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find any 2 rational numbers between 4 and 9/2

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CBSE

Mathematics

Grade 9

Rational numbers between two r...



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Find the four rational numbers between 1 and 2.



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Hint: The rational number between a and b is $\dfrac{{(a + b)}}{2}$, use this equation to find the rational numbers between the given two numbers.

Complete step-by-step answer:

Here we have to find 4 rational numbers between 1 and 2.

As, we know, the rational number between a and b is given by, $\dfrac{{(a + b)}}{2}$

Hence, the rational number between 1 and 2 is $\dfrac{{(1 + 2)}}{2} = \dfrac{3}{2} = 1.5$

Rational number between 1 and 3/2 is $\left[ {\dfrac{{1 + \left( {\dfrac{3}{2}} \right)}}{2}} \right] = \dfrac{5}{4} = 1.25$

Rational number between 1 and 5/4 is $\left[ {\dfrac{{1 + \left( {\dfrac{5}{4}} \right)}}{2}} \right] = \dfrac{9}{8} = 1.125$

Rational number between 3/2 and 2 is $\left[ {\dfrac{{\left( {\dfrac{3}{2}} \right) + 2}}{2}} \right] = \dfrac{7}{4} = 1.75$

Therefore, four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4.