Insert a rational number and an irrational number between the following:
$0$ and $0.1$
$0.04$ is a terminating decimal and also it is lies between $0$ and $0.1 .$ Hence, $0.04$ is a rational number which lies between $0$ and $0.1 .$ Again $0.003000300003 \ldots$ is a non-terminating and non-recurring decimal which lies between $0$ and $0.1 .$ Hence, $0.003000300003 \ldots$ is an irrational number between $0$ and $0.1 .$
Simplify $: \frac{(25)^{\frac{3}{2}} \times(243)^{\frac{3}{5}}}{(16)^{\frac{5}{4}} \times(8)^{\frac{4}{3}}}$
Find five rational numbers between $\frac{2}{7}$ and $\frac{2}{5}$
Simplify $: 2^{-3}+(0.01)^{-\frac{1}{2}}-(27)^{\frac{2}{3}}$
State whether the following statements are true or false
Every whole number is a natural number.
Rationalise the denominator in each of the following
$\frac{5-2 \sqrt{6}}{5+2 \sqrt{6}}$