Solve Vertical Subtraction: 367 minus 5 Step-by-Step

Vertical Subtraction with Single Digit Minuend

367    5776 \begin{aligned} &367 \\ -& \\ &~~~~5 \\ &\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 calculate subtraction of 2 digits, and then substitute
00:06 Let's start by subtracting ones from ones, and substitute in ones
00:09 Put 0 in the missing digits
00:12 Subtract tens from tens, and substitute in tens
00:15 Subtract hundreds from hundreds, and substitute in hundreds
00:18 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

367    5776 \begin{aligned} &367 \\ -& \\ &~~~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we will subtract using the vertical subtraction method:

  • Step 1: Write the numbers vertically aligned by the right, with the larger number on top:
    36735 \begin{array}{c} 367 \\ - \phantom{3}5 \\ \hline \end{array}
  • Step 2: Subtract the rightmost column. Here, we have 75=27 - 5 = 2.
    Write 22 below the line.
  • Step 3: Move to the next column on the left. The next column is 66, and since there is nothing to subtract in this position, bring down the 66.
  • Step 4: Move to the leftmost column. The leftmost column is 33, and similarly, bring down the 33 since there is nothing to subtract in this column.

After following these steps, we find the result of the subtraction:

3675=362367 - 5 = 362

Therefore, the solution to the problem is 362362.

3

Final Answer

362

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Place numbers right-aligned with minuend on top
  • Technique: Subtract rightmost column first: 75=27 - 5 = 2
  • Check: Verify by adding: 362+5=367362 + 5 = 367

Common Mistakes

Avoid these frequent errors
  • Misaligning the subtrahend under wrong place values
    Don't place 5 under the tens or hundreds column = wrong answer like 317 or 262! This happens when students don't align numbers by their rightmost digits. Always line up numbers from the right side, matching ones with ones, tens with tens.

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 align numbers from the right side?

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Aligning from the right ensures that place values match correctly - ones with ones, tens with tens. This prevents mistakes like subtracting from the wrong column!

What do I do when there's nothing to subtract in a column?

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When there's no digit to subtract (like the tens and hundreds columns here), simply bring down the digit from the minuend. It's like subtracting zero!

How can I check if my subtraction is correct?

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Use addition to check! Add your answer to the subtrahend: 362+5362 + 5. If you get the original minuend (367), your answer is correct.

Can I subtract from left to right instead?

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Always work from right to left in vertical subtraction! This follows place value order and prepares you for borrowing in more complex problems.

What if the problem was written horizontally like 367 - 5?

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You can solve it the same way! Just rewrite it vertically with proper alignment, then follow the same steps. The answer will be identical.

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