Place value and rounding extends fourth graders' number sense to the millions. Students learn to identify and compare the values of digits in numbers up to seven digits, write numbers in standard, word, and expanded form, and round to any place from the nearest ten through the nearest million. These skills underpin all large-number computation and estimation work throughout the year.
The main challenge is that students misidentify place values in large numbers, often confusing thousands with ten-thousands or hundred-thousands with millions. When rounding, students frequently round based on the digit being rounded (rounding 4,950 to the nearest hundred as 5,000 instead of 5,000 — actually correct here, but students often make wrong choices by focusing on the digit in the rounding place rather than the one to its right). In Grade 3, students rounded to the nearest ten and hundred; Grade 4 extends this to the nearest thousand, ten-thousand, and beyond.
Our place value and rounding worksheets give fourth graders structured practice correcting place value errors, reading expanded form, comparing multi-digit numbers, rounding to multiple place values, and solving reasoning problems that require identifying mystery numbers from clues.
Worksheet Preview
Browse all 12 printable worksheets below — click any card to open the full page.
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
Place Value and Rounding
What's Included in This Download
What You'll Learn
These place value and rounding worksheets help grade 4 students develop essential math skills through engaging activities.
Learning Objectives
- Place Value to Millions: Identify digit values up to the millions place
- Expanded Form: Write numbers in expanded, standard, and word form
- Compare Numbers: Use symbols to compare multi-digit numbers
- Rounding: Round numbers to any given place value
- Number Patterns: Recognize patterns in place value relationships
Skills Covered
How to Use These Worksheets
- Download & Print: Click the download button to get the PDF. Print on standard 8.5" x 11" paper.
- Start Simple: Begin with easier pages before moving to more challenging activities.
- Daily Practice: Dedicate 10-15 minutes each day for consistent learning.
- Use Manipulatives: Pair worksheets with physical objects like blocks or counters.
- Provide Encouragement: Celebrate progress and effort to build confidence.
- Check Progress: Use the included answer key to review work together.
Common Mistakes to Watch For
- Confusing place positions in large numbers — students identify the digit 3 in 435,208 as being in the thousands place instead of the ten-thousands place, getting its value wrong by a factor of 10. Counting place positions from the right — ones, tens, hundreds, thousands, ten-thousands — prevents this.
- Comparing numbers by leading digit alone — students conclude 980,000 > 1,200,000 because 9 > 1, ignoring that 1,200,000 is a 7-digit number while 980,000 is only 6 digits. Number of digits must be compared first.
- Rounding to the wrong digit — students look at the digit in the rounding place instead of the digit one position to its right. The rule is: look at the digit immediately to the right of where you are rounding. If it is 5 or greater, round up; if it is 4 or less, round down.
Frequently Asked Questions
How do you find the value of a digit in a large number?
Count the digit's place position from the right: the rightmost digit is the ones place, then tens, hundreds, thousands, ten-thousands, hundred-thousands, millions. The value of a digit equals that digit multiplied by its place value. In 435,208, the 3 is in the ten-thousands place (fifth from the right), so its value is 3 × 10,000 = 30,000. The face value is 3; the place value is ten-thousands; the total value is 30,000.
What is expanded form and how do you write it?
Expanded form breaks a number into the sum of each digit's individual value. For 2,045,300: 2,000,000 + 40,000 + 5,000 + 300. Note that digits with a value of zero (like the hundreds digit here) are omitted because zero has no value in that place. Expanded form makes the structure of a large number visible and reinforces that each digit's contribution depends entirely on its position.
How do you compare two large numbers?
First compare the number of digits — a 7-digit number is always greater than a 6-digit number. If the digit count is the same, compare place by place from left to right (starting with the highest place value). The first place where the digits differ determines which number is greater. For 728,415 vs. 728,451: the first five digits match; the tens digits are 1 and 5, so 728,451 > 728,415.
What is the rule for rounding?
Identify the place you want to round to. Look at the digit immediately to its right. If that digit is 5 or greater, increase the rounding-place digit by 1. If it is 4 or less, keep the rounding-place digit the same. In either case, replace all digits to the right of the rounding place with zeros. For 4,367 rounded to the nearest hundred: the tens digit is 6 (≥5), so round up the hundreds digit: 4,400.
Why do we round numbers?
Rounding simplifies large numbers to make them easier to work with in estimation and everyday communication. Saying a city's population is 'about 1.8 million' is more memorable and usable than '1,847,562' in most conversations. In math, rounding is used to check whether calculated answers are reasonable — if your estimate is 3,000 and your answer is 30,000, something went wrong. Choosing the right place to round to depends on the precision the context requires.
Are these worksheets really free?
Yes! All our worksheets are 100% free to download and print. There's no subscription, no hidden fees, and no registration required.
Can I use these in my classroom?
Absolutely! Teachers are welcome to print and use these worksheets in their classrooms. Make as many copies as needed for your students.