Column Subtraction: Solve 945 minus 67 Step-by-Step

Q: What happens to the digit I borrow from?

It gets reduced by 1! When you borrow 1 from the tens place (4), it becomes 3. The borrowed amount becomes 10 in the units place, making 5 become 15.

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

Use addition to check! Add your answer (878) to the number you subtracted (67). If you get the original number (945), your answer is right!

Q: What if I need to borrow from zero?

You'll need to borrow from the next column first! For example, if borrowing from 0 in tens place, first borrow from hundreds to make it 10, then continue your borrowing.

Q: Do I always start subtracting from the right?

Yes, always start from the units place! Work from right to left (units → tens → hundreds). This ensures you handle any borrowing correctly.

Column Subtraction with Borrowing

$\begin{aligned} &945 \\ -& \\ &~~67 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 we consider a shortage of 2 digits, and then we'll place

00:06 5 is less than 7

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

00:12 So now instead of 5 we will have 15

00:17 Subtract the ones from the ones plus ten

00:22 Place in the ones

00:26 3 is less than 6

00:31 Therefore we subtract 1 from the hundreds and add this amount to the tens

00:37 So now instead of 3 we will have 13

00:42 Subtract the tens from the tens plus ten

00:46 Place in the tens

00:50 Place 0 in the missing digits

00:54 Subtract hundreds from hundreds, and place in hundreds

00:57 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

$\begin{aligned} &945 \\ -& \\ &~~67 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem using vertical subtraction, follow these steps:

Step 1: Align the Numbers
Write the numbers with their digits aligned by place value:
$\begin{array}{c} 945 \\ - 67 \\ \underline{\phantom{776}} \end{array}$
Step 2: Subtract the Units Place
In the units place, we have $5 - 7$ . Since 5 is smaller than 7, we need to borrow from the tens place.
Borrowing from the tens, the 4 becomes 3, and the 5 becomes 15.
So, $15 - 7 = 8$ .
Step 3: Subtract the Tens Place
Now, subtract the tens place: $3 - 6$ . Since 3 is smaller than 6, borrow from the hundreds place.
The 9 becomes 8, and the 3 becomes 13 after borrowing.
So, $13 - 6 = 7$ .
Step 4: Subtract the Hundreds Place
Finally, subtract the hundreds place: $8 - 0 = 8$ , as there is no number in the hundreds place of 67.

Therefore, after performing the subtraction, we find that the result is $878$ .

Final Answer

878

Key Points to Remember

Essential concepts to master this topic

Alignment: Write digits in correct place value columns
Borrowing: When 5 - 7, borrow from tens: 15 - 7 = 8
Check: Add your answer to subtrahend: 878 + 67 = 945 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed-from digit
Don't borrow 1 from the tens place but leave 4 unchanged = wrong calculation! When you borrow, the digit you borrow from must decrease by 1. Always reduce 4 to 3 after borrowing from tens place.

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 the top digit is smaller?

You can't subtract a larger number from a smaller one and get a positive result! Borrowing lets you 'trade' 1 from the next column for 10 in the current column.

What happens to the digit I borrow from?

It gets reduced by 1! When you borrow 1 from the tens place (4), it becomes 3. The borrowed amount becomes 10 in the units place, making 5 become 15.

How do I check if my subtraction is correct?

Use addition to check! Add your answer (878) to the number you subtracted (67). If you get the original number (945), your answer is right!

What if I need to borrow from zero?

You'll need to borrow from the next column first! For example, if borrowing from 0 in tens place, first borrow from hundreds to make it 10, then continue your borrowing.

Do I always start subtracting from the right?

Yes, always start from the units place! Work from right to left (units → tens → hundreds). This ensures you handle any borrowing correctly.

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