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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 .
This calculation matches with choice 2 from the answer choices provided.
911
\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
You need to borrow whenever the top digit is smaller than the bottom digit in any column. Like in this problem, 4 is smaller than 5 in the hundreds place, so we borrowed from the thousands.
Take 1 from the column to the left and add 10 to your current column. So 4 becomes 14, and the 2 in thousands becomes 1. Now you can subtract: 14 - 5 = 9.
When borrowing from 0, you need to keep going left until you find a non-zero digit. Change each 0 to 9 as you borrow through the columns.
Add your answer to the number you subtracted. If you get the original number, you're right!
Each column represents a different place value: ones, tens, hundreds, thousands. Lining them up ensures we subtract the right place values from each other.
If you borrow 1 from a column but forget to reduce that digit, your final answer will be wrong. Always remember: when you borrow 1, subtract 1 from where you borrowed!
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