Write numbers in expanded form

Writing a whole number in expanded form expresses it as the sum of the values of its digits according to their places, such as $506 = 500 + 0\text{ tens} + 6$ , or $500 + 6$ . This connects numerals with hundreds, tens, and ones, including zero’s role as a placeholder, and supports composing, decomposing, and comparing numbers through 1,000; decimals and larger place-value systems are not included.

Detailed Explanation: Write numbers in expanded form

Expanded form shows the value of each digit in a number. Look at the digit’s place:

Hundreds place: groups of $100$
Tens place: groups of $10$
Ones place: single units

Example: Write $704$ in expanded form.

The $7$ is in the hundreds place, so it is worth $700$ .
The $0$ is in the tens place, so it is worth $0$ tens, or $0$ .
The $4$ is in the ones place, so it is worth $4$ .

Add the place values:

704 = 700 + 0 + 4

We can leave out the $0$ when writing the sum:

704 = 700 + 4

The zero is still important because it holds the tens place.

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Place Value - Normal to Expanded Form (Numbers)

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Write numbers in expanded form

Detailed Explanation: Write numbers in expanded form

Learn by doing: Write numbers in expanded form

Practice with unlimited practice problems

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Place Value - Normal to Expanded Form (Numbers)