The Decimal Number System uses base 10. It includes the digits from 0 through 9. The weighted values for each position is as follows:

10⁴	10³	10²	10¹	10⁰	10^-1	10^-2	10^-3
10000	1000	100	10	1	.1	.01	.001

You have been using the decimal (base 10) numbering system for so long that you often take it for granted. When you see a number like "123", you don't think about the value 123. Instead, you generate a mental image of how many items this value represents. In reality, however, the number 123 represents:

1 * 10² + 2 * 10¹ + 3 * 10⁰ =

1 * 100 + 2 * 10 + 3 * 1 =

100 + 20 + 3 =

123

Each digit appearing to the left of the decimal point represents a value between zero and nine times power of ten represented by its position in the number. Digits appearing to the right of the decimal point represent a value between zero and nine times an increasing negative power of ten. For example, the value 725.194 is represented as follows:

7 * 10² + 2 * 10¹ + 5 * 10⁰ + 1 * 10^-1 + 9 * 10^-2 + 4 * 10^-3 =

7 * 100 + 2 * 10 + 5 * 1 + 1 * 0.1 + 9 * 0.01 + 4 * 0.001 =

700 + 20 + 5 + 0.1 + 0.09 + 0.004 =

725.194

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