Which law is illustrated by the equation \\((a+b)+c=a+(b+c)\\)?
Answer and explanation
Correct answer: Associative law
In this equation, the order of the numbers remains unchanged, but the grouping changes from \\((a+b)+c\\) to \\(a+(b+c)\\). The sum remains the same, so it represents the associative law of addition. The distributive law involves multiplication over addition, such as \\(a(b+c)=ab+ac\\). Exam tip: associative law changes grouping, whereas commutative law changes the order of terms.
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 numbers remains unchanged, but the grouping changes from \\((a+b)+c\\) to \\(a+(b+c)\\). The sum remains the same, so it represents the associative law of addition. The distributive law involves multiplication over addition, such as \\(a(b+c)=ab+ac\\). Exam tip: associative law changes grouping, whereas commutative law changes the order of terms.
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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