Write whole numbers in expanded form

A whole number can be decomposed into the sum of the value of each digit according to its place, typically through the millions place; for example, 4,305,018 is 4,000,000 + 300,000 + 5,000 + 10 + 8. This understanding includes the role of zero as a placeholder and prevents confusing a digit’s face value with its place value, supporting later work with multi-digit computation and powers of ten; decimals, negative numbers, and arbitrarily large or generalized algebraic forms are outside this scope.

Detailed Explanation: Write whole numbers in expanded form

To write a whole number in expanded form, break it apart by the place value of each digit. Then add the value of each digit.

Remember these place values:

Ones
Tens
Hundreds
Thousands
Ten-thousands
Hundred-thousands
Millions

Example: Write $(4{,}305{,}018)$ in expanded form.

Look at each digit and its place:
- $4$ is in the millions place: $(4{,}000{,}000)$
- $3$ is in the hundred-thousands place: $(300{,}000)$
- $0$ is in the ten-thousands place: $0$
- $5$ is in the thousands place: $(5{,}000)$
- $0$ is in the hundreds place: $0$
- $1$ is in the tens place: $(10)$
- $8$ is in the ones place: $8$
Add the value of each nonzero digit:

4{,}305{,}018 = 4{,}000{,}000+300{,}000+5{,}000+10+8

The zeros are placeholders. They show that there are no ten-thousands or hundreds in the number, so those zero-value parts are usually left out of the expanded form.

Learn by doing: Write whole numbers in expanded form

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Place Value - Normal to Expanded Form (Numbers)

Earned ?