What is the correct value of (998^2)?
Answer and explanation
Correct answer: 996004
Since 998 is 2 less than 1000,
\((998)^2=(1000-2)^2=1000^2-2\times1000\times2+2^2=1000000-4000+4=996004\). Therefore, option A is correct. In option D, the sign of the middle term has effectively been taken incorrectly. Exam tip: use \((a-b)^2\) to square numbers close to 1000.
Frequently asked questions
What is the correct answer to this question?
996004
Why is this the correct answer?
Since 998 is 2 less than 1000,
\((998)^2=(1000-2)^2=1000^2-2\times1000\times2+2^2=1000000-4000+4=996004\). Therefore, option A is correct. In option D, the sign of the middle term has effectively been taken incorrectly. Exam tip: use \((a-b)^2\) to square numbers close to 1000.
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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