Number System and Coordinate Geometry :grade 9

Every rational number is

• a natural number

• a whole number

• an integer

• a real number

The decimal representation of an irrational number is

• always terminating

• either terminating or repeating

• either terminating or non-terminating

• neither terminating nor repeating

 $\frac{1}{\sqrt{4}-\sqrt{3}}=$  

•  $2+\sqrt{3}$  

•  $2-\sqrt{3}$  

• 1

• none of these

If  $x=7+4\sqrt{3},then\ x+\frac{1}{x}$  

•  $8\sqrt{3}$  

•  $14$  

•  $49$  

•  $48$  

The simplest form of 1. $\overline{6}$  

•  $\frac{833}{500}$  

•  $\frac{8}{5}$  

•  $\frac{5}{3}$  

• none of these

An irrational number between 5 and 6 is

• $\frac{5+6}{2}$

• $\sqrt{5+6}$

• $\sqrt{5\times6}$

• none of these

If  $\frac{\sqrt{3}-1}{\sqrt{3}+1}=a-b\sqrt{3\ },\ find\ a\ and\ b$  

• 3,2

• 2,1

• 0,1

• 3,4

 $\left(\frac{81}{16}\right)^{-\frac{3}{4}}\left(\frac{64}{27}\right)^{-\frac{1}{3}}=$  

• 3

• 1/9

• 2/9

• 4

Is zero a rational number

• yes

• no

• none of these

The decimal expansion of 7/8 is

• 3.33...

• 0.875.....

• 0.875

• 0.1428