Solve Subtraction: 956 minus 74 in Vertical Format

Vertical Subtraction with Regrouping

956  74776 \begin{aligned} &956 \\ -& \\ &~~74 \\ &\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 shortage of 2 digits, and then we'll place
00:06 Subtract ones from ones, and place in ones
00:09 5 is less than 7
00:15 Therefore we subtract 1 from hundreds and add this amount to tens
00:20 So now instead of 5 we will have 15
00:24 Subtract the tens from tens plus the ten
00:32 Place in tens
00:35 Place 0 in the missing digits
00:38 Subtract hundreds from hundreds, and place in hundreds
00:43 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

956  74776 \begin{aligned} &956 \\ -& \\ &~~74 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this mathematical problem, we will subtract 74 from 956 using vertical subtraction with regrouping when necessary.

Let's perform the subtraction step-by-step:

  • Step 1: Write the numbers one below the other, aligning them by their place values:

956074776 \begin{aligned} & 956 \\ -& \phantom{0}74 \\ & \underline{\phantom{776}} \end{aligned}

  • Step 2: Start by subtracting the units column: - We have 6 (from 956) minus 4 (from 74), which gives us 2. Place 2 in the units column of the result.

  • Step 3: Move to the tens column: - We have 5 (from 956) minus 7 (from 74). Since 5 is smaller than 7, we need to regroup (borrow) 1 ten from the hundreds column: - This changes the 5 in the tens column to 15 and the 9 in the hundreds column to 8. - Now, subtract 7 from 15, which gives us 8. Place 8 in the tens column of the result.

  • Step 4: Finally, move to the hundreds column: - We have 8 (after regrouping) minus 0 (since there is no hundreds digit in 74), which gives us 8. Place 8 in the hundreds column of the result.

Now, the result is written as:

956074882 \begin{aligned} &956 \\ -&\phantom{0}74 \\ & \overline{882} \end{aligned}

Therefore, the solution to the problem is 882.

3

Final Answer

882

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Place numbers in columns by place value (ones, tens, hundreds)
  • Regrouping: When 5 < 7 in tens column, borrow from hundreds: 15 - 7 = 8
  • Check: Add your answer to the smaller number: 882 + 74 = 956 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to adjust the borrowed-from digit
    Don't subtract 7 from 5 in the tens column without borrowing = negative result! Students often borrow 1 from hundreds but forget to reduce 9 to 8. Always reduce the hundreds digit when you borrow from it.

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 subtracting 7 from 5?

+

You can't subtract a larger number from a smaller number in regular arithmetic! Borrowing 1 ten from the hundreds column turns the 5 into 15, making subtraction possible: 15 - 7 = 8.

What happens to the 9 when I borrow from it?

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When you borrow 1 ten from the hundreds place, the 9 becomes 8. Think of it as trading one hundred for ten tens - you lose 1 from hundreds but gain 10 in the tens place.

How can I check if 882 is the right answer?

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Use addition to check subtraction! Add your answer to the number you subtracted: 882+74=956 882 + 74 = 956 . If you get the original number, you're correct!

Do I always start subtracting from the right?

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Yes, always start from the ones column (rightmost) and work left! This follows the same pattern as addition and helps you handle borrowing correctly.

What if there's no digit in a column like the hundreds place of 74?

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Treat missing digits as zero! So 74 is really 074, meaning 0 hundreds, 7 tens, and 4 ones. This makes column subtraction clearer.

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

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No! The order matters in subtraction. 9567474956 956 - 74 \neq 74 - 956 . Always subtract the second number from the first number as written in the problem.

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