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A rational number is one which can be expressed as a ratio (or a fraction) of two numbers, i.e. a/b. Numbers which cannot be expressed like this, such as the constants e and π (pi), are irrational.
Other numbers which are irrational include:
- the square root of 2, or any other number that isn't a perfect square
- the golden ratio φ, the ratio of two numbers (we'll call them A and B, A being larger than B) such that the ratio of A + B to A is the same as the ratio of A to B
- eπ
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A negative integer and a rational number?
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered. There are many arithmetical operations that can combine a negative integer and a rational number.
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.
What is the mathematical term to describe a number which can be exactly represented as one integer divided by another?
Thart is called a rational number. Rational not in the sense of being sane or reasonable, but in the sense of being a ratio, which is another name for one number divided by another 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.
