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Which expression represents five times the difference of (m) and (n)?

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Answer and explanation

Correct answer: \(5(m-n)\)

The difference between m and n is \(m-n\). Taking five times this entire difference gives \(5(m-n)\), so option C is correct. In \(5m-n\), only m is multiplied by 5, not the whole difference. Exam tip: When a phrase says “times the difference,” put the difference in brackets before multiplying.

Related tags

Algebraic ExpressionsTranslating Words To AlgebraDistributive PropertyPolynomialsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(5(m-n)\)

Why is this the correct answer?

The difference between m and n is \(m-n\). Taking five times this entire difference gives \(5(m-n)\), so option C is correct. In \(5m-n\), only m is multiplied by 5, not the whole difference. Exam tip: When a phrase says “times the difference,” put the difference in brackets before multiplying.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.

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