Solve Vertical Subtraction: 132 minus 35 Step-by-Step

Q: Why do I need to borrow when 2 is less than 5?

You can't subtract a larger number from a smaller one in the same place value! Borrowing lets you 'trade' 1 ten for 10 ones, making 2 become 12.

Q: What happens to the tens place after I borrow?

The tens digit decreases by 1 because you borrowed 1 ten. So 3 tens becomes 2 tens. Don't forget this step or your answer will be wrong!

Q: Do I always start subtracting from the right?

Always start from the rightmost column (ones place) and work left. This ensures borrowing works correctly through all place values.

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

Use addition to check: Add your answer to the number you subtracted. $ 97 + 35 = 132 $ ✓

Q: What if I need to borrow from multiple places?

Handle one column at a time from right to left. Each borrowing affects the next column, so work systematically through each place value.

Q: Can I subtract the smaller number from the larger instead?

No! The order matters in subtraction. $ 132 - 35 \neq 35 - 132 $. Always subtract the second number from the first as written.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider a shortage of 2 digits, and then we'll place

00:06 2 is less than 5

00:11 Therefore we subtract 1 from the tens and add this amount to the ones

00:21 So now instead of 2 we'll have 12

00:27 We subtract the ones from the ones plus ten

00:32 We place in the ones

00:38 2 is less than 3

00:46 Therefore we subtract 1 from the hundreds and add this amount to the tens

00:51 So now instead of 2 we'll have 12

00:58 We subtract the tens from the tens plus ten

01:01 We place in the tens

01:04 We place 0 in the missing digits

01:07 Subtract hundreds from hundreds, and place in hundreds

01:10 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

$\begin{aligned} &132 \\ -& \\ &~~35 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

2

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Align the numbers by their place values. The number 132 is written above 35, ensuring the units, tens, and hundreds columns are properly placed.
Step 2: Start from the rightmost column, which is the units column:

Subtract the units digit: $2 - 5$ requires borrowing since 2 is smaller than 5. Borrowing from the tens column converts 2 into 12.
After borrowing, subtract: $12 - 5 = 7$ .

Step 3: Move to the tens column:

After borrowing one "ten" to the units place, the tens column in the minuend is now $2 - 1 = 1$ (since the tens digit went from 3 to 2 after borrowing).
Subtract: $2 - 3 = -1$ , recognizing the necessity to borrow from the hundreds.
Borrow 1 hundred, adding it to the tens to make: $12 - 3 = 9$ .

Step 4: Finally, subtract the hundreds column:

With borrowing adjustment: $0 - 0$ remains unchanged because we lent one hundred to the tens place.
This happens because we effectively do $1 - 1 = 0$ after resolving borrowing in tens and units.

Therefore, after performing all borrowing and subtractions,

The solution to $132 - 35$ is $97$ .

3

Final Answer

97

Key Points to Remember

Essential concepts to master this topic

Place Value Alignment: Stack numbers with units, tens, hundreds properly aligned
Borrowing Technique: When 2 < 5, borrow 1 ten: $12 - 5 = 7$
Verification Check: Add your answer to subtrahend: 97 + 35 = 132 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed-from digit
Don't keep the original digit after borrowing = wrong calculation! When you borrow 1 ten from 3 tens, you must reduce it to 2 tens. Always decrease the borrowed-from digit by 1.

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 do I need to borrow when 2 is less than 5?

+

You can't subtract a larger number from a smaller one in the same place value! Borrowing lets you 'trade' 1 ten for 10 ones, making 2 become 12.

What happens to the tens place after I borrow?

+

The tens digit decreases by 1 because you borrowed 1 ten. So 3 tens becomes 2 tens. Don't forget this step or your answer will be wrong!

Do I always start subtracting from the right?

+

Always start from the rightmost column (ones place) and work left. This ensures borrowing works correctly through all place values.

How can I check if my subtraction is correct?

+

Use addition to check: Add your answer to the number you subtracted. $97 + 35 = 132$ ✓

What if I need to borrow from multiple places?

+

Handle one column at a time from right to left. Each borrowing affects the next column, so work systematically through each place value.

Can I subtract the smaller number from the larger instead?

+

No! The order matters in subtraction. $132 - 35 \neq 35 - 132$ . Always subtract the second number from the first as written.

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Solve Vertical Subtraction: 132 minus 35 Step-by-Step

Vertical Subtraction with Borrowing Steps

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