Consider the following collection of numbers 1,(1)/(2),-2,0.5,4(1)/(2),(-33)/(7),0,(4)/(7),0.bar3,22,-5,(2)/(19),0.125 . Write these numbers under the appropriate category. [A number can be written in more than one group] (i) Natural numbers ____________ (ii) Whole numbers __________ (iii) Integers __________ Rational numbers __________ Would you leave out any of the given numbers from rational numbers? Is every natural number, whole number and integer is a rational number ?

Give one example each to the following statements. iv. A number which is natural number, whole number, integer and rational number.

Are all natural numbers whole numbers?

Are all natural numbers are whole numbers?

What is meant by a rational number?

Are the following pairs of statements negations of each other: The number x is not a rational number. The number x is not an irrational number.

Give an example to satisfy the following sentences. All natural numbers are whole numbers but all whole numbers need not be natural numbers.

Are all whole numbers are natural numbers?

State whether the following statements are true or false . Justify your answers . (i) Every irrational number is a real number . (ii) Every rational number is a real number . (iii) Every real number need not be a rational number (iv) sqrt(n) is not irrational if n is a perfect square .

Are the following statements True? Give reasons for your answers with an example. Every integer is a rational number