Is zero a rational sCan you write it in the form , where p and q are int1.and qu 0?Find six rational numbers between 3 and 42.Find five rational numbers between 5 and 33.4. State whether the following statements are true or false. Give reasons for your an(0 Every natural number is a whole number(0) Every integer is a whole number() Every rational number is a whole number1.2 Irrational NumbersWe saw, in the previous section, that there may be numbers on the number linare not rationals. In this secotion, we are going to investigate these numbers. Softhe numbers you have come across, are of the form P, where p and q are inand g sr0, So, you may ask: are there numbers which are not of this form?The Pythagoreans in Greece, followers of the famousmathematician and philosopher Pythagonas, were the firstto discover the numbers which were not rationals, around400 BC These numbers are called irrational numbersUrrationals), because they cannot be written in the form fa ratio of ieteyers. There are many myths surrounding theof irrational oumbers by the Pythagorean,of Croton In all the mytlis, Hippacus has anHi