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The ancient greek mathematician Pythagorasbelieved that all numbers were rational (could be written as a fraction), but one of his students Hippasus proved (using geometry, it is thought) that you could not represent the square root of 2 as a fraction, and so it was irrational.
A rational number is a number that can be written as a simple fraction (i.e. as a ratio).
Example 1.5 is a rational number because 1.5 = 3/2(it can be written as a fraction).
A rational number is a number that can be in the form p/q where p and q are integers and q is not equal to zero.
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Is a rational number always a rational number?
As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
Is the sum of a rational number and a rational number rational?
Yes.
Can you multiply an irrational number and a rational number to get a rational number?
Yes, but only if the rational number is 0.
Can a rational number be multiplied by an irrational number and equal a rational number?
Only if the rational number is 0.
How is a rational number that is not an integer different from a rational number that is an number?
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.
