Number System Class 9

What is a possible integer that could be between -6 and 2 on a number line?

• 4
• -8
• 3
• -3

What is the value of the expression? 
-27 times 1/3 

• 81
• 9
• -9
• -81

A non-repeating or non-terminating decimal is classified as ________________.

• rational, real

• irrational, real

• integer, rational, real

• whole, integer, irrational, real

Classify the number:

• integer, rational, real

• rational, real

• irrational, real

• whole, integer, rational, real

Which of the following is irrational?

• 
  

  $\sqrt{\frac{4}{9}}$
  

• $\sqrt{\frac{12}{3}}$

• $\sqrt{7}$

• $\sqrt{81}$

 $2\sqrt{3}+\sqrt{3}$  is equal to

•  $2\sqrt{6}$  

• 6

•  $3\sqrt{3}$  

•  $4\sqrt{6}$  

The number obtained on rationalising the denominator of  $\frac{1}{\sqrt{7}-2}$  is

•  $\frac{\sqrt{7}+2}{3}$  

•  $\frac{\sqrt{7}-2}{3}$  

•  $\frac{\sqrt{7}+2}{5}$  

•  $\frac{\sqrt{7}+2}{45}$  

After rationalising the denominator of 

 $\frac{7}{3\sqrt{3}-2\sqrt{2}}$  , we get the denominator as

• 13

• 19 

• 5

• 35

the number is (  $3-\sqrt{3}$ )( $3-\sqrt{3}$ )

• an irrational number

• a rational number

• not a natural number

• none of these

 $A\ rational\ number\ between\ \frac{1}{7}\ and\ \frac{2}{7}\ is$  

•  $\frac{1}{14}$  

•  $\frac{2}{21}$  

•  $\frac{5}{14}$  

•  $\frac{5}{21}$