Place Value Subtraction Worksheets for Grade 3

Comprehensive worksheets with detailed solutions and practice materials for mastering place value subtraction.

Basic Place Value Subtraction Worksheets
1 Single-Digit Subtraction
Single-Digit Subtraction Problems
Solve these basic subtraction problems using place value:
Practice Problems
Problem 1: 8 - 3
Solution:

8 ones - 3 ones = 5 ones, answer: 5

Problem 2: 9 - 6
Solution:

9 ones - 6 ones = 3 ones, answer: 3

Problem 3: 7 - 4
Solution:

7 ones - 4 ones = 3 ones, answer: 3

Problem 4: 5 - 2
Solution:

5 ones - 2 ones = 3 ones, answer: 3

Problem 5: 6 - 1
Solution:

6 ones - 1 one = 5 ones, answer: 5

2 Two-Digit Subtraction Without Regrouping
Two-Digit Subtraction Problems
Solve these two-digit subtraction problems (no regrouping needed):
Advanced Practice Problems
Problem 1: 57 - 23
Solution:

Tens: 5 - 2 = 3, Ones: 7 - 3 = 4, answer: 34

Problem 2: 89 - 45
Solution:

Tens: 8 - 4 = 4, Ones: 9 - 5 = 4, answer: 44

Problem 3: 76 - 32
Solution:

Tens: 7 - 3 = 4, Ones: 6 - 2 = 4, answer: 44

Problem 4: 94 - 61
Solution:

Tens: 9 - 6 = 3, Ones: 4 - 1 = 3, answer: 33

Problem 5: 68 - 25
Solution:

Tens: 6 - 2 = 4, Ones: 8 - 5 = 3, answer: 43

Complete Summary: Place Value Subtraction
Key Concepts and Definitions

Place Value: The value of a digit based on its position in a number (ones, tens, hundreds, etc.)

Subtraction: The mathematical operation of finding the difference between two numbers

Regrouping: Converting 1 unit from a higher place value to 10 units of the next lower place value

Borrowing: Another term for regrouping in subtraction operations

Base-Ten System: Our number system where each place value is 10 times the previous one

Worksheet: A collection of practice problems designed to reinforce specific mathematical concepts

Core Rules and Principles

Place Value Rule: Always subtract digits in the same place value positions

Regrouping Rule: When the bottom digit is larger than the top digit in a place value, you must regroup from the next higher place value

Value Conversion: 1 hundred = 10 tens, 1 ten = 10 ones

Subtraction Sequence: Always start from the rightmost digit (ones place) and move left

Zero Handling: When you encounter a zero and need to regroup, continue to the next non-zero place value

Practice Principle: Repetition with varied difficulty levels leads to mastery

Step-by-Step Method
  1. Align Numbers: Write the numbers vertically with place values aligned
  2. Start from Right: Begin subtraction in the ones place
  3. Check Need: Compare digits in each place value (bottom vs top)
  4. Regroup if Needed: If bottom digit is larger, borrow from next higher place
  5. Subtract Digit: Perform subtraction in that place value
  6. Move Left: Continue to next place value (tens, then hundreds)
  7. Combine Results: Write the final answer combining all place values
  8. Verify: Add the difference back to the subtracted number to check accuracy
Examples - From Simple to Complex

Simple Example: \(8 - 3\)

8 ones - 3 ones = 5 ones, answer: 5

Intermediate Example: \(57 - 23\)

Tens: 5 - 2 = 3, Ones: 7 - 3 = 4, answer: 34

Complex Example: \(42 - 17\)

Ones: 2 < 7, so regroup: 42 = 30 + 12, then 12 - 7 = 5, 3 - 1 = 2, answer: 25

Tips, Tricks, and Common Pitfalls

Tips:

  • Always start subtracting from the ones place
  • Draw lines to separate place values visually
  • Check your answer by adding the difference back to the subtracted number
  • Practice with base-ten blocks to visualize the process
  • When you see a zero, always check if regrouping is needed from higher places

Common Mistakes:

  • Forgetting to regroup when needed
  • Subtracting smaller number from larger regardless of position
  • Misaligning digits when writing numbers vertically
  • Forgetting to reduce the higher place value after borrowing
  • Not continuing regrouping when there are zeros in higher places
Key Notes for Memorization

