Question

Find ten rational number between -$\frac{2}{5}$ and $\frac{1}{2}$. [4 MARKS]

Answer 1

Process : 1 Mark
Result : 3 Marks

The LCM of denominator -5 and 2 = -10. Converting these rational numbers to equivalent rational numbers having common denominator.

$\frac{-2\times 2}{5\times 2}=\frac{-4}{10}=\frac{-4\times 2}{10\times 2}=\frac{-8}{20}$

$\frac{1\times 5}{2\times 5}=\frac{5}{10}=\frac{5\times 2}{10\times 2}=\frac{10}{20}$

Clearly -7, -6, -5.............8, 9 are integers between numerators -8 and 10 of these equivalent rational number. Thus we can take any 10 rational numbers and the numbers are $\frac{-7}{20}$, $\frac{-6}{20}$, $\frac{-5}{20}$,$\frac{-3}{20}$,$\frac{-1}{20}$, 0,$\frac{1}{20}$, $\frac{3}{20}$, $\frac{4}{20}$, $\frac{5}{20}$.