Solve Vertical Subtraction: 85 minus 81 Step-by-Step

Vertical Subtraction with Two-Digit Numbers

8581776 \begin{aligned} &85 \\ -& \\ &81 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem together.
00:06 We will subtract two digits. Then we'll replace them.
00:11 First, subtract the ones place. Put your answer in the ones column.
00:15 Next, subtract the tens place. And place your answer in the tens column.
00:21 Great job! And that's how you solve the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8581776 \begin{aligned} &85 \\ -& \\ &81 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Align the numbers for vertical subtraction.

  • Step 2: Subtract the digits in the units column.

  • Step 3: Subtract the digits in the tens column if necessary.

Now, let's work through each step:
Step 1: We'll arrange the numbers as follows:
8581   ? \begin{array}{c} {85} \\ {-81} ~~\ \\ \hline ? \\ \end{array} Step 2: Start by subtracting the digits in the units column: 51=45 - 1 = 4.

Step 3: Move to the tens column: 88=08 - 8 = 0.

The result is 04, which simplifies to just 4.

Therefore, the difference when we subtract 81 from 85 is 4\boxed{4}.

3

Final Answer

4

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically with same place values aligned
  • Technique: Subtract column by column: units first (5-1=4), tens next (8-8=0)
  • Check: Add your answer to the subtracted number: 4+81=85 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place values when stacking numbers
    Don't randomly place digits without considering place value = wrong alignment leads to incorrect calculations! When numbers aren't properly aligned by place value, you subtract wrong digits. Always stack numbers so units align under units, tens under tens.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do I need to line up the numbers vertically?

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Lining up numbers vertically ensures you subtract corresponding place values! Units subtract from units, tens from tens. Without proper alignment, you'll subtract the wrong digits and get incorrect answers.

What if I get zero in the tens place?

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When subtraction gives you zero in the tens place (like 8-8=0), you can drop the leading zero. So 04 becomes simply 4 - this is perfectly correct!

Do I always start with the rightmost column?

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Yes! Always start with the units column (rightmost) and work left. This follows the same pattern as addition and helps avoid confusion with borrowing in harder problems.

How can I check if my subtraction is correct?

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Use addition to check subtraction! Add your answer to the number you subtracted: 4+81=85 4 + 81 = 85 . If you get the original number, your answer is right!

What's the difference between 85-81 and 81-85?

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The order matters in subtraction! 85-81=4 (positive), but 81-85=-4 (negative). Always subtract the smaller number from the larger one unless you're working with negative numbers.

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