Friday, 15 June 2012

Associative Property of Addition

In the previous post we have discussed about The Unit Circle and In today's session we are going to discuss about Associative Property of Addition, Different properties of addition can be checked for the numbers namely closure property, commutative property and associative property for addition.  By Associative Property Of Addition, we mean that if we have any three natural numbers say a, b and c then we say that the addition of these three numbers is associative, which indicates that even if the order of addition of the three numbers is changed, the sum of the three numbers remains same. So we say that the numbers a and b are added first and then number c is added to it, the sum we get will be the same as when we add the numbers b and c and then the number a is added to it.  Thus it can be mathematically expressed as follows:
 ( a + b )  + c = a + ( b + c )
 The associative property of addition also holds true for the whole numbers, integers and even for the fraction numbers.  If we have 3 fraction numbers say a1/b1, a2/ b2 and a3 / b3, then we say that the associative property of addition also holds true for the fraction numbers which can be indicated numerically as follows:  ( a1/b1 +  a2/ b2 ) + ( a3 / b3) =  ( a1/b1) + (  a2/ b2  + a3 / b3 )
 We also check the associative property of addition for the rational numbers and observe that the associative property of addition also holds true for the addition of the rational numbers too. (know more about Associative property, here)
To understand the concept of how to do fractions, without the help of the teacher, we can take the help of online math tutor and understand the concepts. We can also download CBSE Board Hindi Syllabus to know about the marks distribution of different topics and understand the pattern of the question paper.

1 comment:

  1. The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. The associative property will involve 3 or more numbers. The parenthesis indicates the terms that are considered one unit.

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