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An irrational number is one that can not be written as a/b where a and b are integers
(whole numbers such as 5, -2, and 831).
Mathematically: A quantity which can not be expressed as the ratio of two integers.
Real numbers are any number you can find in the real world. For example:
-the square root of 2
-the length of a line (any line)
-pi (3.1415..........)
-The number of people in a flight
-The time it takes the water to boil
A more formal definition would be: Any number which does not have an imaginary component.
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Why is every rational number a real number?
There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
A set of numbers combining rational and irrational numbers?
The Real numbers
What are the factors and prime factors of pi?
Pi is irrational. Irrational numbers, by definition, have no factors.
Are real numbers rational numbers?
Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.
Does the set of rational number overlap the set of irrational numbers why?
By definition, the two sets do not overlap. This is because the irrationals are defined as the set of real numbers that are not members of the rationals.
