Subtract 1506 from 6315: Vertical Format Solution

Vertical Subtraction with Multi-Digit Borrowing

63151506776 \begin{aligned} &6315 \\ -& \\ &1506 \\ &\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'll place
00:07 5 is less than 6
00:12 Therefore we subtract 1 from the tens, and add this amount to the ones
00:16 That means now instead of 5 we'll have 15
00:21 We subtract the ones from the ones plus ten
00:24 We place in ones
00:28 We subtract tens from tens, and place in tens
00:31 3 is less than 5
00:37 Therefore we subtract 1 from the thousands, and add this amount to the hundreds
00:41 That means now instead of 3 we'll have 13
00:44 We subtract the hundreds from the hundreds plus hundred
00:50 We place in hundreds
00:53 We subtract thousands from thousands, and place in thousands
00:57 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

63151506776 \begin{aligned} &6315 \\ -& \\ &1506 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the numbers by place value.
  • Step 2: Subtract each corresponding digit from right to left.
  • Step 3: Borrow from the left if the top digit is smaller than the bottom digit.

Now, let's work through each step:

Step 1: Align 6315 and 1506 vertically by place values:
63151506\begin{aligned} &6315 \\ -&1506 \\ \hline & \end{aligned}

Step 2: Start subtracting from the units place:

Units place: 565 - 6. Since 5 is smaller than 6, we need to borrow 1 from the tens place.
1 becomes 0 (in the tens place), and 5 becomes 15:
156=915 - 6 = 9.

Tens place: Now it’s 000 - 0. That gives us 00.

Hundreds place: 353 - 5 in the hundreds place. Since 3 is smaller than 5, we borrow 1 from the thousands place.
3 becomes 13 and 6 becomes 5:
135=813 - 5 = 8.

Thousands place: 51=45 - 1 = 4.

Therefore, the result of subtraction is 48094809.

According to the provided answer choices, the correct choice is choice 3, which is the number 48094809.

The solution to the problem is 48094809.

3

Final Answer

4809

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value before subtracting
  • Borrowing: When 5 < 6, borrow 1 from tens: 15 - 6 = 9
  • Verification: Add answer to subtracted number: 4809 + 1506 = 6315 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to adjust borrowed-from digits
    Don't borrow 1 from tens place and keep it as 1 = wrong calculations! When you borrow, that digit decreases by 1. Always reduce the borrowed-from digit and increase the borrowing digit by 10.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)\( \)

FAQ

Everything you need to know about this question

Why do I need to borrow when subtracting?

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You borrow when the top digit is smaller than the bottom digit. Think of it like trading: you take 10 from the next column and add it to your current digit!

What happens to the digit I borrow from?

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The digit you borrow from decreases by 1. For example, if you borrow from 1 in the tens place, it becomes 0. Always remember to adjust it!

How do I check if my subtraction is correct?

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Use addition to check subtraction! Add your answer to the number you subtracted: 4809+1506=6315 4809 + 1506 = 6315 . If you get the original number, you're right!

What if I need to borrow from zero?

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When borrowing from 0, you need to borrow from the next digit first. The 0 becomes 10, then you can borrow 1 from it, making it 9.

Do I always start subtracting from the right?

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Yes, always start from the units place (rightmost column) and work left. This ensures you handle borrowing correctly as you move through each place value.

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