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The DENSITY property of rational numbers states that:
ARational numbers are heavier than irrationals
BBetween any two distinct rational numbers there are infinitely many other rational numbers
CRational numbers occupy more space
DOnly one rational number exists between two integers
Answer & Solution
Correct answer: B. Between any two distinct rational numbers there are infinitely many other rational numbers
This is the density property: between any two distinct rationals a and b, there are infinitely many rationals. A simple way to find one: take their average (a + b)/2. Between 1 and 2 lies 3/2; between 1 and 3/2 lies 5/4; you can keep finding more without limit.
Related questions
The absolute value of -5/3 is:The set of rational numbers Q is CLOSED under all of the following operations EXCEPT:To divide (2/3) ÷ (3/10), the operation is equivalent to:To add 2/5 + 3/10, the first step is to:Which of the following pairs of rational numbers are EQUAL?A rational number is any number that can be expressed as:Using Brahmagupta's rules, the value of (-3) × (-4) is:The set of INTEGERS is denoted by the symbol: