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2nd Grade Place Value Worksheets

Hundreds, tens, ones, and expanded form practice with zero-in-a-place examples. Styled as Professor Split's Number X-Ray Machine: each three-digit number rides the belt and the scanner reports what it's made of — with zero-in-a-place numbers (406, 808, 507, 305) built in on purpose.

Free printable PDF, separate answer key, no login.

Teachers: you're free to download, copy, and share these with your class however you like — no permission needed.

Skill Focus

What this worksheet practices

Place value is the foundation under most Grade 2 arithmetic. A digit changes value depending on where it sits: 6 can mean 6 ones, 6 tens, or 6 hundreds. This page gives students repeated chances to name those places and connect them to expanded form.

Zero-in-a-place examples are included on purpose. A number like 406 is not "four hundred sixty"; the zero tens matter because they hold the tens place open. Seeing 400 + 0 + 6 helps children understand why written numbers work the way they do.

If your child struggles, build the number with base-ten drawings or blocks first. Then write the chart, then the expanded form. The goal is not to memorize a sentence pattern but to understand that each place carries a specific value.

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Worked Examples

How to approach this skill

Place value practice is easier to review when the student can explain the steps, not just the answer.

01

406

  1. 4 is in the hundreds place, so it means 400.
  2. 0 is in the tens place, so it means 0 tens.
  3. 6 is in the ones place. Expanded form: 400 + 0 + 6.
02

582

  1. 5 hundreds, 8 tens, and 2 ones.
  2. Expanded form: 500 + 80 + 2.
  3. The standard form is 582.
03

970

  1. 9 hundreds = 900 and 7 tens = 70.
  2. 0 ones means no extra ones are added.
  3. Expanded form: 900 + 70 + 0.
Problem Mix

What appears on the page

These sample prompts come from this worksheet set's structured item data.

1 Place value

Write 406 in expanded form.

2 Place value

Write the hundreds, tens, and ones for 730.

3 Place value

Write 582 in expanded form.

4 Place value

Write the hundreds, tens, and ones for 209.

5 Place value

Write 615 in expanded form.

6 Place value

Write 970 in expanded form.

7 Place value

Write the hundreds, tens, and ones for 341.

8 Place value

Write 808 in expanded form.

Printable downloads

Print the student sheet and answer key.

Use the worksheet for student work and the answer key for quick checking. The files are kept separate so the key does not sit on the same page as the practice.

Teachers: use these however you wish — print a class set, share with colleagues, send copies home. No permission needed, ever.

FAQ

Place value questions

Should expanded form include zero places?

For early practice, yes. It helps students see that a zero still holds a place.

What numbers does this worksheet use?

It uses three-digit numbers, including numbers with zero in the tens or ones place.

How does this help addition and subtraction?

Regrouping only makes sense when students know what hundreds, tens, and ones represent.

Grade 2 math workbook

Grade 2 Math Workbook

These free worksheets give focused practice now. The full-color workbook is in development for a broader, structured Grade 2 math path with parent-readable explanations.

View workbook