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Question

Find five Rational numbers between 1 and 2.


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Solution

Compute the required rational numbers:

A rational number can be defined as, any number which can be expressed in the form of pq where q0.

Given two numbers are 1 and 2.

We know that the rational number between a and b is obtained by a+b2, so,

  1. Rational number between 1 and 2 is 1+22=32
  2. Rational number between 1 and 32is 1+322=54
  3. Rational number between 1 and 54 is 1+542=98
  4. Rational number between 2 and 32 is 2+322=74
  5. Rational number between 2 and 74 is 2+742=158

Hence, the five rational numbers between 1 and 2 are 32, 54,98,74 and 158.


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