Discussion
A student listed the following properties of Rational Numbers. Which one/ones is/are correct ?
(a) A rational number includes integers.
(b) 0 (zero) is not a rational number.
(c) All fractions are rational numbers.
Choose the correct option :
Answer: A
Statements a and c are correct, so the answer is (a) and (c).
A rational number is any number that can be written as p/q with p and q integers and q not zero. Every integer n is n/1, so the rational numbers include the integers (a). Every fraction (a/b with whole numbers, b not zero) is of this form, so all fractions are rational (c).
Statement b is false: 0 = 0/1 is a rational number. Options naming b are therefore wrong, and 'Only (c)' leaves out the true statement a.
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