Unit Form

Unit form is writing the digit in each place with the name of the place. Numbers in unit form are written with a comma between each place.

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How do you write 908,722,413 in unit form?

908,722,413 = 9 100-millions, 8 millions, 7 100-thousands, 2 10-thousands, 2 thousands, 4 hundreds, 1 ten, 3 ones

Numbers in unit form will have the same number of units as the number’s non-zero digits. Even though 908,722,413 has 9 digits, it only has 8 non-zero digits, which means it has 8 units.

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The interesting thing about unit form is it doesn’t always have a 1-digit number in each unit. Numbers can be composed and decomposed in many ways. Unit form looks at the value of the units in each place.

Here are 4 different ways to show 87,952 in unit form:

87,952
10-thousands	thousands	hundreds	tens	ones
8	7	9	5	2
7	17	8	15	2
8	7	7	24	12
6	26	19	0	52

• Example #1: 80,000 + 7,000 + 900 + 50 + 2 = 87,952
• Example #2: 70,000 + 17,000 + 800 + 150 + 2 = 87,952
• Example #3: 80,000 + 7,000 + 700 + 240 + 12 = 87,952
• Example #4: 60,000 + 26,000 + 1,900 + 52 = 87,952

Practice Problems

Related Math Lessons

• 3rd Grade: Understanding 4-Digit Numbers
• 3rd Grade: Understanding 5-Digit Numbers
• 4th Grade: Numbers to 1 Million
• 4th Grade: Numbers to 1 Billion