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\ 10-Nov-2025 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________
Step 4. Add the thousands and regroup. Step 5. Add the ten thousands.
TTh Th H T O TTh Th H T O
1 1 1 1 1 1 1 1
3 6 9 7 6 3 6 9 7 6
+ 5 7 8 9 8 + 5 7 8 9 8
4 8 7 4 9 4 8 7 4
Therefore, 36976 + 57898 = 94874.
Example 3. Add the following numbers:
a. 4364 + 1792 + 73645 b. 20436 + 18369 + 42178
Solution. a. TTh Th H T O b. TTh Th H T O
1 2 1 1 1 2
4 3 6 4 2 0 4 3 6
1 7 9 2 1 8 3 6 9
+ 7 3 6 4 5 + 4 2 1 7 8
7 9 8 0 1 8 0 9 8 3
Checking Addition
To check a sum, we add the numbers from the bottom-up. This is called adding up.
Example 4. Find the sum of the following numbers and check the sum.
a. 2736 + 4187 = ? b. 56143 + 27682 = ?
Solution. a. Th H T O b. TTh Th H T O
2 7 3 6 Adding 5 6 1 4 3 Adding
+ 4 1 8 7 down + 2 7 6 8 2 down
6 9 2 3 Sum 8 3 8 2 5 Sum
Th H T O TTh Th H T O
6 9 2 3 Sum 8 3 8 2 5 Sum
+ 2 7 3 6 Adding + 5 6 1 4 3 Adding
4 1 8 7 up 2 7 6 8 2 up
We get the same sum in both the We get the same sum in both the
cases. So, the sum is correct. cases. So, the sum is correct.
28 Mathematics 4

