Solve Vertical Subtraction: 481 minus 83 Step-by-Step

Vertical Subtraction with Multiple Regrouping Steps

481  83776 \begin{aligned} &481 \\ -& \\ &~~83 \\ &\underline{\phantom{776}} & \\ \end{aligned}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then we'll place
00:06 1 is less than 3
00:11 Therefore we'll subtract 1 from the tens, and add this amount to the ones
00:15 In other words, now instead of 1 we'll have 11
00:19 We'll subtract the ones from the ones plus ten
00:22 We'll place in the ones
00:28 7 is less than 8
00:31 Therefore we'll subtract 1 from the hundreds, and add this amount to the tens
00:36 In other words, now instead of 7 we'll have 17
00:42 We'll subtract the tens from the tens plus ten
00:46 We'll place in the tens
00:49 We'll place 0 in the missing digits
00:52 Subtract hundreds from hundreds, and place in hundreds
00:55 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

481  83776 \begin{aligned} &481 \\ -& \\ &~~83 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll perform vertical subtraction with regrouping of the numbers 481 and 83.

Follow these steps:

  • Step 1: Write the numbers vertically, aligning the digits by place value:

481  83   77633 \begin{array}{c} 481 \\ - ~~83~~~ \\ \underline{\phantom{77633}} \end{array}

  • Step 2: Begin with the units column (rightmost column). The digit in the minuend (1) is less than the digit in the subtrahend (3). Therefore, we need to regroup.

    • Regrouping involves borrowing 1 from the tens column of the minuend, changing 8 in 481 to 7 and increasing the units digit by 10, changing 1 to 11.

  • Step 3: Subtract the units column: 113=811 - 3 = 8.

  • Step 4: Move to the tens column. Since we borrowed 1, the tens digit in 481 is now 7. Subtract 8 from 7, borrowing again from the hundreds digit:

    • Regroup by borrowing 1 from the hundreds column, changing 4 to 3 and increasing the tens digit by 10, changing 7 to 17.

  • Step 5: Subtract the tens column: 178=917 - 8 = 9.

  • Step 6: The hundreds column remains to be calculated: 30=33 - 0 = 3 (since there’s nothing to subtract except the result of our previous borrow).

This process results in:

481  83   776444398 \begin{array}{c} 481 \\ - ~~83~~~ \\ \underline{\phantom{776444}} \\ 398 \end{array}

Therefore, the solution to this problem is 398 398 , which corresponds to choice four.

3

Final Answer

398

Key Points to Remember

Essential concepts to master this topic
  • Rule: When minuend digit is smaller, borrow from the next column
  • Technique: Change 481 to 471 then 11-3=8 in ones place
  • Check: Add back: 398+83=481 to verify your subtraction ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce borrowed digit after regrouping
    Don't borrow 1 from the tens place but forget to change 8 to 7 = wrong calculation! This leaves too much value in the tens column. 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 do I need to borrow twice in this problem?

+

You need to borrow twice because both the ones and tens places have smaller digits on top. First borrow for 1-3 (can't subtract), then borrow again for 7-8 (can't subtract after first borrowing).

What does 'regrouping' actually mean?

+

Regrouping means taking 1 from a higher place value (like tens) and adding 10 to the lower place value (like ones). It's like trading a 10billforten10 bill for ten 1 bills!

How do I keep track of all the borrowing?

+

Write small numbers above the digits as you borrow. Cross out 8 and write 7, cross out 1 and write 11. This helps you see what you've changed.

What if I get confused about which direction to borrow?

+

Always borrow from left to right (higher to lower place values). You can't borrow from a smaller place value - that would be like trading 1billsfora1 bills for a 10 bill!

Is there an easier way than borrowing?

+
  • Mental math: Think 48180=401 481 - 80 = 401 , then 4013=398 401 - 3 = 398
  • But borrowing is the standard method you'll need for bigger numbers!

How can I check if 398 is correct without adding?

+

Use estimation: 48080=400 480 - 80 = 400 . Since 398 is close to 400, it makes sense! You can also check: does 398+83=481 398 + 83 = 481 ?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations