Rational and Irrational Numbers
Rational Numbers: The rational number is expressed as frational form i.e. m/n are callled rational numbers. Here , m and n are integers but n is not equal to zero . eg., 5/2 is a rational number it means that 5 is divided by 2 . Comparison of Rational numbers : For any pair of number line the number to the lest is smaller that the other. Also , if the numeraror and the denominator of a rational number is multiplied by any non zero number then the value of rational number does not change. It remains the same . That is a/b = ka/kb , (k ≠ 0). eg ., Compare the number 5/4 and 2/3 . write using the proper symbol of <, > , =. solution : 5/4 = 5 х 3 / 4 х 3 = 15/12 2/3 = 2 х 4 /3 х 4 = 8/12 15/12 > 8/12 ∴ 5/4 > 2/3 Decimal Representation of Rational Numbers : If we use decimal fractions which dividing the numerator of a rational numbe by its denominator , we get the decimal representation of a rational numbe . For example 5/2 = 2.5 .