How to Identify the Place Value of Decimals
With decimals, this idea behind the place value of whole numbers is extended. First, a decimal point is placed to the right of the ones place in a whole number. Then more numbers are appended to the right of the decimal point.
The following table shows how the whole number 4,672 breaks down in terms of place value.
This number means 4,000 + 600 + 70 + 2.
Similarly, the decimal 4,672.389 breaks down as shown:
This decimal means
The connection between fractions and decimals becomes obvious when you look at place value. Decimals really are a shorthand notation for fractions. You can represent any fraction as a decimal.