If \(a=\sqrt{26}\), \(b=\frac{51}{10}\), and \(c=5.11\), which of these numbers will lie farthest to the right on the number line?
Answer and explanation
Correct answer: \(c\)
For comparison, \(\sqrt{26}\approx 5.099\), while \(\frac{51}{10}=5.1\) and \(c=5.11\). Thus, \(5.11>5.1>5.099\), so \(c\) lies farthest to the right on the number line. The values of \(a\) and \(b\) are close, but they are not equal. Exam tip: Convert the numbers to comparable decimal forms before ordering them.
Frequently asked questions
What is the correct answer to this question?
\(c\)
Why is this the correct answer?
For comparison, \(\sqrt{26}\approx 5.099\), while \(\frac{51}{10}=5.1\) and \(c=5.11\). Thus, \(5.11>5.1>5.099\), so \(c\) lies farthest to the right on the number line. The values of \(a\) and \(b\) are close, but they are not equal. Exam tip: Convert the numbers to comparable decimal forms before ordering them.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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