Which law is illustrated by the equation \((m+n)+p=m+(n+p)\)?
Answer and explanation
Correct answer: Associative law
In this equation, the order of the addends remains the same, but their grouping changes: \((m+n)\u0008 is grouped on the left and \((n+p)\u0008 on the right. Since regrouping does not change the sum, this is the associative law of addition. The distributive law involves multiplication over addition, while the commutative law changes the order of terms. Exam tip: To identify the associative law, look for a change in grouping, not a change in 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 addends remains the same, but their grouping changes: \((m+n)\u0008 is grouped on the left and \((n+p)\u0008 on the right. Since regrouping does not change the sum, this is the associative law of addition. The distributive law involves multiplication over addition, while the commutative law changes the order of terms. Exam tip: To identify the associative law, look for a change in grouping, not a change in 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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