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To solve this problem, we'll follow these steps:
Step 1: Set up the numbers for vertical subtraction
Step 2: Perform subtraction starting from the rightmost column
Step 3: Apply regrouping (borrowing) if necessary
Let's work through each step:
Step 1: Set up the numbers as follows:
Step 2: Start with the units column: . Since 2 is less than 5, we need to regroup:
Step 3: Borrow 1 from the tens column, turning 7 into 6 and 2 into 12. Now subtract the units: .
Next, move to the tens column. After borrowing, we have in the tens column, subtract (from the subtrahend):
Since is not possible without borrowing, we need to regroup.
Borrow 1 from the hundreds column, turning into and into . Now subtract the tens: .
Lastly, move to the hundreds column. After borrowing, it's . Place this value in the hundreds place.
The final subtraction setup and answer is:
Therefore, the solution to the problem is .
187
\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Great question! When you borrow from the tens column (turning 7 into 6), and then need to borrow again for the tens calculation, you borrow from the already reduced number. So 6 becomes 16 after borrowing from hundreds.
We start from the units column because that's how place value works! Each column represents a different power of 10, and borrowing affects the column to the left.
That's perfectly normal! If you borrow 1 from a column with only 1 in it, that column becomes 0. Just continue with your subtraction as usual.
After borrowing, the original number should equal your regrouped number. For example: 372 = = 200 + 160 + 12 = 372 ✓
No worries! Cross out your work and start fresh with that column. It's better to restart than continue with an error that will affect your final answer.
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