
Base 10 has the digits 0 - 9, but Base 5 ONLY has the digits 0, 1, 2, 3 and 4. The beans will have to be regrouped into sets of 5 and traded (you cannot have more than 4 in any column because the highest digit is 4). Each place value, starting from the right of the number, has a value of an increasing power of 5 (rather than having an increasing power of 10, as in Base 10).

*Beans are used instead of Base Ten Blocks because we will be using a base other then base ten.

 

CHANGING BASE: TO BASE TEN

(Take a number in a different base and change it into a number in a base ten)

The second example takes a number already in base five and changes it back into a number in base ten.

 

*BACK TO WHOLE NUMBERS