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.333333333...; .999999999999...; .666666666666666...; etc. All Irrational Numbers, basically.
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Numbers that cannot be expressed as terminating or repeating decimals?
irrational numbers
A repeating decimal is a real number?
Yes repeating decimals are real numbers. They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction. Nonreal numbers are imaginary numbers which are expressed with i, or sqrt(-1).
Why are repeating decimals rational numbers?
Because repeating decimals can be written as simple fractions.0.22222 repeating = 2/9The formal definition of a rational number is a number that can be in the form p/qwhere p and q are integers and q is not equal to zero.
Are decimals in a fraction always rational numbers?
There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.
Is 0.16 repeating irrational?
No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.
