Subtract 135 from 248: Vertical Format Arithmetic Problem

Vertical Subtraction with Three-Digit Numbers

248135776 \begin{aligned} &248 \\ -& \\ &135 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve the problem together.
00:07 First, we subtract the ones place, and put the result here.
00:11 Next, subtract the tens place, and place that answer in the tens.
00:16 Now, subtract the hundreds place, and write it in the hundreds.
00:21 That's how we find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

248135776 \begin{aligned} &248 \\ -& \\ &135 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, we will use the vertical subtraction method as follows:

Step 1: Align the numbers vertically.
We write 248 over 135, ensuring that corresponding digits are aligned correctly, particularly the units, tens, and hundreds places.

\begin{array}{c} 248 \\ - 135 \\ \hline \end{array}

Step 2: Subtract column by column from right to left.

  • Units column: 85=38 - 5 = 3. Write 3 under the units column.

  • Tens column: 43=14 - 3 = 1. Write 1 under the tens column.

  • Hundreds column: 21=12 - 1 = 1. Write 1 under the hundreds column.

The subtraction does not require any borrowing as each digit in the minuend is greater than or equal to the corresponding digit in the subtrahend.

Step 3: Combine the results.
From left to right, the result is 113.

Therefore, the solution to the subtraction problem is 113113, which corresponds to choice 4.

3

Final Answer

113

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack digits by place value (units, tens, hundreds columns)
  • Technique: Subtract column by column from right to left: 8-5=3, 4-3=1, 2-1=1
  • Check: Add your answer to the subtrahend: 113 + 135 = 248 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning digits in columns
    Don't write numbers without proper column alignment = wrong calculations! When digits aren't lined up by place value, you subtract wrong numbers and get incorrect results. Always align units under units, tens under tens, and hundreds under hundreds.

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 top digit is smaller than the bottom digit?

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You'll need to borrow from the next column! For example, if you have 3-5, borrow 1 from the tens place to make it 13-5=8. Don't forget to reduce the tens digit by 1.

Why do we start from the right side?

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We start with the units column because if we need to borrow, it affects the columns to the left. Working right to left ensures we handle any borrowing correctly.

How can I check if my subtraction is correct?

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Use addition to check! Add your answer to the number you subtracted. If you get the original top number, your subtraction is correct: 113 + 135 = 248 ✓

What does it mean when digits are already lined up?

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The problem is set up in vertical format for you! This means the place values are already aligned correctly - units under units, tens under tens, hundreds under hundreds.

Do I always need to borrow in subtraction?

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No! You only borrow when the top digit is smaller than the bottom digit in a column. In this problem (248-135), no borrowing was needed since 8≥5, 4≥3, and 2≥1.

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