Place value with tenths

Tenths isn't the the the number on the right of the decimal. Example tenth=1 so 0.1

6,702 = 6 thousands and 7 hundreds and 0 tens and 2 ones

= 6 * 1000 + 7 * 100 + 0 * 10 + 2 * 1

= 6000 + 700 + 2.

Above, we have written the number 6,702 in expanded form, or as a SUM of its different parts according to place value.

The digit 6 in the number 6,702 actually has the value 6,000 and the digit 7 actually signifies the value 700. This is why our number system is also called a place value system, because the value of a digit (like 6 or 7 in our example) depends on its placement within the number. In other words, the digit 6 in 6702 does not mean six but six thousand, because the six is placed in the thousands' place. The place of a digit determines its value.

The comma between thousands and hundreds is added as a separator for easier reading. In some countries an empty space is used instead: 6,702 is written as 6 702.