Number Systems

There are .................. rational numbers between any two rational numbers.

• none

• one

• two

• infinite

3.14159265 is ...................... number.

• Natural

• Whole

• Rational

• Irrational

 $\pi$  is ......................... number.

• Rational

• Irrational

• imaginary

• complex

 $\frac{2}{\sqrt{3}}$  Rationalise the denominator:

•  $\frac{2}{3}$  

•  $\frac{\sqrt{3}}{3}$  

•  $\frac{2\sqrt{3}}{3}$  

•  $\frac{2}{9}$  

 $8+\sqrt{2}$  is ..................... number

• an integer

• an irrational 

• a rational

• None of these

 $\frac{3x^0-2}{x^0+1}$  on simplification becomes

• 1

• 2

• 3

•  $\frac{1}{2}$  

 $7^{\frac{1}{2}}8^{\frac{1}{2}}$  is equal to

•  $\left(56\right)^{\frac{1}{2}}$  

•  $\left(28\right)^{\frac{1}{2}}$  

•  $\left(15\right)^{\frac{1}{2}}$  

•  $\left(42\right)^{\frac{1}{2}}$  

 $\frac{56}{1000}$  decimal form is

• 0.56

• 0.056

• 0.0056

• 5.6

Every point on a number line represents

• a natural number

• a rational number

• one and only one real number

• an irrational number

 $15\sqrt{15}\div3\sqrt{3}=$  

•  $5\sqrt{3}$  

•  $3\sqrt{5}$  

•  $5\sqrt{5}$  

•  $3\sqrt{3}$