Understanding the Number Splitting Method
The number splitting method is a useful technique for simplifying subtraction problems. Let's apply this to the problem: 5842 - 2639.
Step 1: Split the Numbers
We can break down both numbers into smaller, more manageable parts:
- 5842 can be split into:
- 5000
- 800
- 40
- 2
- 2639 can be split into:
- 2000
- 600
- 30
- 9
Step 2: Subtract Each Part
Now, we will subtract each part of 2639 from the corresponding parts of 5842:
- 5000 - 2000 = 3000
- 800 - 600 = 200
- 40 - 30 = 10
- 2 - 9 = -7 (Since we can't subtract 9 from 2, we will borrow 1 from the previous part.)
When we borrow 1 from 40, it becomes 30, and 2 becomes 12. So we now do:
- 12 - 9 = 3
Now, we can sum all the results:
Step 3: Combine the Results
- From the subtraction we got:
- 3000
- 200
- 10
- 3
Adding these together:
- 3000 + 200 + 10 + 3 = 3213
However, we need to account for the borrowing. The correct adjustment on combining yields:
- 3000 + 200 + 10 - 7 = 3203
Conclusion
The final answer to the subtraction 5842 - 2639 using the number splitting method is:
3203
Thus, the correct answer is option 'A'.