Memory Aids:

  • "More on the floor, go next door" - when bottom number is bigger, borrow from next place
  • "1 hundred = 10 tens = 100 ones" - know these conversions
  • Always start from the right (ones place)
  • After borrowing, the higher place value decreases by 1
  • Check your work: Difference + Subtracted = Original number
Advanced Place Value Subtraction Worksheets
3 Two-Digit Subtraction With Regrouping
Two-Digit Subtraction With Regrouping
Solve these two-digit subtraction problems with regrouping:
Word Problems
Problem 1: 52 - 17
Solution:

Ones: 2 < 7, so regroup: 52 = 40 + 12, then 12 - 7 = 5, 4 - 1 = 3, answer: 35

Problem 2: 64 - 28
Solution:

Ones: 4 < 8, so regroup: 64 = 50 + 14, then 14 - 8 = 6, 5 - 2 = 3, answer: 36

Problem 3: 73 - 49
Solution:

Ones: 3 < 9, so regroup: 73 = 60 + 13, then 13 - 9 = 4, 6 - 4 = 2, answer: 24

Problem 4: 81 - 56
Solution:

Ones: 1 < 6, so regroup: 81 = 70 + 11, then 11 - 6 = 5, 7 - 5 = 2, answer: 25

Problem 5: 95 - 68
Solution:

Ones: 5 < 8, so regroup: 95 = 80 + 15, then 15 - 8 = 7, 8 - 6 = 2, answer: 27

4 Three-Digit Subtraction
Three-Digit Subtraction Problems
Solve these three-digit subtraction problems:
Mixed Problems
Problem 1: 345 - 123
Solution:

Hundreds: 3 - 1 = 2, Tens: 4 - 2 = 2, Ones: 5 - 3 = 2, answer: 222

Problem 2: 567 - 234
Solution:

Hundreds: 5 - 2 = 3, Tens: 6 - 3 = 3, Ones: 7 - 4 = 3, answer: 333

Problem 3: 402 - 157
Solution:

Ones: 2 < 7, regroup from tens (0), regroup from hundreds: 402 = 300 + 90 + 12, then 12 - 7 = 5, 9 - 5 = 4, 3 - 1 = 2, answer: 245

Problem 4: 600 - 348
Solution:

Ones: 0 < 8, regroup from tens (0), regroup from hundreds: 600 = 500 + 100 = 500 + 90 + 10, then 10 - 8 = 2, 9 - 4 = 5, 5 - 3 = 2, answer: 252

Problem 5: 705 - 269
Solution:

Ones: 5 < 9, regroup from tens (0), regroup from hundreds: 705 = 600 + 100 + 5 = 600 + 90 + 15, then 15 - 9 = 6, 9 - 6 = 3, 6 - 2 = 4, answer: 436

Questions & Answers

Question: Why do we need to learn place value subtraction? Can't we just count backwards?

Answer: Great question! While counting backwards works for small numbers, place value subtraction helps us solve much larger problems quickly and accurately. It also builds your understanding of how numbers work, which is important for harder math later.

For example, try counting backwards from 500 to 237 - that would take a long time! But with place value subtraction, you can do it much faster: 500 - 237 = 263.

Understanding place value also helps you understand money, measurements, and many other real-world applications.

Question: How can I help my child practice place value subtraction at home?

Answer: There are many fun ways to practice at home! Try using everyday objects like coins, blocks, or dried beans to represent tens and ones. You can also use the worksheets provided here.

Make it a game! Time your child doing problems, or make it into a competition. You can also use online math games or apps that focus on place value subtraction.

Practice for just 10-15 minutes a day is more effective than longer sessions. And always encourage your child to explain their thinking - this helps them understand better.

Question: Will place value subtraction help me with other math topics?

Answer: Absolutely! Understanding place value subtraction is fundamental to many other math concepts:

  • Addition with regrouping
  • Multiplication and division
  • Working with decimals
  • Understanding large numbers
  • Estimation and rounding
  • Algebra concepts later on

The skills you learn now will make those future topics much easier. Place value understanding is like a foundation - everything else in math is built on top of it!