Expanded Form Calculator
Enter a whole number below to instantly break it into place-value terms.
How Expanded Form Works
Each digit's place value is the digit multiplied by its power of ten (ones, tens, hundreds, and so on). Adding all the place values back together reproduces the original number.
Worked example
Write 4,025 in expanded form.
4 is in the thousands place: 4,000. 2 is in the tens place: 20. 5 is in the ones place: 5.
Expanded form: 4,000 + 20 + 5
Frequently Asked Questions
What is expanded form?
Expanded form breaks a number into the sum of the place value of each digit. For example, 4,025 in expanded form is 4,000 + 20 + 5.
Why do zero digits disappear in expanded form?
A zero digit contributes nothing to the sum (its place value is 0), so it's normally left out of the expanded form entirely.
How is expanded form useful?
It shows exactly what each digit in a number is worth, which is why it's commonly taught alongside place value in elementary math.
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