Quite simply, there are numbers that can't be expressed exactly by a rational number, including the square root of 2, 3, 5, 6, etc. (in fact of any positive integer that doesn't happen to be a perfect square), pi, and e.
The Real numbers
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
Casually, irrational numbers have the decimal digits recurring to infinity, AND there is no regular order in the decimal digits.
No. If it was a rational number, then it wouldn't be an irrational number.
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
They are irrational numbers!
They are numbers that are infinite
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Casually, irrational numbers have the decimal digits recurring to infinity, AND there is no regular order in the decimal digits.
Yes, no irrational numbers are whole numbers.
No. Irrational numbers are real numbers, therefore it is not imaginary.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
In order to convert decimals into percentages In order to convert decimals into fractions To distinguish irrational numbers from rational numbers
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
All irrational numbers are not rational.
There are an infinite number of irrational numbers.
False. Irrational numbers are real numbers.