Sunday, September 6, 2015

Associative property of mathematical addition of integers


The associative property of mathematical addition of integers says that any order of grouping of numbers in addition/summation results into same answer. 
The associative property of mathematical addition of integers can be represented as following
(a + b) + c = a + (b + c)
To understand associative property of mathematical addition of integers we can try adding numbers in different orders and note the results. 
For example,
If a = 5, b = 3 and c = 7
Then (5 + 3) + 7 = 15 and 5 + (3 + 7) = 15
So, (5 + 3) + 7 = 5 + (3 + 7) as 15 = 15
 
Another example,
If a = 5, b = -3 and c = 7
Then (5 + (-3)) + 7 = 9 and 5 + ((-3) + 7) = 9
So, (5 + (-3)) + 7 = 5 + ((-3) + 7) as 9 = 9

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