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To solve the subtraction problem , we will use the vertical subtraction method. Here are the steps:
Step 1: Align the numbers by their place values:
Step 2: Start from the rightmost column:
Units place:
Step 3: Move to the tens place:
Tens place:
Step 4: Hundreds place:
Hundreds place: , since 5 is less than 7, we need to borrow 1 from the thousands place, making it .
Step 5: Thousands place (after borrowing):
Thousands place: Originally , after borrowing it becomes , so , we again need to borrow from ten-thousands place, thus .
Final step: Ten-thousands place (after all adjustments):
Ten-thousands place: Originally , after borrowing it became , so concludes with .
Therefore, by combining all steps, the result is:
Hence, the solution to the subtraction problem is .
3823
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Starting from the ones place (rightmost) follows the same pattern you learned with smaller numbers. This way, any borrowing moves logically from right to left, just like counting!
You can't borrow from 0 directly! First, you need to borrow from the next column over, turning that 0 into 10, then borrow 1 from that 10 for your current column.
Borrow whenever the top digit is smaller than the bottom digit in any column. For example, in 5 - 7, since 5 < 7, you need to borrow to make it 15 - 7.
Yes! You can also estimate: and , so the answer should be around . Since 3823 is close to 4000, it makes sense!
Don't panic! Erase your work and start that column over. It's better to be careful with borrowing than to rush and get the wrong answer.
Check your borrowing in the thousands place! Remember: after borrowing 1 from the ten-thousands place (1), it becomes 0, and the thousands place (3) becomes 13, so ... wait, that would give 4823, but we need to account for the hundreds borrowing too!
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