Which of the following are rational numbers? (i)5/15 (ii)-6/23(iii) 17 (iv) -25 (v) 0 (vi) (vii) (viii) (ix) (x)

Question

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(i) ⇒ It is in form where both 5 and 15 are integers and q ≠ 0. Hence, it is a rational number. (ii) ⇒ Both -6 and 23 are integers and the denominator is not zero. Hence, it is a rational number. (iii) 17 ⇒ An integer that can be written as . Hence, it is a rational number. (iv) -25 ⇒ A negative integer that can be written as . Hence, it is a rational number. (v) 0 ⇒ Zero is a rational number because it can be written as . Hence, it is a rational number. (vi) ⇒ Division by zero is undefined; the denominator q cannot be 0. Hence, it is not a rational number. (vii) ⇒ The denominator is zero, which is not allowed in the definition of a rational number. Hence, it is not a rational number. (viii) ⇒ The numerator can be 0 as long as the denominator is a non-zero integer. Hence, it is a rational number. (ix) ⇒ Both are integers and the denominator is not zero (this simplifies to ). Hence, it is a rational number. (x) ⇒ Both are integers and the denominator is not zero. Hence, it is a rational number.

Mathematics

Which of the following are rational numbers? (i)5/15 (ii)-6/23(iii) 17 (iv) -25 (v) 0 (vi) (vii) (viii) (ix) (x)

Rational Numbers

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