Solve: Finding the Difference Between 48262 and 15336

Multi-Digit Subtraction with Borrowing

4826215336776 \begin{aligned} &48262 \\ -& \\ &15336 \\ &\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
00:06 2 is less than 6
00:10 Therefore we'll borrow ten from the tens column, for the ones place
00:13 Which will change the tens from 6 to 5
00:16 And now we'll have 12 instead of 2, in the ones place!
00:20 Subtract ones from ones, and place in ones
00:27 Subtract tens from tens, and place in tens
00:31 2 is less than 3
00:35 Therefore we'll borrow hundred from the thousands, for the hundreds place
00:39 Which will change the thousands from 8 to 7
00:42 And now we'll have 12 instead of 2, in the hundreds place!
00:45 Subtract hundreds from hundreds, and place in hundreds
00:52 Subtract thousands from thousands, and place in thousands
00:55 Subtract tens of thousands from tens of thousands, and place
00:58 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

4826215336776 \begin{aligned} &48262 \\ -& \\ &15336 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Write the numbers vertically based on their place value.

  • Step 2: Subtract each column, starting from the rightmost digit.

  • Step 3: Borrow as needed when the top digit is smaller than the bottom digit in a given column.

Now, let's work through the subtraction:

Step 1: Arrange vertically:
4826215336    \begin{array}{c} 48262 \\ -15336~~~ \\ \hline \end{array}

Step 2: Start subtracting from the right:
Ones place: 262 - 6, we need to borrow because 2 is less than 6.
- Change 2 to 12 by borrowing 1 from the 6 in the tens column, turning it into 5.
- Subtract: 126=612 - 6 = 6.

Tens place: 53=25 - 3 = 2.

Hundreds place: 232 - 3, again borrow because 2 is less than 3.
- Borrow 1 from the 8 in the thousands place, turning it into 7.
- Change 2 to 12: 123=912 - 3 = 9.

Thousands place: 75=27 - 5 = 2.

Ten-thousands place: 41=34 - 1 = 3.

So, the final result is:
4826215336   32926 \begin{array}{c} 48262 \\ -15336~~~ \\ \hline 32926 \\ \end{array}

Therefore, the solution to the problem is 32926 32926 .

3

Final Answer

32926

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always start subtracting from the rightmost column first
  • Technique: When top digit < bottom digit, borrow 10 from left neighbor
  • Check: Add your answer to the subtracted number: 32926 + 15336 = 48262 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't just add 10 to the borrowing digit and leave the left digit unchanged = wrong calculation! When you borrow 1 from 8, it becomes 7, not staying 8. Always reduce the borrowed-from digit by 1 when borrowing.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do we start from the right when subtracting?

+

We start from the ones place (rightmost) because borrowing affects the next column to the left. Working right-to-left ensures we handle all borrowing correctly before moving on.

What happens when I need to borrow from a zero?

+

When borrowing from 0, you need to keep borrowing left until you find a non-zero digit. For example, in 1002 - 456, borrow from the thousands place through all the zeros.

How do I know when I need to borrow?

+

Simple rule: If the top digit is smaller than the bottom digit in any column, you must borrow 10 from the column to the left.

Can I check my subtraction answer?

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Yes! Add your answer to the number you subtracted. If you get the original number back, your subtraction is correct. Like: 32926 + 15336 should equal 48262.

What if I make a borrowing mistake?

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Don't worry! Cross out and start over with that column. It's better to restart a column than carry a mistake through the whole problem.

Why does borrowing work?

+

Borrowing trades 1 ten for 10 ones (or 1 hundred for 10 tens, etc.). The total value stays the same, but now you have enough to subtract in that column!

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