Solve the Subtraction Problem: 86-34 Step by Step

Column Subtraction with Two-Digit Numbers

8634= 86-34=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8634= 86-34=

2

Step-by-step solution

To solve the problem of finding 8634 86 - 34 , we can follow these steps:

  • Align the numbers by place value:
    • 86 (|Tens|Ones|)
    • - 34 (|Tens|Ones|)
  • Step 1: Subtract the ones place. 64=26 - 4 = 2.
  • Step 2: Subtract the tens place. 83=58 - 3 = 5.

Putting the results together, the difference is 52\mathbf{52}.

Therefore, the correct answer to the subtraction 8634 86 - 34 is 52 52 .

3

Final Answer

52 52

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Always align numbers by tens and ones columns
  • Order: Start subtracting from ones place, then tens place (6-4=2, 8-3=5)
  • Check: Add your answer to the subtrahend: 52+34=86 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting larger digit from smaller digit regardless of position
    Don't subtract 4 from 6 to get 2, then 8 from 3 to get 5 = wrong answer 25! This ignores place value position. Always subtract the bottom digit from the top digit in each column, borrowing when needed.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

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

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You need to borrow from the next column! For example, if you had 62-38, you'd borrow 1 ten from the tens place to make 12-8=4 in the ones place.

Do I always start from the right side?

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Yes! Always start subtracting from the ones place (rightmost column) and work your way left to the tens, hundreds, etc.

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: 52+34=86 52 + 34 = 86 . If you get the original number, you're right!

What does it mean to align by place value?

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  • Ones column: 6 above 4
  • Tens column: 8 above 3
  • This keeps similar place values together for proper subtraction

Why is my answer different when I subtract left to right?

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Subtracting left to right doesn't account for borrowing properly! The standard algorithm works right to left because borrowing affects the column to the left.

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