Subtract 1542 from 2453: Multi-digit Subtraction Practice

Question

amp;2453amp;amp;1542amp;776amp; \begin{aligned} &2453 \\ -& \\ &1542 \\ &\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'll place
00:06 Subtract ones from ones, and place in ones
00:09 Subtract tens from tens, and place in tens
00:12 4 is less than 5
00:17 Therefore we subtract 1 from thousands, and add this amount to hundreds
00:22 That means now instead of 4 we will have 14
00:27 Subtract the hundreds from hundreds plus the hundred
00:30 Place in hundreds
00:34 Subtract thousands from thousands, and place in thousands
00:38 And this is the solution to the problem

Step-by-Step Solution

To solve this problem of subtracting 1542 from 2453, we'll perform the arithmetic operation step-by-step, focusing on digit-by-digit subtraction with regrouping as necessary:

  • *Step 1: Subtract in the Units Column (Rightmost):

  • - The units place digits are 3 and 2. - Subtract 2 from 3, resulting in 1. No need for regrouping here.

  • Step 2: Subtract in the Tens Column:

  • - The tens place digits are 5 and 4. - Subtract 4 from 5, resulting in 1. No need for regrouping here.

  • Step 3: Subtract in the Hundreds Column:

  • - The hundreds place digits are 4 and 5. - 4 is less than 5, so we need to regroup. - Borrow 1 from the thousands place, turning 4 into 14 (since we borrowed 10 from the next higher place). - Now subtract 5 from 14, resulting in 9.

  • Step 4: Subtract in the Thousands Column:

  • - The thousands digit after borrowing is 1, and in the subtrahend, it is 1. - Subtract 1 from 1, giving us 0.

  • Step 5: Compile the Results:

  • - After subtracting each digit, we compile the result into 911.

Therefore, the solution to the problem 2453 minus 1542 is 911911.

This calculation matches with choice 2 from the answer choices provided.

Answer

911