only decimals that never end and never repeat are irrational. a decimal is rational if it can be written as a fration or ratio of two numbers.
for example: .3434343434343434...
100x=34.34343434...
-x
99x=34
34/99
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.333333333...; .999999999999...; .666666666666666...; etc. All irrational numbers, basically.
irrational numbers
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.
All natural numbers are rational numbers. No irrational numbers are natural numbers.