Place Value · Grades 2–5

Place Value Worksheets

What a digit is worth depends entirely on where it sits. Worksheets for naming the value of a digit and writing numbers in expanded form.

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What it is

Place value is what each digit is worth because of where it sits. In 372, the 3 means 300, the 7 means 70, and the 2 means 2.

Why it matters

Place value is the foundation of the number system, it makes regrouping, rounding, and multi-digit arithmetic make sense rather than being memorized tricks.

How to do it

  1. Read each digit's position: ones, tens, hundreds, thousands…
  2. A digit's value is the digit times its place (7 in the tens place = 70).
  3. Expanded form adds up each digit's value.

Examples by level

  • BeginnerIn 196, the value of the tens digit =90
  • Intermediate1633 in expanded form =1000 + 600 + 30 + 3
  • Advanced266411 in expanded form =200000 + 60000 + 6000 + 400 + 10 + 1

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

  • Reading a digit's face value instead of its place value (the 7 in 700 is worth 700, not 7).
  • Skipping a zero place in expanded form.
  • Miscounting places in larger numbers.

Tips

  • A digit's value depends on its place, not just the digit.
  • Skip places that hold a zero in expanded form.

For parents

Point to each digit and ask 'how many ones, tens, hundreds?', the position tells you what it's worth.

For teachers

A place-value chart under each number turns 'value of the digit' and 'expanded form' into the same easy read.

Key vocabulary

place value
what a digit is worth based on its position
expanded form
a number written as the sum of each digit's value

Frequently asked questions

What is place value?
The value a digit has because of its position, in 372, the 7 is in the tens place, so it's worth 70.
What is expanded form?
Writing a number as the sum of each digit's value, like 372 = 300 + 70 + 2.

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