Question
What is the name of the following expression?
(a + b) + c = a + (b + c)
- Commutative property
- Associative property
- Distributive property
- Closure property
Hint:
We are given an algebraic expression. An algebraic expression can consist of variables and constants. A variable doesn’t have a fixed value. A constant is a quantity with a fixed value. In the question, the expression is rearranged and we are asked to identify the property that caused the rearrangement
The correct answer is: Associative property
The given equation is (a + b) + c = a + (b + c)
Let’s consider the L.H.S.
The L.H.S is (a + b) + c. If we see, there is only one operation that is addition between the three terms.
Similarly, for the R.H.S
And there is a rearrangement of just brackets.
So we can conclude that the property used is associative property.
The associative property means that even if we rearrange the brackets, given that there is only one operation between the terms, we get the same results.
So the property used is associative property.
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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