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Concept

Place Value

Depending on its position, each digit in a number can have a different value – even if it is the same digit. Consider writing the amount of dollars.
Although the digit appears twice, the value differs depending on the place value. The furthest to the left is in the tens place while the other is in the ones place. Furthermore, place value can be used to write numbers in expanded form.
When a number is written in expanded form, each digit is multiplied by its corresponding place value before being added together. In the case of currency, the expanded form can represent different denominations. Adding ten-dollar bills and one-dollar bills together makes twenty-two dollars. Consider another example.

The importance of place value in numbers can be seen by breaking this number down into digits and place values.

Digit Place Value Value
Ten-thousands
Thousands
Hundreds
Tens
Ones
Tenths
Hundredths
Thousandths