Year 6 Exam > Year 6 Notes > Year 6 Mathematics > Add numbers with 4 digits or more together
Add numbers with 4 digits or more together | Year 6 Mathematics PDF Download
Adding 4-Digit Numbers
- The primary technique for adding numbers with four digits or more involves using column addition.
- The same method used for adding numbers with three digits can be extended to larger numbers.
Column Addition Method
- The column addition method entails writing one number from the sum beneath the other.
- Numbers are added starting from the rightmost column.
- If the sum of two numbers in a place value column exceeds 9, a digit must be carried over.
Examples
Example 1:
- What is 34,523 + 3,291? Add the ones column: 3 + 1 = 4. Place 4 in the ones column.
- Add the tens column: 20 + 90 = 110. Place 1 in the tens column and carry 1 to the hundreds column.
- Add the hundreds column: 500 + 200 + 100 (carried over) = 800.
- Add the thousands column: 4000 + 3000 = 7000.
- Add the tens of thousands column: 30,000 + 0 = 30,000.
- The final result of adding 34,523 and 3,291 is 37,814.
Example 2: Emily thinks that 27,342 + 22,812 = 49,154. Is she correct?
Emily hasn’t shown her working out so use the column method to check her answer.
- What is 27,342 + 22,812? Add the ones column: 2 + 2 = 4.
- Move to the tens column: 40 + 10 = 50.
- Add the hundreds column: 300 + 800 = 1,100. Carry the 1,000 over to the thousands column.
- Add the thousands column: 7,000 + 2,000 + 1,000 (carried over) = 10,000. Carry over to the tens of thousands column and place 0 in the thousands column.
- Add the tens of thousands column: 20,000 + 20,000 + 10,000 (carried over) = 50,000.
- The final result of adding 27,342 and 22,812 is 50,154.
Emily answered 49,154, which is incorrect. She forgot to carry over her thousand and ten thousand to the correct place value!
Checklist
- Arrange the numbers in columns based on their place value.
- The order of the numbers doesn’t matter. For instance, 23,345 + 11,129 is the same as 11,129 + 23,345.
- Make a rough estimate before you begin adding.
- Begin with the rightmost column, adding the ones first.
- Key words to watch for in problems include: total, sum, altogether, more. These all signal an addition calculation.
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FAQs on Add numbers with 4 digits or more together - Year 6 Mathematics
| 1. How can the column addition method help in adding 4-digit numbers? |  |
Ans. The column addition method allows for the systematic addition of numbers by lining them up in columns according to their place value, making it easier to add large numbers like 4-digit numbers.
| 2. Can the column addition method be used for adding numbers with more than 4 digits? | |
Ans. Yes, the column addition method can be used for adding numbers with more than 4 digits. It is a versatile method that can be applied to numbers of any length.
| 3. Why is it important to line up the numbers according to their place value when using the column addition method? | |
Ans. Lining up the numbers according to their place value ensures that each digit is added in the correct column, preventing errors in the final sum when using the column addition method.
| 4. How can students practice and improve their skills in adding 4-digit numbers using the column addition method? | |
Ans. Students can practice adding 4-digit numbers by solving a variety of problems, starting with simple examples and gradually increasing the complexity. Regular practice can help improve their skills in using the column addition method effectively.
| 5. Are there any common mistakes to avoid when using the column addition method for adding 4-digit numbers? | |
Ans. Common mistakes to avoid when using the column addition method include misaligning the numbers, forgetting to carry over numbers when necessary, and not double-checking the final sum for accuracy.
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Dec 26, 2024 Last updated |
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