Subtract 83 minus 66: Vertical Format Solution

Subtraction with Borrowing Operations

8366776 \begin{aligned} &83 \\ -& \\ &66 \\ &\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 consider borrowing 2 digits, and then we place
00:06 3 is less than 6
00:09 So we subtract 1 from the tens and add this amount to the ones
00:15 That means instead of 3 we now have 13
00:18 We subtract the ones from the ones plus ten
00:22 We place in the ones
00:26 We subtract tens from tens, and place in tens
00:30 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8366776 \begin{aligned} &83 \\ -& \\ &66 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem step-by-step, we perform the following:

First, align the numbers for vertical subtraction:

8366 \begin{array}{r} 83 \\ -66 \\ \hline \end{array}

Step 1: Subtract the ones place:

The ones digit of 8383 (3) is smaller than the ones digit of 6666 (6). Therefore, we need to borrow.

  • Borrow 11 from the tens place of 8383, which becomes 77 leaving the original ones place of 13.
  • Subtract the ones digits: 136=713 - 6 = 7

Step 2: Subtract the tens place:

Now that we've borrowed, we are left with 77 in the tens place of the top number:

  • Subtract the tens digits: 76=17 - 6 = 1

Combine the results of the subtraction:

The final answer, after subtracting the two numbers, is 1717.

Therefore, the solution to the problem is 1717, which corresponds to choice 4.

3

Final Answer

17

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When top digit is smaller, borrow from left column
  • Technique: Change 83 to 7|13, then calculate 13 - 6 = 7
  • Check: Add your answer to subtracted number: 17 + 66 = 83 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't borrow 1 from the tens place but forget to change 8 to 7 = wrong final answer! This leaves you with too many tens and gives 27 instead of 17. Always reduce the digit you borrowed from by 1.

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

Why can't I just subtract 6 from 3 in the ones place?

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You can't subtract a larger number from a smaller number in subtraction! When 3 < 6, you need to borrow 1 from the tens place, making it 13 - 6 = 7.

What exactly happens when I borrow?

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Borrowing means taking 1 ten from the tens place and converting it to 10 ones. So 83 becomes 7 tens and 13 ones, which is still equal to 83!

How do I remember which digit to reduce when borrowing?

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Always reduce the digit you're borrowing FROM. If you borrow from the tens place, reduce the tens digit by 1. The borrowed digit gets 10 added to it.

What if I need to borrow from zero?

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When borrowing from 0, you need to borrow from the next column first. For example, in 304 - 158, borrow from hundreds to make tens 10, then borrow from tens to make ones 14.

How can I check if my subtraction is correct?

+

Use addition to check! Add your answer to the number you subtracted. If you get the original number, you're right: 17+66=83 17 + 66 = 83

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