Subtract 8 from 72: Vertical Format Arithmetic Problem

Subtraction with Regrouping from Tens

72  8776 \begin{aligned} &72 \\ -& \\ &~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem.
00:06 We'll focus on each pair of digits.
00:09 Notice that 2 is smaller than 8.
00:13 So, we need to borrow 10 from the tens place.
00:18 Now, instead of 2, we have 12.
00:22 Subtract the bottom 8 from 12, and place the result in the ones.
00:28 The answer goes in the ones place.
00:31 Place 0 as a placeholder.
00:34 Finally, subtract the tens digits and write the answer there.
00:39 And that's how we solve it.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

72  8776 \begin{aligned} &72 \\ -& \\ &~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this vertical subtraction problem, follow these steps:

Step 1: Set up the problem vertically.

Write 72 and 8 ensuring that the digits are aligned according to their place values:

72
- 8
72\underline{\phantom{72}}

Step 2: Start subtracting from the rightmost digit (ones place).

In the ones place, we have 2 (from 72) and 8 (from -8). Since 2 is less than 8, we need to regroup.

Step 3: Perform regrouping.

Take 1 ten from the tens place of 72, leaving 6 tens. Adding 10 ones to 2 makes it 12 in the ones place.

Rewritten, the problem now looks like this:

6 12
- 8
72\underline{\phantom{72}}

Step 4: Continue with subtraction in the ones place.

Subtract 8 from 12, which equals 4.

Step 5: Subtract in the tens place.

Now, move to the tens place. We have 6 tens (from the regrouped value) and since there is no tens digit to subtract, it remains 6.

Conclusion: Combine the results from each place value to find the final difference: 66 tens and 44 ones make 6464.

Therefore, the solution to the problem is 64 64 .

3

Final Answer

64

Key Points to Remember

Essential concepts to master this topic
  • Regrouping Rule: When ones digit is smaller, borrow 1 ten
  • Technique: Convert 72 to 6 tens and 12 ones: 12 - 8 = 4
  • Check: Add your answer to the subtracted number: 64 + 8 = 72 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting smaller from larger without regrouping
    Don't subtract 2 - 8 = 6 by flipping the numbers = wrong answer 66! This ignores place value rules and creates impossible results. Always regroup by borrowing 1 ten to make 12 ones before subtracting.

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 2 - 8 = 6?

+

Because 2 is smaller than 8, so you can't subtract without regrouping! You need to borrow from the tens place first, making it 12 - 8 = 4.

What does regrouping actually mean?

+

Regrouping means trading 1 ten for 10 ones. So 72 becomes 6 tens and 12 ones instead of 7 tens and 2 ones.

How do I know when to regroup?

+

You need to regroup whenever the top digit is smaller than the bottom digit in any place value. Look at each column from right to left!

What if I forget to change the tens place after borrowing?

+

That's a common mistake! When you borrow 1 ten, you must reduce the tens digit by 1. So 7 tens becomes 6 tens in this problem.

Is there an easier way to check my answer?

+

Yes! Use addition to check subtraction. Add your answer to what you subtracted: 64+8=72 64 + 8 = 72 . If you get the original number, you're correct!

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