Solve Vertical Subtraction: 35 minus 7 Step-by-Step

Q: What does regrouping mean in subtraction?

Regrouping means borrowing from the next place value column when you can't subtract. For example, when subtracting 7 from 5, we borrow 1 ten from 30, making it 20, and add 10 to the 5, making it 15.

Q: Why can't I just subtract 5 - 7 = 2?

You can't subtract a larger number from a smaller one in standard arithmetic! When 5 regroup first. Think of it as getting help from the tens place to make the subtraction possible.

Q: How do I know when to regroup?

Look at each column from right to left. If the top digit is smaller than the bottom digit, you need to regroup. In 35 - 7, since 5

Q: What happens to the tens place after regrouping?

After borrowing 1 ten, the tens place decreases by 1. So 35 becomes 25 in the tens place, while the ones place becomes 15. Then you can subtract: 15 - 7 = 8 and 2 - 0 = 2.

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

Use addition to check subtraction! Add your answer to the number you subtracted: $ 28 + 7 = 35 $. If you get the original number, your subtraction is correct!

Vertical Subtraction with Regrouping

$\begin{aligned} &35 \\ -& \\ &~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve a math problem together.

00:07 First, we'll look at subtracting two-digit numbers.

00:10 Notice that 5 is less than 7, which is important.

00:14 So, we need to borrow 1 from the tens, adding 10 to the ones.

00:20 Now, 5 becomes 15, making it easier to subtract.

00:29 Subtract 7 from 15, and put the result in the ones place.

00:34 If any digits are missing, fill them with zero.

00:38 Next, subtract the tens from the tens.

00:42 Place this result in the tens place.

00:45 And that's how we solve this subtraction problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &35 \\ -& \\ &~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Write the numbers vertically with 35 on top and 7 underneath. Align them by their rightmost digits.
Step 2: Start subtracting the rightmost digit (units place). Subtract 7 from 5.
Step 3: Since 5 is smaller than 7, we need to regroup. We take 1 ten from the tens place, turning 35 into 25 and 15.
Step 4: Subtract 7 from 15 in the units place, which gives us 8.
Step 5: Move to the tens place. After regrouping, 25 has a digit of 2 in the tens place. Subtract 0 from 2, which remains 2.

The result of the subtraction is $28$ .

Therefore, the correct answer is 28.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Place Value: Align digits by place value, rightmost first
Regrouping: When 5 < 7, borrow 1 ten: 15 - 7 = 8
Check: Add your answer to the subtracted number: 28 + 7 = 35 ✓

Common Mistakes

Avoid these frequent errors

Subtracting the smaller digit from the larger digit
Don't subtract 5 - 7 = 2 when you can't! This ignores place value and gives 22 instead of 28. When the top digit is smaller, you must regroup by borrowing 1 ten from the next column. Always regroup when the top digit is smaller than the bottom digit.

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

What does regrouping mean in subtraction?

Regrouping means borrowing from the next place value column when you can't subtract. For example, when subtracting 7 from 5, we borrow 1 ten from 30, making it 20, and add 10 to the 5, making it 15.

Why can't I just subtract 5 - 7 = 2?

You can't subtract a larger number from a smaller one in standard arithmetic! When 5 < 7, you need to regroup first. Think of it as getting help from the tens place to make the subtraction possible.

How do I know when to regroup?

Look at each column from right to left. If the top digit is smaller than the bottom digit, you need to regroup. In 35 - 7, since 5 < 7 in the ones place, regrouping is necessary.

What happens to the tens place after regrouping?

After borrowing 1 ten, the tens place decreases by 1. So 35 becomes 25 in the tens place, while the ones place becomes 15. Then you can subtract: 15 - 7 = 8 and 2 - 0 = 2.

How can I check if my subtraction is correct?

Use addition to check subtraction! Add your answer to the number you subtracted: $28 + 7 = 35$ . If you get the original number, your subtraction is correct!

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