Rational and Irrational Numbers

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 GET RATIONAL!


At some point, you have probably heard about rational and irrational numbers. The Pythagorean mathematicians of Ancient Greece thought that everything was based on numbers. They thought that the world worked with ratios. 

1/3 is an example of a ratio. The number 0.33333333 (with repeating threes) is a ratio that is 1/3. Hippasus, one of the members of the group, discovered something that would change all mathematics. He found irrational numbers.


"What is this symbol?" you ask. This is the golden ratio, one of the most irrational numbers in the world. The Fibonacci sequence involves adding on to the number before it. 

Here is the sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

An approximation to the golden ratio can be done by dividing a number in the sequence by the number below it (e.g 3/2, 21/13. 89/55)

No matter what we try, we can't represent the golden ratio with a fraction. Hippasus found out about this and changed how we view math.

To recap, a rational number can be shown by a fraction or integer. An irrational number cannot be shown by a fraction, but we can estimate using a fraction.


So...

BE RATIONAL!!

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