on of rational mambers. The collection of rational numbers is denotedRational' comes from the word ratio' and Q comes from the word 'quotientmay recall the definition of rational numbersshere p and q are integers and q *0.(Why do we insist that g 07)ce thai all the numbers now in the bag can be written in the form E, whereashere pa-25gers and q 0. For example,-25 can be written as; here p -2natural numbers, whole~gareíand integers.that the rational numbers do not have a unique representation in2420 5and so on These sne equinalent rational sumbers tor fractions). However.om ? where p and q areand g e0. For example.Forexample, i . 2.10.25are equivalent rationalay that 7 is a rational numher or when e rsthe numberwe assuse that q * 0 and that p and q have no common factors other than 1is, p and g are co-prime) So on the number line, among the infinitely manyNow lieg us solve some examples about thedifferent types of nambers, which youin earlier classes1 tAue the following statennents truc orber is a natural numberis a rational numberis an inegers a whiole aumber but not a natural oamber.gan be espressed in the form and so it is aespressed in the fom