Complete Guide to Double Digit Subtraction Examples

Master double digit subtraction with detailed examples, borrowing techniques, and step-by-step solutions for 3rd grade math students.

Basic Double Digit Subtraction
1 No Borrowing Required
Definition:

Double Digit Subtraction: Subtracting two-digit numbers where the top digit in each place is greater than or equal to the bottom digit (no borrowing needed).

Example 1
Solve: 47 - 23
Setup
T
O
4
7
-
2
3
Subtraction method:
  1. Subtract the ones place first
  2. Subtract the tens place
  3. Write the answer below
Step 1: Subtract ones place

7 - 3 = 4

Step 2: Subtract tens place

4 - 2 = 2

Step 3: Write the answer

47 - 23 = 24

47 - 23 = 24
Final answer:

47 - 23 = 24

2 Another No Borrowing Example
Example 2
Solve: 86 - 52
Setup
T
O
8
6
-
5
2
Step 1: Subtract ones place

6 - 2 = 4

Step 2: Subtract tens place

8 - 5 = 3

Step 3: Write the answer

86 - 52 = 34

86 - 52 = 34
Final answer:

86 - 52 = 34

3 Verification Method
Definition:

Verification: Checking your subtraction by adding the result back to the number you subtracted.

Step 1: Take the result from Example 1

47 - 23 = 24

Step 2: Add the subtracted number back

24 + 23 = 47

Step 3: Check if you get the original number

Yes! We started with 47 and ended with 47, so our answer is correct.

Verification: 24 + 23 = 47 ✓
Verification success:

When subtraction result + subtracted number = original number, the answer is correct!

Subtraction with Borrowing Techniques
Borrowing: 1 Ten = 10 Ones
Regrouping in Subtraction
Borrowing Rule
Top < Bottom
Need to borrow
Borrowing Action
Take 1 from left
Add 10 to right
Verification
Result + Subtracted
Should equal original
Key definitions:

Borrowing: Also called "regrouping," occurs when the top digit is smaller than the bottom digit in a column.

Double Digit Subtraction: Subtracting two-digit numbers (10-99).

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

Regrouping: Converting 1 ten into 10 ones to make subtraction possible.

Minuend: The number being subtracted from.

Subtrahend: The number being subtracted.

Difference: The result of subtraction.

Complete borrowing methodology:
  1. Compare digits: Look at each column from right to left
  2. Check if borrowing needed: If top digit < bottom digit, borrow from left
  3. Borrow: Take 1 from the tens place, add 10 to the ones place
  4. Subtract: Now subtract in each column
  5. Verify: Add result to subtracted number to check
Tip 1: Always start from the rightmost column (ones place).
Tip 2: When borrowing, decrease the left digit by 1 and increase the right digit by 10.
Tip 3: Remember: 1 ten = 10 ones.
Tip 4: Circle or mark the number you borrowed from to remember.
Tip 5: Always verify your answer by adding the result to the subtracted number.
Common errors: Forgetting to borrow, not adjusting the left digit after borrowing, misaligning digits, calculation mistakes.
Success strategies: Neat handwriting, systematic approach, verification, regular practice.
Formulas to know by heart:

• Borrowing Condition: If top digit < bottom digit in any column

• Borrowing Action: Decrease left digit by 1, increase right digit by 10

• Verification: Difference + Subtrahend = Minuend

Subtraction Workflow

🔢
Subtraction Process
Double Digit Subtraction
🔍
Check
🔄
Borrow
🧮
Subtract
✅
Verify
Borrowing Trigger
When Top < Bottom
Ones: 3 < 7 → Borrow
Tens: 5 > 2 → OK
Convert 1 ten to 10 ones
Advanced Borrowing Examples
4 Single Borrowing Required
Example 3
Solve: 53 - 27
Setup
T
O
5
3
-
2
7
Step 1: Check ones place

3 - 7 → Can't do! 3 is less than 7, so we need to borrow.

Step 2: Borrow from tens place

Take 1 from tens place (5 becomes 4)
Add 10 to ones place (3 becomes 13)

Borrowing: 53 becomes 4 and 13
Step 3: Subtract ones place

13 - 7 = 6

Step 4: Subtract tens place

4 - 2 = 2

Step 5: Write the answer

53 - 27 = 26

53 - 27 = 26
Verification:

Check: 26 + 27 = 53 ✓

5 Another Borrowing Example
Example 4
Solve: 82 - 36
Setup
T
O
8
2
-
3
6
Step 1: Check ones place

2 - 6 → Can't do! 2 is less than 6, so we need to borrow.

