Solve Vertical Subtraction: 37 minus 25 Step-by-Step

Vertical Subtraction with Two-Digit Numbers

3725776 \begin{aligned} &37 \\ -& \\ &25 \\ &\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 substitute
00:07 Let's start by subtracting ones from ones, and substitute in ones
00:11 Subtract tens from tens, and substitute in tens
00:15 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

3725776 \begin{aligned} &37 \\ -& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

Let's solve the subtraction problem 372537 - 25 using vertical subtraction:

  • Step 1: Align the numbers vertically:

           37    25 \begin{array}{c} \ \ \ \ \ \ \ 37 \\ - \ \ \ \ 25 \\ \hline \end{array}

  • Step 2: Start with the rightmost column (units place):

    75=27 - 5 = 2

    Write 22 under the line in the units place.

  • Step 3: Move to the left column (tens place):

    32=13 - 2 = 1

    Write 11 under the line in the tens place. This gives us 1212 as the result.

Therefore, the solution to the problem is 1212.

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically with digits in matching place values
  • Technique: Subtract ones column first: 7 - 5 = 2
  • Check: Add result to subtrahend: 12 + 25 = 37 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting in wrong order within columns
    Don't subtract the top digit from bottom digit like 5 - 7 = wrong answer! This creates negative results or confusion. Always subtract the bottom digit from the top digit in each column.

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

What if the bottom digit is bigger than the top digit?

+

When the bottom digit is larger, you need to borrow from the next column to the left. This is called regrouping, but it's not needed in this problem since 7 > 5 and 3 > 2.

Which column should I start with?

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Always start with the rightmost column (ones place) and work your way left. This is important because you might need to borrow from left columns later.

How can I check if my answer is correct?

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Use addition to check subtraction! Add your answer to the number you subtracted: 12+25=37 12 + 25 = 37 . If you get the original number, you're right!

Do I need to line up the numbers perfectly?

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Yes! Proper alignment is crucial. The ones digits must be under ones digits, and tens digits under tens digits. Misalignment leads to wrong answers.

What does the line under the problem mean?

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The horizontal line separates the problem from the answer. Write your final answer below this line, making sure each digit is in the correct column.

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