Vertical Format Mathematics: Subtracting 8 from 76

Q: Why can't I just subtract 8 from 6 in the ones place?

You can't subtract a larger number from a smaller number in subtraction! When 6 is smaller than 8, you need to borrow from the tens place to make it bigger.

Q: What does borrowing actually mean?

Borrowing means taking 1 ten (which equals 10 ones) from the tens place and adding it to the ones place. So 6 becomes 16, and 7 becomes 6.

Q: How do I remember to change both digits when borrowing?

Think of it as moving value: when you take 1 from tens, you must subtract 1 from tens digit and add 10 to ones digit. Both digits change!

Q: Can I check my answer another way?

Yes! Use addition to check subtraction. If 76 - 8 = 68, then 68 + 8 should equal 76. This confirms your answer is correct!

Subtraction with Borrowing from Tens

$\begin{aligned} &76 \\ -& \\ &~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 consider a subtraction of 2 digits, and then place

00:06 8 is less than 9

00:09 Therefore subtract 1 from tens, and add this amount to ones

00:14 Meaning now instead of 8 we will have 18

00:18 Subtract the ones from ones plus the ten

00:21 Place in ones position

00:24 Place 0 in the missing digits

00:27 Subtract tens from tens, and place in tens position

00:30 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

$\begin{aligned} &76 \\ -& \\ &~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

Let's solve the subtraction problem:

When subtracting two numbers vertically, begin with the rightmost column, which involves the ones.
Step 1: Subtract the ones place digits: 6 - 8. Since 6 is less than 8, we cannot subtract directly. Therefore, we need to borrow 1 ten (equivalent to 10 ones) from the tens place.
Step 2: After borrowing, the tens digit of 76 (7) reduces by 1, becoming 6, and the ones digit gets 10 more, making it 16.
Step 3: Now, subtract the ones place: 16 - 8 = 8.
Step 4: Then, subtract the tens place: 6 - 0 = 6. Recall that we subtracted 1 ten earlier.
Combine the two results for the final answer: 68.

Therefore, the solution to the subtraction problem is $76 - 8 = 68$ .

The correct choice from the given options is 68.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Borrowing Rule: When ones digit is smaller, borrow from tens place
Technique: Convert 6 to 16 by borrowing: 16 - 8 = 8
Check: Verify by addition: 68 + 8 = 76 matches original ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the tens digit after borrowing
Don't subtract 7 - 0 = 7 in tens place after borrowing = wrong answer 78! When you borrow 1 ten, the tens digit decreases by 1. Always reduce 7 to 6, then calculate 6 - 0 = 6.

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

Why can't I just subtract 8 from 6 in the ones place?

You can't subtract a larger number from a smaller number in subtraction! When 6 is smaller than 8, you need to borrow from the tens place to make it bigger.

What does borrowing actually mean?

Borrowing means taking 1 ten (which equals 10 ones) from the tens place and adding it to the ones place. So 6 becomes 16, and 7 becomes 6.

How do I remember to change both digits when borrowing?

Think of it as moving value: when you take 1 from tens, you must subtract 1 from tens digit and add 10 to ones digit. Both digits change!

What if the problem was 76 - 18 instead?

Same borrowing process! After borrowing: 16 - 8 = 8 in ones place, then 6 - 1 = 5 in tens place. Answer would be 58.

Can I check my answer another way?

Yes! Use addition to check subtraction. If 76 - 8 = 68, then 68 + 8 should equal 76. This confirms your answer is correct!

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