Place Value Worksheets
Digit value, expanded form, comparing and rounding — from tens and ones up to hundreds of thousands.
Choose a worksheet
Each button opens the generator with the right grade and problem type already chosen. Adjust the number of problems or layout, then click Export as PDF.
Sample problems
A few problems like the ones on these worksheets, with answers. Every worksheet you generate has new numbers.
1st grade · Tens & ones
- In 34, what digit is in the ones place? 4
- In 72, what digit is in the ones place? 2
- In 37, what digit is in the tens place? 3
- In 91, what digit is in the tens place? 9
2nd grade · Hundreds, tens & ones
- In 969, what digit is in the ones place? 9
- In 974, what digit is in the ones place? 4
- In 281, what digit is in the ones place? 1
- In 405, what digit is in the hundreds place? 4
2nd grade · Expanded form
- Write 809 in expanded form. 800 + 9
- Write 683 in expanded form. 600 + 80 + 3
- Write 426 in expanded form. 400 + 20 + 6
- Write 799 in expanded form. 700 + 90 + 9
Why place value matters
Place value is the idea that a digit's position decides its value: the 4 in 347 means 4 tens, or 40. It is the foundation for regrouping in addition and subtraction, for long multiplication and division, and later for decimals.
Teaching tips
- Build numbers. Base-ten blocks or bundles of 10 straws make "3 tens and 4 ones" something children can hold.
- Say it in expanded form. "3,045 is 3 thousands, 0 hundreds, 4 tens and 5 ones" — the zero is where most errors happen.
- Round with a number line. Is 347 closer to 300 or 400? Marking the halfway point (350) makes the rule visible.
Common mistakes
- Naming the digit instead of its value (saying "4" when asked the value of the 4 in 347).
- Dropping zeros in expanded form (3,045 = 3,000 + 45 instead of 3,000 + 40 + 5).
- Rounding 350 down instead of up — numbers exactly halfway round up.
Frequently asked questions
How big are the numbers at each grade?
1st grade uses two-digit numbers, 2nd grade three-digit, 3rd grade four-digit, 4th grade up to six digits and 5th grade up to seven digits.
How does rounding handle numbers exactly halfway?
They round up, as taught in US schools — 350 rounds to 400 and 2,500 rounds to 3,000.
Is there a worksheet for comparing numbers?
Yes — choose "Compare Numbers" under Number Structure in the generator for problems with <, > and =.