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Which rational number with denominator 2 lies on the number line between the irrational numbers $2$ (about 1.414) and $3$ (about 1.732)?

Class 9Real Numbers on the Number LineNumber Systems

A $\frac{3}{2}$
B $\frac{5}{2}$
C $\frac{1}{2}$
D $\frac{7}{2}$

Step-by-Step Solution

\frac{3}{2} = 1.5

, which lies between 1.414 and 1.732. The others (2.5, 0.5, 3.5) are outside the interval.

Answer: A)

\frac{3}{2}

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