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How many real numbers are there between 3 and 8 (Including 3 and 8)?(a) Six(b) Four(c) Infinite(d) FiveThis question was posed to me during an interview.My doubt stems from Irrational Numbers in division Number Systems of Mathematics – Class 9

Answer»

The correct choice is (c) INFINITE

Explanation: There are infinite numbers between 3 and 8 like 3.45, 5.56, 5.95, 6, 7.41…. and so on. All these numbers are real according to the definition of real numbers

{Real numbers} = {Rational numbers} + {IRRATIONAL numbers}

Hence we can SAY that there are infinite real numbers between any TWO integers.



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