Karen Morrison and Nick Hamshaw Solutions for Exercise 6: Exercise 9.6

Show that  $0.427$  is a rational number.

Show that  $3.\dot{1}$$\dot{4}$  is a rational number.

Find a number in the interval $-1<x<3$ so that $x$ is a rational number.

Find the value of $x$ number in the interval $-1<x<3$ and  $x$ is a real number not rational.

Find the value of $x$ number in the interval $-1<x<3$ and  $x$ is an integer.

Find the value of $x$ number in the interval $-1<x<3$ and  $x$ is a natural number.

Which set has maximum members : rational number or irrational numbers ? Why ?

What is imaginary numbers. Find out what these are and give one example.