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Why repeating decimals happen?
A repeating decimal is any rational number whose decimal representation does not terminate after a given number of digits. As only a very small quantity of the rational numbers terminate in their decimal representation, practically any rational number picked at random will be a repeating decimal.
Is 17.1 rational?
Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.
Is 0.10100100010000 a rational number?
Since it has a terminating decimal (or binary or to any other rational base) representation, it must be rational.
Is 5.232323232323232323 a rational number?
To be a rational number, it must be able to be expressed as a fraction(i.e., p/q) where q is any number except zero (it can be 1). Your number can be expressed as 5232323232323232323/1000000000000000000 So it is rational.
What number produces a rational number when added to 15?
Any other rational number.
