Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
Question
Find five rational numbers between $1$ and $2.$
✓
Answer
Recall that to find a rational number between $r$ and $s,$ you can add $r$ and $s$ and divide the sum by $2,$ that is $\frac{r+s}{2}$ lies between $r$ and $s.$
So, $\frac{3}{2}$ is a number between $1$ and $2.$
You can proceed in this manner to find four more rational numbers between $1$ and $2.$
These four numbers are $\frac{5}{4}$, $\frac{11}{8}$, $\frac{13}{8}$ and $\frac{7}{4}$.
Thus five rational numbers between $1$ and $2$ are $\frac{5}{4}$, $\frac{11}{8}$, $\frac{3}{2}$, $\frac{13}{8}$ and $\frac{7}{4}$.
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