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
Without a solid sense that a digit's value depends on its position, regrouping and rounding look like arbitrary rules to memorize instead of things that make sense.
How to do it
- Read each digit's position: ones, tens, hundreds, thousands…
- A digit's value is the digit times its place (7 in the tens place = 70).
- Expanded form adds up each digit's value.
Examples by level
- BeginnerCompare 4425 and 7425. Use <, > or =.Answer4425 < 7425
- Intermediate2000 + 500 + 90 + 8 =Answer2598
- Advanced2000 + 3 + 60 + 100 =Answer2163
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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