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What type of number is pi?
pi = 3.141592..... ( recurs to infinity). 'pi' is an IRRATIONAL number, which means it CANNOT be converted to a RATIO(Fraction). Casually, irrational numbers are those where the decimals recur to infinity AND there is no regular order in the decimal digits. Compare pi = 3.141592.... IRRATIONAL (Irregular order of decimal digits) but 1/3 = 0.3333.... RATIONAL (Regular order of decimal digits). NB When given pi = 3.14 , 3.1416 , 22/7 , these are only APPROXIMATIONS and NOT equalities.
What is the decimal expansion of an irrational number?
A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.
What type of number cannot be written as a fraction where p and q are integers and q is not equal to zero?
Irrational numbers. A good example of this is pi. If you were to write out pi as a decimal, the digits after the decimal point would go on forever.
What is the most number of decimal places pi has been calculated?
The longest calculation as of December 2013 goes to 12.1 trillion digits.
What is the decimal form of pi?
the decimal form of pi is 3.14
