Calculate the Difference: 819 minus 27 in Vertical Format

Subtraction with Borrowing from Hundreds Place

819  27776 \begin{aligned} &819 \\ -& \\ &~~27 \\ &\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 borrowing 2 digits, and then we'll place
00:06 Subtract ones from ones, and place in ones
00:09 1 is less than 2
00:13 Therefore we'll borrow 1 from hundreds and add this amount to tens
00:17 That means now instead of 1 we'll have 11
00:22 Subtract tens from tens plus the ten
00:28 Place in tens
00:31 Place 0 in the borrowed digits
00:34 Subtract hundreds from hundreds, and place in hundreds
00:37 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

819  27776 \begin{aligned} &819 \\ -& \\ &~~27 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the subtraction problem 81927819 - 27, we will check each digit from right to left, performing the necessary operations for subtraction:

  • Units place: Subtract 7 from 9. Since 9 is larger than 7, the result is 2.
  • Tens place: Subtract 2 from 1. Here, 1 is less than 2, so we need to borrow 1 from the hundreds place. This converts the tens place 1 into 11.
  • After borrowing, subtract 2 from 11, resulting in 9.
  • Hundreds place: Since we borrowed from 8, it becomes 7.

Finally, putting these values together gives us the result: 792792.

Therefore, the solution to the problem is 792792.

3

Final Answer

792

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When subtracting larger from smaller digit, borrow from left
  • Technique: Convert 1 in tens to 11, making 819 become 7(11)9
  • Check: Add result to subtrahend: 792 + 27 = 819 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't borrow 1 from hundreds place but leave it as 8 = wrong answer 892! When you borrow, the digit decreases by 1. Always reduce 8 to 7 after borrowing from hundreds place.

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 when 1 is smaller than 2?

+

In subtraction, you cannot subtract a larger number from a smaller one in the same place value. Borrowing lets you 'trade' 1 from the next column for 10 in the current column!

What happens to the 8 in hundreds place after borrowing?

+

The 8 becomes 7 because you borrowed 1 from it. Think of it like trading one 100billforten100 bill for ten 10 bills - you have one less hundred but ten more tens.

How do I remember which direction to borrow from?

+

Always borrow from the left! Move from the place value that's having trouble to the next larger place value on its left side.

Can I check my subtraction answer?

+

Yes! Add your answer to the number you subtracted. If you get the original number back, you're correct: 792+27=819792 + 27 = 819

What if there's a 0 in the place I need to borrow from?

+

Keep moving left until you find a non-zero digit! Borrow from there, then pass the borrowing through each 0 along the way.

Do I always write the borrowed amount as 11?

+

When borrowing in base-10, yes! You're adding 10 to the original digit. So 1 becomes 11, 3 becomes 13, and so on.

🌟 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