H Is a rational number (where the digits 12 are assumed to repeat forever)? There are four major steps in Niven's proof that π is irrational The steps are 1 Assume π is rational, π = a/b for a and b relatively prime 2 Create a function f(x) that depends on constants a and b 3 After much work, prove that integral of f(x) sin(x) evaluated from 0 to π must be an integer, if π is rational 4Rational numbers embody all of the integers, all of the vulgar fractions, all of the terminating decimals (ones that finish, like 085 , and all of the recurring decimals, in contrast to π ) −5 in an integer and isn't irrational Is negative 7 an irrational number?
Victoria State Government Education And Training Math Curriculum Companion
