MATHS PROJECT NUMBER SYSTEMS BY BINDIYA GURUNG,CLASS IX

RATIONAL NUMBERS Positive rational numbers- A rational number whose numerator and denominator are both positive integers or both negative integers is called a positive rational number. Eg- 3/5,-5/-8.

NEGATIVE RATIONAL NUMBERS If in a rational number,one out of its numerator and the denominator is positive and the other is negative, then it is called a negative rational number. Eg—3/11,16/-17 Zero rational number is 0=0/1=0/-1.

RATIONAL NUMBER IN ITS LOWEST TERMS The numerator and denominator of such a rational number in its lowest terms are co-primes. E.g Express 45/60 in its lowest terms. Sol-H.C.F of 45 and 60=15 45/60=3/4(dividing both terms by 15)

EQUIVALENT RATIONAL NUMBERS We know that the rational numbers do not have a unique representation in the form p/q, where p & q are integers and q is not equal to 0 such rational numbers are called equivalent rationals(or fractions).

DECIMAL REPRESENTATION OF A RATIONAL NUMBER Rational numbers- A rational number is either a terminating decimal or a non-terminating but recurring(repeated) decimal. In other words, a terminating decimal or a non-terminating decimal is a rational number.eg.0.33…, …….

IRRATIONAL NUMBERS A number S is called irrational if it cannot be written in the form p/q where p&q are integers and q is no equal to 0. Aa the rational numbers are infinite, so are the irrational numbers are also infinite.

REAL NUMBERS The set of rational numbers and irrational numbers form a set of real numbers. Every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number.