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All Irrational Numbers are non-recurring. If a number is recurring, it is rational.
Examples of irrational numbers include the square root of 2, most square roots, most cubic roots, most 4th. roots, etc., pi, e, and most calculations involving irrational numbers.
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Which statements are true for irrational numbers written in decimal form?
The decimal representation in infinite, non-recurring.
Is the decimal expansion of an irrational number is finite?
No. It must be infinite AND non-recurring.
Is 1.24562... an irrational number?
Irrational numbers are non-repeating, non-terminating decimals. If your number repeats, it's rational. If it doesn't, it's irrational.
Is 3.14 rational and irrational at the same time?
No number can be rational and irrational at the same time. 3.14 is the ratio of 314:100 and so is rational. HOWEVER, 3.14 is also a common approximation for pi, which is an irrational number. All irrational numbers have infinite, non-recurring decimals and so are often approximated by rationals.
Are irrational numbers always non terminating?
yes
