Can you explain how to subtract with regrouping and borrowing?
Subtraction with regrouping and borrowing is a method used in mathematics to subtract multi-digit numbers. It involves "regrouping" or "borrowing" from a higher place value to make it easier to subtract.
Steps:
- Align the numbers: Write the numbers on top of each other, aligning the decimal points or place values.
- Start from the rightmost digit: Subtract the rightmost digit of the bottom number from the corresponding digit of the top number.
- Regroup or borrow if necessary: If the bottom digit is larger than the top digit, you need to borrow 1 from the next digit in the top number. This is called "regrouping."
- Subtract again: Subtract the borrowed number from the next digit in the top number, and subtract the bottom digit again.
- Continue subtracting: Repeat steps 2-4 until all digits have been subtracted.
- Check your answer: Estimate the result by rounding each number to the nearest tens or hundreds. If your answer is close to the estimate, it is likely correct.
Example:
To subtract 457 from 632, you would:
- Align the numbers:
```
632
- 457 ```
- Subtract the rightmost digits: 2 - 7 = 5
- Borrow from the tens place: 3 - 5 (borrow 1) = 2
- Subtract again: 2 - 5 (borrowed) = -3
```
622
- 457 ```
- Continue subtracting: -3 - 4 = -7
- Check your answer: 632 - 457 = 175 (approximately)
Related Questions:
- What is the difference between regrouping and borrowing?
- How do you borrow from a zero in the top number?
- What if the top number has more digits than the bottom number?
- How can I make subtraction with regrouping easier?
- When should I use regrouping and when should I use borrowing?
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