Let's solve the subtraction problem: six thousand thirty-nine minus six hundred thirty-five. First, we align the numbers vertically by place value. Then we subtract the ones column: nine minus five equals four. Next, we subtract the tens column: three minus three equals zero. For the hundreds column, we have zero minus six. Since we can't subtract six from zero, we need to borrow from the thousands place. The six in the thousands place becomes five, and the zero in the hundreds place becomes ten. Now we can subtract: ten minus six equals four. Finally, we subtract the thousands column: five minus zero equals five. The result is five thousand four hundred and four.
Let's look more closely at the borrowing process in this subtraction problem. When we reach the hundreds place, we need to subtract six from zero, which isn't possible directly. So we borrow one from the thousands place, changing the six to five. This borrowed one goes to the hundreds place, turning the zero into ten. Now we can subtract six from ten, giving us four in the hundreds place. After completing all the steps, our final answer is five thousand, four hundred and four.
Let's break down this subtraction problem by place value. We have 6039 minus 635. In the ones place, we subtract 5 from 9 to get 4. In the tens place, we subtract 3 from 3 to get 0. In the hundreds place, we need to subtract 6 from 0, which requires borrowing. We borrow 1 from the thousands place, reducing 6 to 5, and adding 10 to the hundreds place. Now we can subtract 6 from 10 to get 4. Finally, in the thousands place, we have 5 remaining. So our answer is 5404.
Let's verify our answer by using addition. If we add our result, 5404, to the number we subtracted, 635, we should get back our original number, 6039. Let's check: 4 plus 5 is 9, 0 plus 3 is 3, 4 plus 6 is 10, so we write 0 and carry the 1, and finally 5 plus 6 plus the carried 1 equals 12, but we only write the 2 and carry the 1 to get 6. So we have 6039, which confirms our answer is correct. There are also alternative methods for solving subtraction problems, such as the column subtraction method, where we work from right to left, borrowing when necessary. The key is to understand the place value system and the concept of regrouping or borrowing.
Let's summarize what we've learned. We solved the subtraction problem 6039 minus 635, which equals 5404. When subtracting, we sometimes need to borrow or regroup when a digit in the subtrahend is larger than the corresponding digit in the minuend. In this case, we borrowed from the thousands place to the hundreds place. When borrowing, we take 1 from the left place value and add 10 to the current place value. We can verify our subtraction by adding the result back to the subtrahend, which should give us the original minuend. Understanding place value is essential for performing subtraction with regrouping correctly. Remember, practice is key to becoming proficient with these types of calculations.