Question

The reciprocal of a positive rational number is _______

Answer 1

Hint: Before we start solving this question, refer to the basic concepts of rational number, irrational number and its reciprocal. Reciprocal is also known as the “multiplicative inverse” which is simply one of a pair of numbers that, when multiplied together is equal to one.

Complete step-by-step answer:
A rational number is the number which can be expressed as the ratio of two numbers or which can be expressed as the p/q form or as the quotient or the fraction with non-zero denominator whereas, the numbers which are not represented as the rational are known as the irrational number.
Let us take example for the rational number such as –
A. $ \dfrac{3}{4} $ so the reciprocal will be $ \dfrac{4}{3} $
Where the numerator goes to the denominator and the denominator goes to the numerator.
Similarly,
B. $ \dfrac{5}{4} $ so the reciprocal will be $ \dfrac{4}{5} $
So, we can conclude that the reciprocal of the positive number is always positive.
Hence, the reciprocal of a positive rational number is positive.
So, the correct answer is “Positive”.

Note: Always remember the difference between the rational and irrational number, whole numbers, complex numbers and many more. Apply the concepts accordingly. The set of the real numbers is made by combining the set of all the rational numbers and all the set of irrational numbers. The real numbers include natural numbers, whole numbers, integers, and the rational numbers including all the fractions, decimals and repeating numbers and irrational numbers.