Questions and Answers
What is the purpose of regrouping in addition?
What do you do when the sum of the digits in a column is greater than 10?
What is the correct order of steps when regrouping in addition?
What is the result of adding 45 and 27 using regrouping?
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What happens to the extra tens when regrouping in addition?
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What is the correct step when adding 94 and 35 using regrouping?
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Study Notes
Regrouping in Addition
What is Regrouping?
- Regrouping is a strategy used in addition to handle situations where the sum of two or more digits in a column is greater than 10.
- It involves "carrying" or "regrouping" the extra tens to the next column.
How to Regroup
- Add the digits: Add the digits in each column as usual.
- Check for regrouping: If the sum of the digits in a column is greater than 10, regroup the extra tens to the next column.
- Carry the tens: Add the regrouped tens to the next column.
- Repeat the process: Continue adding and regrouping until all columns have been added.
Examples
- 45 + 27 =
- Add the digits in the ones column: 5 + 7 = 12
- Regroup the extra tens: 1 ten carried to the tens column
- Add the digits in the tens column: 4 + 2 + 1 = 7
- Answer: 72
- 94 + 35 =
- Add the digits in the ones column: 4 + 5 = 9
- Add the digits in the tens column: 9 + 3 + 0 = 12
- Regroup the extra tens: 1 ten carried to the hundreds column
- Answer: 129
Regrouping in Addition
- Regrouping is a strategy used in addition to handle situations where the sum of two or more digits in a column is greater than 10.
- It involves "carrying" or "regrouping" the extra tens to the next column.
Steps to Regroup
- Add the digits in each column as usual.
- Check if the sum of the digits in a column is greater than 10, and regroup the extra tens to the next column.
- Carry the regrouped tens to the next column.
- Continue adding and regrouping until all columns have been added.
Example Walkthroughs
45 + 27
- Add the digits in the ones column: 5 + 7 = 12
- Regroup the extra tens: 1 ten carried to the tens column
- Add the digits in the tens column: 4 + 2 + 1 = 7
- Answer: 72
94 + 35
- Add the digits in the ones column: 4 + 5 = 9
- Add the digits in the tens column: 9 + 3 + 0 = 12
- Regroup the extra tens: 1 ten carried to the hundreds column
- Answer: 129
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Description
Learn about regrouping in addition, a strategy to handle sums greater than 10, involving carrying extra tens to the next column.