Solve: 4735 minus 816 Using Vertical Subtraction Method

Multi-Step Borrowing with Large Numbers

4735  816776 \begin{aligned} &4735 \\ -& \\ &~~816 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem, step by step.
00:09 We might need to borrow from two digits, so let's write it down.
00:14 Five is smaller than six.
00:20 We'll take one from the tens and add it to the ones.
00:24 Now, instead of five, we have fifteen.
00:28 Let's subtract the ones. Remember, we borrowed ten.
00:33 Write that number in the ones place.
00:36 Next, subtract the tens. Write it in the tens place.
00:41 Seven is smaller than eight.
00:44 So, we borrow one from the thousands and add it to the hundreds.
00:49 Now, we have seventeen instead of seven.
00:53 Subtract the hundreds. Remember to add the extra hundred.
00:57 Write that number in the hundreds place.
01:01 If there are any missing digits, let's fill them with zero.
01:05 Now, subtract the thousands and write it in the thousands place.
01:11 And that's how we get to the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

4735  816776 \begin{aligned} &4735 \\ -& \\ &~~816 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the subtraction problem 47358164735 - 816, we will perform each subtraction step by step:

Let's write the numbers vertically:

4735 0816      \begin{array}{c} 4735 \\ -~\phantom0816~~~~~ \\ \hline \end{array}

Step 1: Start from the rightmost digit (the units place):

  • We need to subtract 6 from 5. Since 5 is smaller than 6, we need to borrow from the tens place.

Step 2: Borrowing from the tens place:

  • The 3 (in the tens place) becomes 2, and the 5 (in the units place) becomes 15.

  • Now, subtract 6 from 15 to get 9 in the units place.

Step 3: Move to the tens place:

  • We now need to subtract 1 from 2 (since we have already borrowed 1 from the tens place).

  • This gives us 1 in the tens place.

Step 4: Move to the hundreds place:

  • Subtract 8 from 7. Since 7 is smaller than 8, we have to borrow from the thousands place.

Step 5: Borrowing from the thousands place:

  • The 4 (in the thousands place) becomes 3, and the 7 (in the hundreds place) becomes 17.

  • Now, subtract 8 from 17 to get 9 in the hundreds place.

Step 6: Move to the thousands place:

  • Subtract 0 from 3 (since no borrowing is needed here) to get 3 in the thousands place.

Putting it all together, the result is:

3919 \begin{array}{c} 3919 \\ \hline \end{array}

Thus, the solution to the subtraction problem 47358164735 - 816 is 39193919.

3

Final Answer

3919

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always borrow from the next higher place value
  • Technique: 15 - 6 = 9 after borrowing makes 5 become 15
  • Check: Add answer to subtrahend: 3919 + 816 = 4735 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed digit
    Don't borrow 1 from 3 to make 5 become 15, then still use 3 in the next step = wrong calculation! This creates phantom digits that don't exist. Always reduce the borrowed digit by 1 immediately after borrowing.

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

What happens when I need to borrow multiple times?

+

Handle each borrowing step one at a time! In 4735 - 816, first borrow for the units place (3 becomes 2, 5 becomes 15), then later borrow for the hundreds place (4 becomes 3, 7 becomes 17).

How do I know when to borrow?

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Borrow whenever the top digit is smaller than the bottom digit you're subtracting from it. Like when you need to subtract 6 from 5 or 8 from 7.

Can I borrow from a zero?

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You can't directly borrow from 0! You need to keep going left until you find a non-zero digit, borrow from that, and work your way back right.

Why does my answer look wrong compared to the original numbers?

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In subtraction, your answer should be smaller than the first number (minuend). Since 3919 < 4735, this confirms our answer makes sense!

What's the fastest way to check my subtraction?

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Use addition to check: Add your answer to the number you subtracted. 3919+816=4735 3919 + 816 = 4735 ✓ This should equal your original first number.

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