Expanded Form Worksheets

Every question gives a number and asks for it written as the sum of its place values: 4,321 becomes 4,000 + 300 + 20 + 1. The answer line runs the width of the page, because an expanded five-digit number is longer than the question that asked for it.

Numbers containing a zero turn up as they naturally would, and they are the interesting ones: 4,302 is 4,000 + 300 + 2, with nothing written for the empty tens column. Students who write 4,000 + 300 + 0 + 2 have the idea but not the convention.

Frequently asked questions

What is expanded form?

A number written as the sum of what each digit is worth. 4,321 in expanded form is 4,000 + 300 + 20 + 1.

How do you write a number with a zero in expanded form?

The empty column is left out. 4,302 is 4,000 + 300 + 2 - there is nothing in the tens place to write.

Can I make the numbers longer?

Yes - Number of Digits goes up to five, which reaches the ten thousands column.

Is there an answer key?

Turn on Include Answer Pages and a matching key prints behind each worksheet page, with the questions in the same order.