Is 0.571428 a rational or irrational number?
2 Answers
It is a rational number.
Explanation:
It is a rational number. Bcoz it is terminating & non-recurring.
Rational, whether you meant
Explanation:
Any terminating or repeating decimal is rational.
If by
571428/1000000 = (color(red)(cancel(color(black)(4))) * 142857)/(color(red)(cancel(color(black)(4))) * 250000) = 142857/250000
If by
0.bar(571428) = 0.571428571428571428...
then note that:
(1000000-1)0.bar(571428) = 571428.bar(571428)-0.bar(571428) = 571428
So:
0.bar(571428) = 571428/(1000000-1) = 571428/999999 = (color(red)(cancel(color(black)(142857))) * 4)/(color(red)(cancel(color(black)(142857))) * 7) = 4/7