Expanded Form Subtraction Worksheet for Grade 1

Master expanded form subtraction: place value understanding, step-by-step methods, and detailed solutions through these 5 exercises.

Expanded Form Subtraction Worksheet

Visual Guide to Understanding Place Value and Subtraction

🔢
Place Value
Tens and Ones positions
📝
Expanded Form
Break numbers into parts
➖
Subtraction
Taking away parts
🔄
Regrouping
Borrowing when needed
1
Write in Expanded Form
2
Compare Ones
3
Regroup if Needed
4
Subtract Each Place
32 = 30 + 2
→
32 = 20 + 12
→
Regroup: 1 ten to 10 ones
Worksheet: Exercises 1 to 3
1 Basic Subtraction
Exercise 1
Solve: 45 - 23 using expanded form subtraction
Definition:

Expanded Form: Writing a number as the sum of its place values (e.g., 45 = 40 + 5)

Subtraction Method:
  1. Write numbers in expanded form
  2. Subtract ones from ones
  3. Subtract tens from tens
  4. Combine results
Step 1: Write in expanded form

45 = 40 + 5

23 = 20 + 3

Step 2: Subtract ones

5 ones - 3 ones = 2 ones

Step 3: Subtract tens

40 tens - 20 tens = 20 tens

Step 4: Combine results

20 + 2 = 22

45 - 23 = 22
Final Answer:

45 - 23 = 22

Applied Rules:

• Place Value: Tens and ones subtracted separately

• No Regrouping: When ones in minuend ≥ ones in subtrahend

• Verification: Check by adding: 22 + 23 = 45 ✓

2 Subtraction with Regrouping
Exercise 2
Solve: 52 - 37 using expanded form subtraction with regrouping
Step 1: Write in expanded form

52 = 50 + 2

37 = 30 + 7

Step 2: Check if regrouping is needed

We need to subtract: (50 + 2) - (30 + 7)

Check: 2 ones < 7 ones, so we need to regroup!

Step 3: Regroup 52

Take 1 ten from 50, convert to 10 ones

52 = 50 + 2 = 40 + 10 + 2 = 40 + 12

Step 4: Subtract ones

12 ones - 7 ones = 5 ones

Step 5: Subtract tens

40 tens - 30 tens = 10 tens

Step 6: Combine results

10 + 5 = 15

52 - 37 = 15
Final Answer:

52 - 37 = 15

Applied Rules:

• Regrouping: When ones in minuend < ones in subtrahend

• Place Value: Tens and ones subtracted separately

• Verification: Check by adding: 15 + 37 = 52 ✓

3 Practice with Regrouping
Exercise 3
Solve: 61 - 28 using expanded form subtraction with regrouping
Step 1: Write in expanded form

61 = 60 + 1

28 = 20 + 8

Step 2: Check if regrouping is needed

We need to subtract: (60 + 1) - (20 + 8)

Check: 1 ones < 8 ones, so we need to regroup!

Step 3: Regroup 61

Take 1 ten from 60, convert to 10 ones

61 = 60 + 1 = 50 + 10 + 1 = 50 + 11

Step 4: Subtract ones

11 ones - 8 ones = 3 ones

Step 5: Subtract tens

50 tens - 20 tens = 30 tens

Step 6: Combine results

30 + 3 = 33

61 - 28 = 33
Final Answer:

61 - 28 = 33

Applied Rules:

• Regrouping: When ones in minuend < ones in subtrahend

• Place Value: Tens and ones subtracted separately

• Verification: Check by adding: 33 + 28 = 61 ✓

Worksheet: Exercises 4 to 5
4 Advanced Subtraction
Exercise 4
Solve: 73 - 46 using expanded form subtraction with regrouping
Step 1: Write in expanded form

73 = 70 + 3

46 = 40 + 6

Step 2: Check if regrouping is needed

We need to subtract: (70 + 3) - (40 + 6)

Check: 3 ones < 6 ones, so we need to regroup!

Step 3: Regroup 73

Take 1 ten from 70, convert to 10 ones

73 = 70 + 3 = 60 + 10 + 3 = 60 + 13

Step 4: Subtract ones

13 ones - 6 ones = 7 ones

Step 5: Subtract tens

60 tens - 40 tens = 20 tens

Step 6: Combine results

20 + 7 = 27

73 - 46 = 27
Final Answer:

73 - 46 = 27

Applied Rules:

• Regrouping: When ones in minuend < ones in subtrahend

• Place Value: Tens and ones subtracted separately

• Verification: Check by adding: 27 + 46 = 73 ✓

5 Challenge Problem
Exercise 5
Solve: 84 - 59 using expanded form subtraction with regrouping
Step 1: Write in expanded form

84 = 80 + 4

59 = 50 + 9

Step 2: Check if regrouping is needed

We need to subtract: (80 + 4) - (50 + 9)

Check: 4 ones < 9 ones, so we need to regroup!

