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To calculate (1002^2), how is it good to write (1002)?

Answer and explanation

Correct answer: \(1000+2\)

Writing \(1002=1000+2\) allows direct use of the identity \((a+b)^2=a^2+2ab+b^2\). Since \(1000\) is a convenient round number, the calculation becomes easy. \(1000-2=998\), so it does not represent the given number. Exam tip: for squaring, express a number using a nearby power of 10 whenever possible.

Related tags

Algebraic IdentitiesSquare Of A BinomialMental CalculationClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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