Which law is represented by the following equation? \((x+y)+z=x+(y+z)\)
Answer and explanation
Correct answer: Associative law
In this equation, the order of the terms remains the same, but their grouping changes. The sum remains unchanged when the grouping is changed, which is the associative law. It is not the commutative law, because that law changes the order of the terms, as in \(x+y=y+x\). Exam tip: associative means changing grouping, while commutative means changing order.
Frequently asked questions
What is the correct answer to this question?
Associative law
Why is this the correct answer?
In this equation, the order of the terms remains the same, but their grouping changes. The sum remains unchanged when the grouping is changed, which is the associative law. It is not the commutative law, because that law changes the order of the terms, as in \(x+y=y+x\). Exam tip: associative means changing grouping, while commutative means changing order.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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