Solve Vertical Subtraction: 67 minus 9 Step-by-Step

Vertical Subtraction with Borrowing

67  9776 \begin{aligned} &67 \\ -& \\ &~~9 \\ &\underline{\phantom{776}} & \\ \end{aligned}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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 place
00:06 7 is less than 9
00:09 Therefore we subtract 1 from tens, and add this sum to ones
00:16 Meaning now instead of 7 we'll have 17
00:21 Subtract ones from ones plus ten
00:25 Place in ones
00:28 Place 0 in the missing digits
00:31 Subtract tens from tens, and place in tens
00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

67  9776 \begin{aligned} &67 \\ -& \\ &~~9 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, we'll use the following steps:

  • Step 1: Subtract the ones place.

  • Step 2: Employ borrowing if necessary.

  • Step 3: Subtract the tens place after borrowing.

Now, let's apply these steps:

Step 1: Subtract the ones place.
In the ones place, we have 797 - 9. Since 77 is smaller than 99, we need to borrow.

Step 2: Borrow from the tens place.
Borrow 11 from the tens place, turning the 6767 into 55 tens and 1717 in the ones place. Now, perform 179=817 - 9 = 8.

Step 3: Subtract the tens place after borrowing.
Now that we've borrowed, we have 55 in the tens place. Subtract 00 (there's nothing to subtract, effectively). So, the tens remain 55.

The final result after the subtraction is:
Therefore, the answer is 5858.

3

Final Answer

58

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When top digit is smaller, borrow 10 from next place
  • Technique: Transform 7 - 9 into 17 - 9 = 8
  • Check: Add your answer to subtrahend: 58 + 9 = 67 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the tens digit after borrowing
    Don't subtract in ones place after borrowing but keep original tens digit = wrong answer like 68! When you borrow 1 ten, the tens place decreases by 1. Always reduce the tens digit from 6 to 5 after borrowing.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why can't I just subtract 9 - 7 when 7 is smaller?

+

Great question! Subtraction order matters! We must subtract bottom from top, not the other way around. When the top digit is smaller, we need to borrow to make it bigger first.

How do I know when I need to borrow?

+

You need to borrow whenever the top digit is smaller than the bottom digit in any column. In this problem, 7 < 9, so we must borrow from the tens place.

What happens to the tens place when I borrow?

+

When you borrow 1 ten, it becomes 10 ones. So 67 becomes 5 tens and 17 ones. The tens place goes from 6 to 5, and the ones place goes from 7 to 17.

How can I check if my subtraction is correct?

+

Use addition to check! Add your answer to the number you subtracted: 58+9=67 58 + 9 = 67 . If you get the original number, you're right!

What if there's a 0 in the tens place and I need to borrow?

+

When borrowing from 0, you need to keep borrowing from the next place over until you find a non-zero digit. It's like a chain reaction of borrowing!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations