When the numbers \(\frac{5}{2}, \frac{12}{11}, \frac{5}{4}, \frac{7}{6}\) are placed on the number line, which of the following will be nearest to 0?(a) \(\frac{5}{4}\)(b) \(\frac{12}{11}\)(c) \(\frac{7}{6}\)(d) \(\frac{5}{2}\)This question was posed to me by my college professor while I was bunking the class.My question is taken from Representation of Numbers on Number Line topic in portion Rational Numbers of Mathematics – Class 8

When the numbers \(\frac{5}{2}, \frac{12}{11}, \frac{5}{4}, \frac{7}{6

1.	When the numbers \(\frac{5}{2}, \frac{12}{11}, \frac{5}{4}, \frac{7}{6}\) are placed on the number line, which of the following will be nearest to 0?(a) \(\frac{5}{4}\)(b) \(\frac{12}{11}\)(c) \(\frac{7}{6}\)(d) \(\frac{5}{2}\)This question was posed to me by my college professor while I was bunking the class.My question is taken from Representation of Numbers on Number Line topic in portion Rational Numbers of Mathematics – Class 8
Answer» Right ANSWER is (b) \(\frac{12}{11}\) To elaborate: All the numbers given to us are positive and according to the sign convention they WOULD be placed on the right side of the 0. Here we have 4 numbers which are \(\frac{5}{2}\) = 2.5 \(\frac{7}{6}\) = 1.67 \(\frac{5}{4}\) = 1.25 \(\frac{12}{11}\) = 1.09 Among these four decimal numbers the smallest is 1.09 which is decimal representation of \(\frac{12}{11}\), this will be nearest to the CENTER i.e. 0.

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