Solve: Finding the Difference Between 48262 and 15336

Question

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

Video Solution

Solution Steps

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 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 .

Answer

32926