Number System

State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

• True, since the collection of whole numbers contains all the natural numbers.

• True, since collection of real numbers is made up of rational and irrational numbers

• False, for example – 2 is not a whole number.

• False, for example 2 is real but not irrational.

(ii) Every integer is a whole number.

• False. For example, = 2 is a rational number.

• False, for example 1/2 is a rational number but not a whole number

• False, for example – 2 is not a whole number.

• False, no negative number can be the square root of any natural number

(iii) Every rational number is a whole number.

• False, no negative number can be the square root of any natural number

• False, for example 1/2 is a rational number but not a whole number.

• False, for example 2 is real but not irrational.

• True, since collection of real numbers is made up of rational and irrational numbers.

 $\frac{56}{1000}$  decimal form is

• 0.56

• 0.056

• 0.0056

• 5.6

every rational number is

• a natural number

• an integer

• a whole number

• a real number

question 10

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Which of the following is irrational?

OP is equal to

•  $\sqrt{2}$  

•  $\sqrt{3}$  

•  $\sqrt{5}$  

•  $\sqrt{7}$  

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

•  $\frac{1}{14}$  

•  $\frac{2}{21}$  

•  $\frac{5}{14}$  

•  $\frac{5}{21}$  

Simplify  $\sqrt{125}\ \times\sqrt{5}$  

• 5

• 25

• 35

• 50