Which law is represented by the equation \\(m(n+p)=mn+mp\\)?
Answer and explanation
Correct answer: Distributive law
The distributive law states that multiplying a number by a sum is the same as multiplying it separately by each term: \\(m(n+p)=mn+mp\\). The commutative and associative laws deal with changing order and grouping, respectively, so they do not describe this expansion. Exam tip: when a factor outside parentheses is multiplied by every term inside, identify the distributive law.
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What is the correct answer to this question?
Distributive law
Why is this the correct answer?
The distributive law states that multiplying a number by a sum is the same as multiplying it separately by each term: \\(m(n+p)=mn+mp\\). The commutative and associative laws deal with changing order and grouping, respectively, so they do not describe this expansion. Exam tip: when a factor outside parentheses is multiplied by every term inside, identify the distributive law.
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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