Solve Vertical Subtraction: 67 minus 54 Step-by-Step

Q: What if the top digit is smaller than the bottom digit?

When the top digit is smaller, you need to borrow from the next column to the left. This problem doesn't require borrowing since 7 > 4 and 6 > 5.

Q: Why do we start with the ones place first?

Starting from the ones place (rightmost column) follows the natural order of our number system and prepares you for problems that require borrowing from left to right.

Q: How can I check if my subtraction is correct?

Use addition to check subtraction! Add your answer to the number you subtracted: $ 13 + 54 = 67 $. If you get the original number, you're right!

Q: What does the line under the problem mean?

The horizontal line separates the problem from the answer area. Write your final answer below this line, keeping digits aligned in their proper columns.

Q: Do I need to show my work for each step?

Ones place: 7 - 4 = 3Tens place: 6 - 5 = 1Final answer: 13This shows clear thinking and helps catch mistakes!

Vertical Subtraction with Two-Digit Numbers

$\begin{aligned} &67 \\ -& \\ &54 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time we calculate subtraction of 2 digits, and then we substitute

00:06 We'll start by subtracting ones from ones, and place in ones position

00:10 We subtract tens from tens, and place in tens position

00:13 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &67 \\ -& \\ &54 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this subtraction problem using vertical subtraction, follow these steps:

Step 1: Set the numbers in vertical form as follows:
$\begin{aligned} \phantom{1} &67 \\ -& \phantom{} \\ &54 \\ \end{aligned}$
Step 2: Begin with the ones place. Subtract the digit in the subtrahend (4) from the digit in the minuend (7):
$7 - 4 = 3$ .
Write 3 below the line in the ones place.
Step 3: Move to the tens place. Subtract the digit in the subtrahend (5) from the digit in the minuend (6):
$6 - 5 = 1$ .
Write 1 below the line in the tens place.
Step 4: Combine the results:
The overall result, combining tens and ones, is 13.

Therefore, the difference between 67 and 54 is $13$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Column Method: Align digits by place value, subtract ones first
Technique: Subtract bottom from top: 7 - 4 = 3, then 6 - 5 = 1
Check: Add your answer to subtrahend: 13 + 54 = 67 ✓

Common Mistakes

Avoid these frequent errors

Subtracting larger digit from smaller digit
Don't subtract 7 - 6 = 1 when 6 is on top = wrong place values! This ignores proper column alignment and creates incorrect results. Always subtract the bottom digit from the top digit in each column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What if the top digit is smaller than the bottom digit?

When the top digit is smaller, you need to borrow from the next column to the left. This problem doesn't require borrowing since 7 > 4 and 6 > 5.

Why do we start with the ones place first?

Starting from the ones place (rightmost column) follows the natural order of our number system and prepares you for problems that require borrowing from left to right.

How can I check if my subtraction is correct?

Use addition to check subtraction! Add your answer to the number you subtracted: $13 + 54 = 67$ . If you get the original number, you're right!

What does the line under the problem mean?

The horizontal line separates the problem from the answer area. Write your final answer below this line, keeping digits aligned in their proper columns.

Do I need to show my work for each step?

Ones place: 7 - 4 = 3
Tens place: 6 - 5 = 1
Final answer: 13

This shows clear thinking and helps catch mistakes!

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