Step 3: Regroup 84

Take 1 ten from 80, convert to 10 ones

84 = 80 + 4 = 70 + 10 + 4 = 70 + 14

Step 4: Subtract ones

14 ones - 9 ones = 5 ones

Step 5: Subtract tens

70 tens - 50 tens = 20 tens

Step 6: Combine results

20 + 5 = 25

84 - 59 = 25
Final Answer:

84 - 59 = 25

Applied Rules:

• Regrouping: When ones in minuend < ones in subtrahend

• Place Value: Tens and ones subtracted separately

• Verification: Check by adding: 25 + 59 = 84 ✓

Comprehensive Summary: Expanded Form Subtraction

Complete Guide to Expanded Form Subtraction

This summary provides a comprehensive overview of expanded form subtraction, covering all essential concepts, methods, and practice strategies.

Key Definitions
  • Expanded Form: Writing a number as the sum of its place values (e.g., 45 = 40 + 5)
  • Minuend: The number being subtracted from (the larger number)
  • Subtrahend: The number being subtracted (the smaller number)
  • Difference: The result of subtraction
  • Regrouping: Converting 1 ten into 10 ones when needed for subtraction
  • Place Value: The value of a digit based on its position (tens, ones)
Core Rules & Principles
  • Regrouping Rule: If ones in minuend < ones in subtrahend, regroup by taking 1 ten = 10 ones
  • Place Value Rule: Tens and ones must be subtracted separately
  • Value Conservation: Regrouping changes the form but not the value of the number
  • Verification Rule: Difference + Subtrahend = Minuend
Step-by-Step Method
  1. Identify Numbers: Determine minuend and subtrahend
  2. Write Expanded Forms: Express both numbers as tens + ones
  3. Compare Ones: Check if minuend ones ≥ subtrahend ones
  4. Regroup if Needed: Take 1 ten from tens place, add 10 to ones place
  5. Subtract Ones: Subtract ones from ones
  6. Subtract Tens: Subtract tens from tens
  7. Combine Results: Add tens and ones together
  8. Verify Answer: Add difference to subtrahend to check
Examples & Practice

Simple Example:

35 - 12: 30+5 - 10+2 = 20+3 = 23 (no regrouping needed)

With Regrouping:

42 - 17: 40+2 → 30+12, then 30+12 - 10+7 = 20+5 = 25

Advanced:

81 - 39: 80+1 → 70+11, then 70+11 - 30+9 = 40+2 = 42

Tips & Tricks
  • Always Check: Look at ones column first to decide if regrouping is needed
  • Visual Aid: Use base-10 blocks to physically see the regrouping
  • Count Up: After solving, count up from answer to minuend to verify
  • Pattern Recognition: Numbers ending in small ones often need regrouping
  • Verification: Always add your answer to the subtrahend to check
Common Pitfalls
  • Forgetting Regrouping: Not checking if ones subtraction is possible
  • Mixing Places: Subtracting tens from ones or vice versa
  • Incorrect Regrouping: Forgetting to reduce tens by 1 when adding to ones
  • Sign Confusion: Subtracting in wrong order
  • Verification Neglect: Not checking work after solving
Memory Aids
  • "More on Top, Don't Need to Stop": If top ones ≥ bottom ones, no regrouping
  • "More on Bottom, Need to Borrow": If top ones < bottom ones, regroup
  • "Tens Down One, Ones Up Ten": When regrouping, reduce tens by 1, add 10 to ones
  • "Check Your Work": Always verify by addition
Key Takeaways
  • Expanded form helps understand place value relationships
  • Regrouping is just changing the form, not the value
  • Always subtract like place values (ones from ones, tens from tens)
  • Verification through addition builds confidence
  • Practice with various problems strengthens skills

Questions & Answers

Question: I keep forgetting when I need to regroup. Is there a quick way to remember?

Answer: Yes! Remember this rhyme: "More on top, don't need to stop. More on bottom, need to borrow." Before subtracting, always look at the ones place. If the top number is bigger or equal to the bottom number, you can subtract directly. If the bottom number is bigger, you need to regroup. For example, in 52 - 37, check: is 2 ≥ 7? No, so you need to regroup.

Question: Why do we write numbers in expanded form? Isn't regular subtraction easier?

Answer: Expanded form subtraction helps you understand what's really happening when you subtract. It shows you that when you "borrow," you're actually converting 1 ten into 10 ones. This builds a strong foundation for understanding place value and makes more complex subtraction (with larger numbers) much easier later. Think of it as learning to walk before running - it may seem slower now, but it makes everything else easier!

Question: How can I check if my answer is right?

Answer: The best way to check your subtraction is to add your answer (the difference) to the number you subtracted (the subtrahend). If you get the original number (the minuend), your answer is correct! For example, if you calculated 52 - 37 = 15, check: 15 + 37 = 52. If it equals the original number, you got it right!