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What are repeating and non repeating decimals?
A repeating decimal is a decimal that, well, repeats itself! Like .33333333333333....... The threes never end, they just keep going. Non-reapeting are decimals like .5 or .3 or .57. They end! :)
What does a straight line over a number mean?
if used in a decimal it means that the number it is over is repeating ex) 27.33333333333333 instead you could write 27.3 with a line over the 3
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.
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 are complex fractions?
They could be fractions in which the numerator or the denominator, or both, are complex numbers.
