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Using the Number Splitting method, calculate 4523 + 3768 by splitting after the first two digits.
  • a)
    8289
  • b)
    8290
  • c)
    8291
  • d)
    8292
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Using the Number Splitting method, calculate 4523 + 3768 by splitting ...
Split: 45 | 23 + 37 | 68. Add: 45 + 37 = 82, 23 + 68 = 91. Combine: 8200 + 91 = 8291.
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Community Answer
Using the Number Splitting method, calculate 4523 + 3768 by splitting ...
Understanding Number Splitting Method
The Number Splitting method helps simplify addition by breaking numbers into manageable parts. Here, we will apply this method to calculate 4523 + 3768.
Step 1: Split the Numbers
- Split both numbers after the first two digits:
- 4523 becomes 45 and 23
- 3768 becomes 37 and 68
Step 2: Add the Split Parts
- Add the first parts:
- 45 + 37 = 82
- Add the second parts:
- 23 + 68 = 91
Step 3: Combine the Results
- Now, combine the results:
- 82 (from the first parts) becomes 8200 when we add two zeros (since they represent hundreds and thousands).
- 91 (from the second parts) remains as is.
Final Calculation
- Combine 8200 and 91:
- 8200 + 91 = 8291
Thus, the total sum of 4523 + 3768 using the Number Splitting method is 8291.
Conclusion
- The correct answer is option 'C' (8291).
- This method not only simplifies the addition process but also helps in reducing errors.
By using the Number Splitting method, we efficiently calculated the sum of two four-digit numbers with clarity and ease.
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Question Description
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