Answer :

(a). A rational number is any number that can be expressed as a quotient or fraction p/q of two integers, where p is a numerator and q is a denominator, provided that p is non-zero i.e., p ≠ 0.

Any three rational numbers can be 1, -6.6, 4/5.

(this is because 1 can be written as 1/1, -6.6 can be written as -66/10 or -33/5 & 4/5 is already in p/q form)

(b). Rational number can be defined easily, as basically any sort of number that can possibly be written in a p/q form, numerator is p and denominator is q (q is non-zero).

Since, a rational number is merely an integer or fraction, we can say that we can find infinite rational numbers between two distinct numbers. It might be difficult to obtain rational numbers minutely from a number line graph and hence, formulas are used to find rational numbers.

Its range is from negative numbers in an axis to positive numbers, including zero. Infact all whole numbers, all positive and negative numbers are rational numbers.

Some examples:

1/2 is a rational number (p/q form, where q ≠ 0)

0.50 is a rational number (1/2)

1 is a rational number (1/1)

2.12 is a rational number (212/100)

-6.5 is a rational number (-13/2)

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