Solve Vertical Subtraction: 376 minus 136

Vertical Subtraction with Three-Digit Numbers

376136776 \begin{aligned} &376 \\ -& \\ &136 \\ &\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
00:13 We subtract hundreds from hundreds, and place in hundreds
00:17 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

376136776 \begin{aligned} &376 \\ -& \\ &136 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll use the standard algorithm for subtraction performed in a vertical format. Here are the steps:

  • Step 1: Write the numbers in vertical form, aligning the digits by place value, with 376 above 136.
  • Step 2: Begin subtracting from the rightmost digit (units place).
    Units place: 66 from 66. Resulting digit is 00.
  • Step 3: Move to the tens place, subtract 33 from 77. Resulting digit is 44.
  • Step 4: Move to the hundreds place, subtract 11 from 33. Resulting digit is 22.

Therefore, the calculation looks like this:

376136240 \begin{array}{c} & 376 \\ - & 136 \\ \hline & 240 \\ \end{array}

As such, the solution to this subtraction problem is 240 240 .

3

Final Answer

240

Key Points to Remember

Essential concepts to master this topic
  • Place Value Alignment: Stack digits vertically by ones, tens, and hundreds columns
  • Right-to-Left Method: Start with ones place: 6 - 6 = 0, then work leftward
  • Verification Check: Add your answer to the subtrahend: 240 + 136 = 376 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place values when stacking numbers
    Don't write numbers randomly without aligning place values = wrong digits in wrong columns! This causes you to subtract hundreds from tens or ones from hundreds. Always align the rightmost digits first, then stack each place value column perfectly straight.

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 I need to borrow from the next column?

+

In this problem, no borrowing is needed because each digit in 376 is greater than or equal to the digit below it. When borrowing is needed, take 1 from the left column (making it 10 in the current column) before subtracting.

Why do we start from the right side?

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We start with the ones place (rightmost) because if we need to borrow, it affects the columns to the right. Working left-to-right would create confusion with borrowing!

How can I check if my subtraction is correct?

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Use addition to check! Add your answer (240) to the number you subtracted (136). If you get the original number (376), your subtraction is correct!

What does it mean when the top digit equals the bottom digit?

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When digits are the same, like 66 6 - 6 , the result is always 0. Don't forget to write the 0 in your answer - it holds the place value!

Do I always get a smaller number when subtracting?

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Yes, when subtracting positive numbers! The result (240) should always be smaller than what you started with (376). If it's bigger, check your work!

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