Yes. If a decimal terminates, then the number can be represented as a fraction because each decimal position represents a specific denominator. (tenths, hundredths, etc). If it repeats, that's an indication of integer division with a remainder, which can be rewritten as an integer over an integer.
Non-terminating, not repeating decimals are irrational. However, that is not a practical test, because it would take you an eternity to examine a single irrational number. (It could terminate after the quadrillionth digit, or the first Google of digits could repeat.)
Terminating and repeating decimals are rational numbers.
Irrational Numbers.
irrational numbers
Non-terminating, non-repeating decimals.
No. Numbers with terminating or repeating decimals are rational.
Irrational Numbers.
Yes.
If they are non-terminating and there is a repeating pattern, then they are rational. If they are non-terminating and there is no repeating pattern, as in pi, they are irrational.
If there's a repeating sequence then it's a rational number.
Non-repeating, non-terminating decimals.
No because non-repeating decimals may be terminating.But suppose you consider terminating decimals as consisting of repeating 0s. That is, 1/8 = 0.125 = 0.12500....Then all non-repeating decimals are irrational.
Rational numbers - can be expressed as a fraction, and can be terminating and repeating decimals. Irrational numbers - can't be turned into fractions, and are non-repeating and non-terminating. (like pi)