Pi is a real number, as all numbers that exist on a number line are real. A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions. edited 7 years ago. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). Real numbers include all rational and irrational numbers; pi is defined as an irrational number. Integers Calculator online with solution and steps. While treating pi as equal to 3.14 is often good enough, the number really continues on forever, a seemingly random series of digits ambling infinitely … There are several categories that refer to types of numbers. (To only 18 decimal places, pi is 3.141592653589793238.) Pi is an irrational number-- 3.14159265.... and on and on forever. The simplest approximation for Pi is just 3. It appears to be impossible to write down with 100% precision in any integral base. Rational numbers are terminating decimals but irrational numbers are non-terminating. My line of thought was more that calculating the sine of such a large x is almost meaningless and most likely a bug in the code that is using the sine function. Solved exercises of Integers. Pi is an irrational number The base doesn't seem to affect the fact that Pi is an irrational number. Detailed step by step solutions to your Integers problems online with our math solver and calculator. Okay, I understand what you are saying and thanks for the pointer to fdlibm. An integer is a whole number like 3 or 5 or 8. If x is so large that it becomes integer, then you can represent only around 6 values of x per sine period. Pi is an irrational number---you can't write it down as a non-infinite decimal. If you had to express pi as an integer it would be 3 (pi rounded to a whole number), but it would no longer be pi. 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