Addition Formula

Addition Formula

The sum of values is called addition. To know the total values, one needs to add two or three different values.

For example, when you have 10 +5, you just regroup the numbers according to the place value of the number. If the number is in the ten’s place, then place the second number’s ten’s value under that. Similarly, do that for hundreds, thousands value.
Now start adding the terms from the extreme right and carry over the extra digit to the next column.
Suppose you have to add two numbers, the addition formula is mentioned below.

\[\large Sum \:of \:Two\: Numbers = First \: Number + Second\: Number\]

X and Y are two given number then, the sum Z is given by

Z = X + Y

Example:

32 + 16
Here in the ten’s place, we have 3 and 1
On the one’s place, we have 2 and 6, so we place them as given below:

   3  2      

+ 1  6
    ——-
    4 8
For a list of values like  a1, a2, a3,……….an, the formula is
A = $a_{1}$ + $a_{2}$+ $a_{3}$…….$a_{n}$

Solved Examples

Example 1: Find the sum of 67 and 15.
Solution:
Given :

First number = 67, second number = 15
Sum = First number + Second number
   6  7      
+ 1  5
    ——-
    8 2
Example 2: Find the sum of 413, 78 and 350.
Solution:
413
+ 78
+ 350
——–
841
Explanation:
The digits at units place are 3, 8, 0
3 + 8 + 0 = 11
Hence, keep1 and carry 1 for the addition of digits at tens place
Sum of digits at tens place = 1 + 7 + 5 + 1(carried) = 14
Here, keep 4 and carry 1 for the next addition of digits at hundreds place
Sum of digits at hundreds place = 4 + 3 + 1 (carried) = 8
Therefore, the result is 841.

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