Solve Vertical Subtraction: 7015 minus 4246

Vertical Subtraction with Multi-Digit Regrouping

70154246776 \begin{aligned} &7015 \\ -& \\ &4246 \\ &\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 consider a shortage of 2 digits, and then we'll place
00:06 5 is less than 6
00:09 Therefore, we subtract 1 from the tens and add this amount to the ones
00:13 Meaning now instead of 5 we'll have 15
00:17 Subtract the ones from the ones plus ten
00:21 Place in ones
00:25 0 is less than 4
00:28 Therefore, we subtract 1 from the hundreds and add this amount to the tens
00:35 Meaning now instead of 0 we'll have 10
00:40 Subtract the tens from the tens plus ten
00:43 Place in tens
00:47 1 is less than 2
00:52 Therefore, we subtract 1 from the thousands and add this amount to the hundreds
00:57 Meaning now instead of 1 we'll have 11
01:03 Subtract the hundreds from the hundreds plus hundred
01:07 Place in hundreds
01:11 Subtract thousands from thousands, and place in thousands
01:14 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

70154246776 \begin{aligned} &7015 \\ -& \\ &4246 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the subtraction problem 701542467015 - 4246, we will proceed with vertical subtraction by following these steps:

  • Step 1: Write the numbers vertically, aligning by their place values.
  • Step 2: Start subtracting from the rightmost digit (units place).
  • Step 3: Handle borrowing (regrouping) where necessary:

Let's perform the subtraction:

Step 1: Align the numbers vertically:

70154246 \begin{array}{cccc} & & & 7015 \\ - & & & 4246 \\ \hline \end{array}

Step 2: Subtract from the rightmost digit (units place):

  • Units: 565 - 6 is not possible without borrowing, so we borrow 1 from the tens place.
  • This makes the units place 156=915 - 6 = 9.

Step 3: Move to the tens place:

  • After borrowing, tens: 00 becomes 1010, and you initially borrowed 11, so you'll have 1014=610 - 1 - 4 = 6.

Step 4: Move to the hundreds place:

  • The hundreds have already been adjusted for borrowing, it's originally 11 (borrowed from thousands), so computing 92=79 - 2 = 7.

Step 5: Move to the thousands place:

  • Finally, 74=37 - 4 = 3.

Thus, the result of the subtraction 701542467015 - 4246 is 27692769.

Therefore, the correct answer choice, comparing against the given options, is 2769, corresponding to choice 2769.

3

Final Answer

2769

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically by place value positions
  • Borrowing: When 5 - 6 isn't possible, borrow from tens: 15 - 6 = 9
  • Verification: Add your answer to the subtracted number: 2769 + 4246 = 7015 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to adjust borrowed-from digits
    Don't subtract normally after borrowing without reducing the borrowed-from digit = wrong calculation! When you borrow 1 from the tens place for units, you must reduce tens from 1 to 0. Always decrease the borrowed-from digit 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

What does 'borrowing' or 'regrouping' actually mean?

+

Borrowing means taking 10 from the next higher place value when you can't subtract. For example, when we can't do 5 - 6, we borrow 10 from the tens place, making it 15 - 6 = 9.

How do I handle borrowing when there's a zero?

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When borrowing from a zero (like the tens place in 7015), you need to borrow from the next non-zero digit. The 0 becomes 10, but you borrowed from hundreds, so hundreds decreases by 1.

Why do we start subtracting from the rightmost column?

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We start from the units place because borrowing affects the digits to the left. If we started from the left, we'd have to redo our work when borrowing changes those digits.

How can I check if my subtraction is correct?

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The best way is to add your answer to the number you subtracted. If you get the original number, you're right! 2769+4246=7015 2769 + 4246 = 7015

What if I get confused during all the borrowing steps?

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Take it one column at a time and write down what happens to each digit when you borrow. Use small numbers above digits to track changes. Practice makes perfect!

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