Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers3 Marks
Question
Find two rational number between -3 and -2.
✓
Answer
First rational number between -3 and -2 $=\frac{1}{2}[-3+(-2)]$ $=\frac{1}{2}(-3-2)$ $=\frac{1}{2}(-5)$ $=\frac{-5}{2}$ $\therefore-3<\frac{-5}{2}<-2$Second rational number between -3 and $\frac{-5}{2}$
$=\frac{1}{2}\Big[-3+\Big(\frac{-5}{2}\Big)\Big]$ $=\frac{1}{2}\Big[-3-\frac{5}{2}\Big]$ $=\frac{1}{2}\Big[\frac{-6-5}{2}\Big]$ $=\frac{1}{2}\times\frac{-11}{2}$ $=\frac{-11}{4}$
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