Step 2: Borrow from tens place

Take 1 from tens place (8 becomes 7)
Add 10 to ones place (2 becomes 12)

Borrowing: 82 becomes 7 and 12
Step 3: Subtract ones place

12 - 6 = 6

Step 4: Subtract tens place

7 - 3 = 4

Step 5: Write the answer

82 - 36 = 46

82 - 36 = 46
Verification:

Check: 46 + 36 = 82 ✓

Comprehensive Double Digit Subtraction Guide
Minuend - Subtrahend = Difference
Double Digit Subtraction
Key definitions:

Double Digit Subtraction: Subtracting two-digit numbers (numbers from 10 to 99)

Borrowing: Taking 1 from the next higher place value when the top digit is smaller than the bottom digit

Place Value: The value of a digit based on its position (tens and ones for two-digit numbers)

Regrouping: Converting 1 ten into 10 ones to make subtraction possible

Verification: Checking the answer by adding the result to the subtracted number

Complete methodology:
  1. Align numbers: Write the numbers vertically with digits aligned by place value
  2. Start from right: Begin with the ones place
  3. Compare digits: Check if top digit ≥ bottom digit
  4. Subtract if possible: If top ≥ bottom, subtract directly
  5. Borrow if needed: If top < bottom, borrow from the next place value
  6. Continue left: Move to tens place and repeat
  7. Verify result: Add the answer to the subtracted number to check
Tip 1: Always work from right to left (ones → tens).
Tip 2: When borrowing, remember that 1 ten = 10 ones.
Tip 3: Circle or mark the number you borrowed from to avoid forgetting.
Tip 4: Practice with a variety of problems to build confidence.
Tip 5: Always verify your answer by adding the result to the subtracted number.
Tip 6: Use scratch paper for complex problems to keep work neat.
Common errors: Forgetting to borrow, not adjusting the tens place after borrowing, misaligning digits, calculation mistakes.
Success strategies: Neat handwriting, systematic approach, verification, regular practice, understanding place value.
Essential rules and formulas:

• Borrowing Rule: If top digit < bottom digit in any column, borrow from the next place value

• Borrowing Action: Decrease left digit by 1, increase right digit by 10

• Verification: Difference + Subtrahend = Minuend

• Place Value: Each digit position has a specific value (tens, ones)

Subtraction Success Checklist

✅
Before Starting
✓ Align numbers by place value
✓ Check for borrowing needs
✓ Have scratch paper ready
✓ Neat handwriting
During Calculation
✓ Work from right to left
✓ Borrow when needed
✓ Adjust place values
✓ Keep track of changes
After Completion
✓ Verify with addition
✓ Check for reasonableness
✓ Look for calculation errors
✓ Celebrate success!

Questions & Answers

Question: I don't understand when I need to borrow. Can you explain it more clearly?

Answer: Borrowing is needed when the top number in a column is smaller than the bottom number. Think of it like this:

  • You have $3 but need to pay $7 → you can't do it!
  • You need to "borrow" money from someone else (the tens place)
  • So if you have $53 (5 tens and 3 ones) and need to subtract $27:
  • You can't take 7 from 3 ones, so you borrow 1 ten (which is worth 10 ones)
  • Now you have 13 ones and can subtract 7 from 13

In 53 - 27:
Before borrowing: 5 tens and 3 ones
After borrowing: 4 tens and 13 ones
Then: 13 - 7 = 6, and 4 - 2 = 2
So 53 - 27 = 26

Question: How can I help my child practice double digit subtraction at home?

Answer: Here are effective ways to practice double digit subtraction:

  • Use manipulatives: Base-10 blocks, coins, or counters to visualize the process
  • Practice with real examples: "You have 47 candies and eat 23, how many are left?"
  • Play games: Create subtraction flashcards or online math games
  • Start simple: Begin with no borrowing, then introduce borrowing gradually
  • Verify answers: Always check by adding the result back to the subtracted number
  • Regular practice: 10-15 minutes daily is better than long sessions

Make it fun and positive! Celebrate progress and don't rush - understanding is more important than speed.

Question: I sometimes forget to adjust the tens place after borrowing. How can I remember?

Answer: This is a very common mistake! Here are some memory tricks:

  • Circle the number: Circle or highlight the tens digit before borrowing so you remember to change it
  • Say it out loud: "I'm borrowing 1 from the 5, so the 5 becomes 4"
  • Write it down: After borrowing, write the new number immediately
  • Count method: Count backward: "5 becomes 4" as you borrow
  • Visual marking: Cross out the old number and write the new one clearly

Example: In 63 - 27, when you borrow from the 6, cross out the 6 and write 5 above it. This way you won't forget!

Practice with a pencil so you can easily erase and rewrite if needed.

Question: What are the most important concepts students should master before moving to triple digit subtraction?

Answer: For triple digit subtraction, students must master these double digit concepts:

  • Place value understanding: Know that 345 means 3 hundreds, 4 tens, 5 ones
  • Borrowing skills: Be comfortable with borrowing from tens to ones
  • Regrouping fluency: Understand that 1 ten = 10 ones
  • Verification ability: Check answers by adding result to subtracted number
  • Neat work habits: Properly align numbers and track changes
  • Problem-solving confidence: Approach problems systematically

Students should be able to solve double digit subtraction problems accurately and efficiently before advancing. Rushing to triple digit subtraction without mastering these fundamentals will lead to confusion and errors.

Consider giving students a few mixed problems to ensure they can apply the same techniques to larger numbers.