Idea 5of 23Builds onA zero holds an empty place
Expanded form shows each digit's value
How can you write a number to show what each digit is worth?
Today you'll discover
- how to write a number as a sum
- what to do with a zero
- how to put a sum back together
Think firstThe number 30 784
Which is 30 784 in expanded form?
Decide first, then press Next. Write what each digit is worth.
A place-value chart holding 3, 0, 7, 8 and 4. Under it, each digit's value: 30 000, 0, 700, 80 and 4; then the sum 30 000 + 700 + 80 + 4 = 30 784, and the words thirty thousand seven hundred eighty-four. The last step gives the parts 6, 900, 70 000 and 40 out of order.
See the whole ideathe big idea and the key word, in one place
The big idea
Expanded form writes each digit's value as a sum; standard form writes the digits.
Three forms
One number, written three ways.
- standard form30 784
- expanded form30 000 + 700 + 80 + 4
- word formthirty thousand seven hundred eighty-four
Key words
- expanded form
- a number written as the sum of its digits' values: 30 000 + 700 + 80 + 4
- standard form
- a number written with digits in their places: 30 784
Ready to use it?
- Write a number in expanded form, and put an expanded form back together.