The associative property
Algebra is all about numbers. There are several types of numbers and their properties. Mainly we have three types of number properties which are associative, distributive, and commutative. In this article we will only focus on the Associative property. This property can be applied for addition or multiplication of numbers in mathematics. The word associative means associate or group. This property refers to the rule of grouping or combining.
For the addition the associative property is derived as: a + (b + c) = (a + b) + c. The same in mathematical term means that, 6 + (1 +2) = (6 + 1) + 2,
If we solve both the sides then we get the same answer like,
6 + (1 +2) = (6 + 1) + 2,
6 + (3) = 7 + 2,
9 = 9
Thus it gives the same answer on both the sides.
Now, associative property for multiplication, the grouping property for multiplication can be stated as: a. (b. c) = (a. b).c, in mathematical terms we can express this property as:
2 x (5 x 6) = (2 x 5) x 6,
When we solve both the sides of the problem using this property it will give result as:
2 x (5 x 6) = (2 x 5) x 6,
2 x (30) = 10 x 6,
60 = 60
you can easily solve the problems using this method.
We use different types of number properties in order to reduce the complexity of the problem and you can easily approach different types of problems on which you can apply this property.
Here, are few more examples of the Associative property,
Example 1: use the associative property and rearrange this, 2(5a)
In this you have to regroup things. Like we have to define its step like,
2(5a) – original statement,
Associative property- (2 x 5) a
10a – simplified form in which we multiply 2 with 5 and ‘a’ .
This is all about Associative property. to clear other doubts related to this, do practice on daily basis and become master of math, prove yourself and score good grades in examinations.
Learn Finding Least Common Denominator on mathcaptian.com. Apart from this, you can use mathcaptain for understanding Math Number Line and other mathematical concepts and score good marks.
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