Solve Three-Digit Subtraction: 453 minus 269

Question

amp;453amp;amp;269amp;776amp; \begin{aligned} &453 \\ -& \\ &269\\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider a shortage of 2 digits, and then we place
00:06 3 is less than 9
00:10 Therefore we subtract 1 from the tens and add this amount to the ones
00:15 So now instead of 3 we will have 13
00:19 Subtract the ones from the ones plus ten
00:23 Place in the ones
00:28 4 is less than 6
00:32 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:37 So now instead of 4 we will have 14
00:41 Subtract the tens from the tens plus ten
00:44 Place in the tens
00:48 Subtract hundreds from hundreds, and place in hundreds
00:51 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll perform vertical subtraction:

  • Step 1: Subtract the units place.
  • Step 2: Subtract the tens place after borrowing if necessary.
  • Step 3: Subtract the hundreds place.

Now, let's work through each step:

Step 1: Units Place
We have 33 (from 453) and 99 (from 269). Since 33 is less than 99, we need to borrow 1 from the tens column:

  • Borrow 1 from the tens column (making it 434 \rightarrow 3), change units to 1313.
  • Subtract: 139=413 - 9 = 4.

Step 2: Tens Place
After borrowing, we have 33 in the tens place (originally 55, but 11 was borrowed) and 66 in the tens place of 269. Since 33 is less than 66, we need to borrow 1 from the hundreds column:

  • Borrow 1 from the hundreds column (making it 434 \rightarrow 3), change tens to 1313.
  • Subtract: 136=713 - 6 = 7.

Step 3: Hundreds Place
After borrowing, we have 33 in the hundreds place and 22 in the hundreds place of 269:

  • Subtract: 32=13 - 2 = 1.

Therefore, the solution to the problem is 184 184 .

Answer

184