Q: How many rational numbers are between a and b?

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There are countably infinite rational numbers between any two numbers.

Take the average of the two. The average of two rational numbers is (a) rational, and (b) between the two numbers.

A rational number is a number that can be written in the form a/b, where "a" and "b" are integers and b is not equal to zero. For example, whole numbers are rational numbers.

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.

Subtract rational number A from the other rational number B. If the answer is> 0 then B is bigger than A= 0 then B is equal to A< 0 then B is smaller than A

Related questions

There are countably infinite rational numbers between any two numbers.

There are countably infinite (aleph-null) rational numbers between any two rational numbers.

Take the average of the two. The average of two rational numbers is (a) rational, and (b) between the two numbers.

Suppose the two rational numbers are x and y.Then (ax + by)/(a+b) where a and b are any positive numbers will be a number between x and y.

Yes. A rational number is one that you can write as a fraction a/b, with integers a and b (b not equal to zero). For a whole number, set b = 1. For example, 5 = 5/1, so it is a rational number.

A rational number is a number that can be written in the form a/b, where "a" and "b" are integers and b is not equal to zero. For example, whole numbers are rational numbers.

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.

Subtract rational number A from the other rational number B. If the answer is> 0 then B is bigger than A= 0 then B is equal to A< 0 then B is smaller than A

No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.

Rational numbers are numbers that can be expressed as a ratio of two integers, a/b, where b is not zero.

A.(Integers) (Rational numbers)B.(Rational numbers) (Integers)C.(Integers) (Rational numbers)D.(Rational numbers) (Real numbers)

Numbers in the form of a/b, where a and b are integers, are called rational numbers. 3.1415926531 can be written as 31415926531/10000000000. So it is a rational number.