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3 rational numbers between a and b a is less than b? - Answers

If a and b are rational, then a + p(b-a) where p is any number between 0 and 1, is rational and lies between a and b. So pick any 3 values for p. If a and b are not rational, then find rationals u and v such that a < u < v < b and repeat as above. Cantor proved that between any two real numbers there are an infinite number of rationals which ensures the existence of u and v.



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3 rational numbers between a and b a is less than b? - Answers

https://math.answers.com/math-and-arithmetic/3_rational_numbers_between_a_and_b_a_is_less_than_b

If a and b are rational, then a + p(b-a) where p is any number between 0 and 1, is rational and lies between a and b. So pick any 3 values for p. If a and b are not rational, then find rationals u and v such that a < u < v < b and repeat as above. Cantor proved that between any two real numbers there are an infinite number of rationals which ensures the existence of u and v.



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https://math.answers.com/math-and-arithmetic/3_rational_numbers_between_a_and_b_a_is_less_than_b

3 rational numbers between a and b a is less than b? - Answers

If a and b are rational, then a + p(b-a) where p is any number between 0 and 1, is rational and lies between a and b. So pick any 3 values for p. If a and b are not rational, then find rationals u and v such that a < u < v < b and repeat as above. Cantor proved that between any two real numbers there are an infinite number of rationals which ensures the existence of u and v.

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      If a and b are rational, then a + p(b-a) where p is any number between 0 and 1, is rational and lies between a and b. So pick any 3 values for p. If a and b are not rational, then find rationals u and v such that a < u < v < b and repeat as above. Cantor proved that between any two real numbers there are an infinite number of rationals which ensures the existence of u and v.

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