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Question

How to find Rational numbers between any two given numbers?

Pls explain for the following

1) Find the rational numbers between -3 and -2

2) Find the rational numbers between -3/5 and -1/5


Solution

How to find rational numbers between two given numbers?

If m and n be two numbers such that m < n then 1/2 (m + n) is a rational number between m and n.


1)Find the rational numbers between -3 and -2

Ans;Required number = 1/2 (-3 +(-2))
                                    =1/2(-5)
                                    = -1/10 

Hence, -1/10 is a rational number lying halfway between -3 and -2

2) Find the rational numbers between -3/5 and -1/5

   Ans: Required number = 1/2 (-3/5 + (- 1/5))
                                         =(1/2)*(- 4/5)
                                          = - 4/10
Hence, - 4/10 is a rational number lying between - 3/5 and - 1/5.


Mathematics

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