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
Irrational Numbers.
No. Numbers with terminating or repeating decimals are rational.
Non-terminating, non-repeating decimals.
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)