Positive Rational Numbers

Rational numbers are of two types: positive Rational Numbers and the negative Rational Numbers.

 Here we are looking at positive rational number. We say that a positive rational number is a rational number which has the numerator and the denominator in the form of positive integer. We say that if we have both numerator and the denominator as positive numbers or both the numerator and the denominator as negative numbers, then the rational number is a positive rational number.

When we say that if both the numerator and the denominator are negative numbers, it means that it can be converted into its equivalent form by multiplying the numerator and the denominator by -1 and the resultant rational number is the positive rational number. So if we write 4/7, we observe it is a positive rational number, on another hand if we write -3 / -5, here the rational number looks like a negative rational number, but it is a positive rational number. Thus we come to the conclusion that if the standard form of any of the rational number is in the form of the positive numerator and the denominator, then the rational number is a positive rational number. Also remember all the Natural Numbers, all Whole Numbers, all the Fractions and positive Integers represent the series of the positive rational number. Another thing to be remembered is that all the positive Rational Numbers when marked on the number line represent the numbers on the right side of the number line.

 The sum of two positive Rational Numbers is always a positive rational number. In same way we can say that the product and the quotient of any two rational numbers is always a positive rational number, but it is not true for all subtraction operations.

 

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