Solve Vertical Subtraction: 677 minus 22

Multi-digit Subtraction with No Borrowing

677  22776 \begin{aligned} &677 \\ -& \\ &~~22 \\ &\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 calculate subtraction of 2 digits, and then we place
00:06 We'll start by subtracting ones from ones, and place in ones
00:09 We subtract tens from tens, and place in tens
00:12 Place 0 in the missing digits
00:16 We subtract hundreds from hundreds, and place in hundreds
00:20 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

677  22776 \begin{aligned} &677 \\ -& \\ &~~22 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Write the numbers in vertical format, aligning by place values. The minuend is 677677 and the subtrahend is 2222.

  • Step 2: Start subtracting from the rightmost column (units). Subtract 22 from 77, which results in 55.

  • Step 3: Move to the tens column. Subtract 22 from 77, which leaves 55.

  • Step 4: In the hundreds column, there's nothing to subtract from 66, so we retain 66.

The subtraction looks like this:

677 227760655 \begin{aligned} 677& \\ -~ 22& \\ \underline{\phantom{7760}} \\ 655& \\ \end{aligned}

Thus, the solution to the problem is 655655.

3

Final Answer

655

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up place values vertically before subtracting digits
  • Technique: Start from ones column: 72=57 - 2 = 5, then tens
  • Check: Add your answer back: 655+22=677655 + 22 = 677

Common Mistakes

Avoid these frequent errors
  • Misaligning place values when writing numbers vertically
    Don't line up numbers by their left edges like 677 above 22 = wrong alignment! This puts tens under hundreds and ones under tens, giving completely wrong answers. Always align place values: ones under ones, tens under 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 start subtracting from the right side?

+

We start from the ones place (rightmost column) because that's how place value works! Just like when you count, ones come before tens, which come before hundreds.

What if the bottom number has fewer digits?

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That's normal! When subtracting 22 from 677, treat the missing hundreds digit as zero. So you're really subtracting 022 from 677.

Do I need to borrow in this problem?

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No borrowing needed here! Since 7 > 2 in both the ones and tens columns, we can subtract directly. Borrowing is only needed when the top digit is smaller than the bottom digit.

How can I check if my answer is right?

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Use addition to check subtraction! Add your answer to the number you subtracted: 655+22655 + 22. If you get the original number (677), you're correct!

What does the line under the problem mean?

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The horizontal line means "equals" - it separates the problem from the answer. Everything above the line is what you're calculating, and below is your final result.

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