Expanded form worksheets
16 expanded form problems with 4-digit numbers · 1 page + answer key
Explore place value programs
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Sixteen four-digit numbers to write in expanded form: 6,284 = 6,000 + 200 + 80 + 4. About one in four numbers has a zero in the middle, like 3,056, where the hundreds place is skipped in the expanded form. That case catches the most mistakes.
Expanded form shows what each digit is worth and leads straight to mental math (46 + 38 = 40 + 30 + 6 + 8) and to multiplying with the area model. It appears in the 2nd grade standards for three-digit numbers and in 4th grade for bigger numbers. Change Digits above for 3- to 6-digit numbers, or try the reverse with standard form in the place value worksheets.
Tips for using it
- Write one part per nonzero digit, then check the parts add back to the number.
- Skip zeros: 3,056 = 3,000 + 50 + 6.
Variations
All place value worksheets- 1st grade place value worksheets
- 2nd grade place value worksheets
- 4th grade place value worksheets
- Base-ten blocks worksheets
- Comparing numbers worksheets
- Rounding worksheets
- Free place value worksheets
- 3rd grade rounding worksheets
- 4th grade rounding worksheets
- Skip counting worksheets
- Skip counting by 10s worksheets
- Skip counting by 2s worksheets
Questions
How do you write a number in expanded form?
Multiply each digit by its place value and write them as a sum. For 5,307: 5,000 + 300 + 7. Zeros are left out.
Is expanded form the same as expanded notation?
Close. Expanded notation sometimes shows the multiplication too: (5 × 1,000) + (3 × 100) + (7 × 1). Both show the value of each digit.