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Oh honey, we're talking about Irrational Numbers here. They go on and on forever without settling into a repeating pattern like a broken record. Just like my love for a good martini, these numbers are infinite and unpredictable.
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Are all decimals irrational numbers?
only decimals that never end and never repeat are irrational. a decimal is rational if it can be written as a fration or ratio of two numbers. for example: .3434343434343434... 100x=34.34343434... -x 99x=34 34/99
Why do decimals repeat?
Decimals repeat because there is no definite end. In these, you can end the repeat by rounding up... (Exp: 4.44444444444444... would be 4.45 or 4.445 or 4.4445, etc.
Does pi ever repeat or end?
The decimal digits of Pi never end; they continue infinitely. The digits also will never repeat. These are characteristics of irrational numbers. Rational numbers have decimal fractions that either come to an exact end, or they fall at some point into an infinitely repeating pattern. 1/5 equals .25 exactly, and 1/3 has a repeating decimal fraction of .3333_. So far pi has been calculated out to at least 2.7 trillion decimal places, and since irrational numbers go on for infinitely many decimal places, we are nowhere near the end (and never will be, however hard we try). To keep things in perspective, by the time you reach 6 or 8 decimal places, you have pi to a tolerance good enough for almost any application we could ever imagine using on a practical level. If we ever need more decimal places than 8, we can go to the above calculation where there are a few waiting in the wings.
Do numbers never end?
No they never end because if you said that one particular number was the last one, someone else could add one to it and say that one is bigger.
What is the rational numbers between -5.76 and -5.77?
0.009999999999999787
