Rational Numbers between Two Rational Numbers:
Rational numbers between two given rational numbers, that there are countless rational numbers between any two given rational numbers. This property of rational numbers is known as the dense property.
Suppose we wish to find two rational numbers between and . Since these two numbers have the same denominator. So, we choose their numerators 3 and 6. Integers between 3 and 6 are 4 and 5. Therefore, and are two rational numbers between and such that
Example: Write any three rational numbers between -2 and 0.
Solution We can write
and
Integers between -10 and 0 are -9, -8, -7, -6, -5,...,-1.
are rational numbers between -2 and 0.
We can choose any three of these rational numbers.
A rational number between is | |||
Right Option : D | |||
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