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What is the mathematic expression pi?

It is a transcendental number, which is a kind of irrational number. It is the ratio of the circumference of a circle to its diameter and is approximately 3.14159


What are some modern examples of math that seem to use the same ideas as the ancient greek math?

Pythagorean Theorem would be the first thing to come to mind. Well, this is kind of more related to art/architecture, but there is the golden rectangle and the golden ratio. The golden ratio is represented by the Greek letter phi, which appears as a circle with a slash going through it. It is a value representing the ratio of the lesser to the greater when the ratio of the lesser to the greater is the same as the ratio of the greater to the whole. In Ancient Greek, architects used this technique to create beautiful buildings and works of art, where the ratio of the length to the width of the rectangle in one of the structures (or vice versa) is equal to the golden ratio.


What is the ratio of 22 to 33?

The ratio of 22 to 33 can be simplified by dividing both numbers by their greatest common divisor, which is 11. Therefore, the simplified ratio is 2:3. This means that for every 2 units of 22, there are 3 units of 33.


A number that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal?

It could be what is known as an "irrational number", which is a kind of real number. Alternatively, and at a rather advanced level, it could be a number which is not even a real number.


What does the math term pi mean?

Amongst the many properties of pi is the fact that it is the ratio of the circumference of any circle to its diameter. It is a special kind of irrational number, called a transcendental number. It is roughly equal to 3.14159 (a degree of accuracy that is adequate for most normal purposes) but its value was calculated to 5 trillion digits in Oct 2011. "Pi" (a letter in the Greek alphabet) is the symbol used for the number that is the ratio of the circumference of a circle to the circle's diameter. It's a natural property of circles, and every circle produces the same number: 3.14159... plus more decimal places that never end. Although 'pi' is defined in terms of a property of circles, it crops up in connection with just about every aspect of math, Physics, electronics, etc.