What is the value of (49^2)?
Answer and explanation
Correct answer: 2401
Here, \(49^2\) means \(49\times49\). Using \((50-1)^2=50^2-2\times50\times1+1^2=2500-100+1=2401\), the correct answer is 2401. Although 2501 is close to \(50^2\), the square of 49 is 99 less than 2500. Exam tip: use \((a-b)^2=a^2-2ab+b^2\) to calculate squares near a convenient number such as 50.
Frequently asked questions
What is the correct answer to this question?
2401
Why is this the correct answer?
Here, \(49^2\) means \(49\times49\). Using \((50-1)^2=50^2-2\times50\times1+1^2=2500-100+1=2401\), the correct answer is 2401. Although 2501 is close to \(50^2\), the square of 49 is 99 less than 2500. Exam tip: use \((a-b)^2=a^2-2ab+b^2\) to calculate squares near a convenient number such as 50.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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