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To solve this problem, we will subtract 659 from 3008 using borrowing in the subtraction process:
Line up the numbers with the larger number on top:
Begin subtraction from the rightmost column (units place), where we have . Since is smaller than , we need to borrow.
Move to the tens place, which is also . Since we cannot borrow from a , move left to the hundreds place.
The hundreds place is also , so continue to the thousands column, where we have :
Decrease the to and make the hundreds column . Now borrow from the hundreds column, turning it into and the tens column into .
Finally, borrow from the tens column to assist the units column: We can now do .
Proceed to the tens column. .
The hundreds column: .
The thousands column: .
Writing down the final subtraction gives us:
Therefore, the solution to the problem is 2349.
2349
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Keep moving left until you find a non-zero digit! In 3008 - 659, you go from the 0 in tens place to the 0 in hundreds place, then finally to the 3 in thousands place.
When you borrow from the 3, it becomes 2. Each zero you passed through becomes 10, then loses 1 to help the next column, leaving 9. So: thousands=2, hundreds=9, tens=9, units=10.
After borrowing, make sure you can actually do the subtraction in each column! You should have: 18-9=9, 9-5=4, 9-6=3, 2-0=2 giving you 2349.
Column subtraction with borrowing is the standard method you need to master. With practice, the borrowing pattern through zeros becomes automatic!
This means you forgot to borrow! You should never subtract a larger digit from a smaller one. Always borrow first to make the top digit larger.
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