To create numbers bigger than 9 the decimal system uses

3528 =
3 · 1000 + 5 · 100 +
2 · 10 + 8 · 1 This is because the 3 is in the thousands place, the 5 is in the hundreds place, the 2 is in the tens place and the 8 is in the ones place. Notice that as we move from right to left in the place-value table, the value of each place is ten times the value of the place to its right. |

If we continue this pattern to the

We have seen before that whole numbers can be converted to fraction notation by simply putting them over 1.

Decimal numbers with digits to the right of the decimal point can be converted to fraction notation by multiplying them by a UFOO. First identify the place-value of the right-most digit. If the place-value is tenths then multiply by 10/10, if it is hundredths then multiply by 100/100, etc. Then simplify the numerator. This turns the numerator into a whole number. Here are some examples:

Here are two examples:

3^{ 4}= 3 · 3 · 3 · 3 = 81

4^{ 3}= 4 · 4 · 4 = 64