Page 33 - Start Up Mathematics_4

Addition of Numbers (with carry over)

Look at the given examples to see how to add large numbers with carry over.

Example 3: Find the sum of 42,618 and 37,956.
Solution: Step 1: Add the ones. Step 2: 14 is a 2-digit number. Keep 4 in
8 + 6 = 14 the ones place and carry over 1
to the tens place. Add the tens
and the 1 carried over.

1 + 1 + 5 = 7
TTh Th H T O TTh Th H T O
1
4 2 6 1 8 4 2 6 1 8

+ 3 7 9 5 6 + 3 7 9 5 6

1 4 7 4

Step 3: As nothing is carried over, Step 4: 15 is a 2-digit number. Keep 5 in
we add the hundreds. the hundreds place and carry
6 + 9 = 15 over 1 to the thousands place.

Add the thousands and the 1
carried over. 1 + 2 + 7 = 10
TTh Th H T O TTh Th H T O
4 2 6 1 1 8 4 1 2 6 1 1 8

+ 3 7 9 5 6 + 3 7 9 5 6

1 5 7 4 1 0 5 7 4

Step 5: 10 is a 2-digit number. TTh Th H T O
Keep 0 in the thousands 1 1 1
place and carry over 1 to the 4 2 6 1 8
ten thousands place. + 3 7 9 5 6
Add the ten thousands and the
1 carried over. 1 + 4 + 3 = 8 8 0 5 7 4
So, 42,618 + 37,956 = 80,574
Example 4: Find the sum of 5,70,183 and 2,69,476.

Solution: L TTh Th H T O

1 5 7 0 1 1 8 3
Remember
+ 2 6 9 4 7 6 Addition using carry over

8 3 9 6 5 9 method is also called
addition by regrouping.
So, 5,70,183 + 2,69,476 = 8,39,659.

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