## 1.6 Decimal Representation of Irrational Numbers [10m]

EXERCISE: Write three numbers whose decimal expansions are non-terminating non-recurring.

FACT: There are infinite irrational numbers between any two rational numbers.

EXERCISE: Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

SELF PRACTICE: Find three different irrational numbers between the rational numbers:

a)    $\frac{3}{7}$ and $\frac{10}{11}$.

b)    $\frac{2}{5}$ and $\frac{7}{11}$.

c)   $\frac{9}{11}$ and $\frac{12}{13}$.

Discussion