The Correct Answer and Explanation is:
The correct answer is 4648.
To solve the subtraction problem 5011 minus 363, we use the standard method of column subtraction, working from right to left through each place value: ones, tens, hundreds, and thousands. This particular problem involves a process called borrowing, or regrouping, which is necessary when a digit in the top number is smaller than the digit below it.
First, we begin with the ones column. We need to calculate 1 minus 3. Since 1 is smaller than 3, we must borrow from the tens column. The tens column has a 1, so we take that 1 ten, which leaves 0 in the tens place. We add that 1 ten (which is equal to 10 ones) to our ones place, turning the 1 into 11. Now we can perform the subtraction: 11 minus 3 equals 8. The final digit of our answer is 8.
Next, we move to the tens column. We are now left with 0 and need to subtract 6. We must borrow again, but the hundreds column is also 0. Therefore, we must go all the way to the thousands column, which has a 5. We borrow 1 from the thousands place, leaving 4 there. This 1 thousand is regrouped as 10 hundreds, so the hundreds place becomes 10. Now, we can borrow 1 from these 10 hundreds for the tens place. This leaves 9 in the hundreds place and gives 10 to the tens place. In the tens column, we calculate 10 minus 6, which equals 4.
For the hundreds column, we now have 9. We subtract the 3 from the bottom number: 9 minus 3 equals 6.
Finally, in the thousands column, we are left with 4. Since there is no digit to subtract from it, it remains 4.
Assembling the digits from each calculation gives us the final answer: 4648.
