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.
Frequently asked questions
What is the correct answer to this question?
\(1000+2\)
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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