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.

1st gradeTens & onesMake this worksheet → 2nd gradeHundreds, tens & onesMake this worksheet → 2nd gradeExpanded formMake this worksheet → 2nd gradeSkip countingMake this worksheet → 3rd gradeRounding to 10 & 100Make this worksheet → 4th gradeBig numbers & roundingMake this worksheet →

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 67, what digit is in the tens place? ___ 6
In 79, what digit is in the tens place? ___ 7
In 91, what digit is in the ones place? ___ 1
In 63, what digit is in the tens place? ___ 6

2nd grade · Hundreds, tens & ones

In 439, what digit is in the tens place? ___ 3
In 252, what digit is in the tens place? ___ 5
In 759, what digit is in the tens place? ___ 5
In 624, what digit is in the tens place? ___ 2

2nd grade · Expanded form

Write 939 in expanded form. ___ 900 + 30 + 9
Write 251 in expanded form. ___ 200 + 50 + 1
Write 658 in expanded form. ___ 600 + 50 + 8
Write 183 in expanded form. ___ 100 + 80 + 3

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 =.