Lelin07, I disagree with you that all non-repeating, non-recurring decimals are irrational.

 

0.25 = 1/4 WHICH IS RATIONAL.

0.4 = 2/5 IS RATIONAL.

 

Again, repeating, recurring decimal nos can also be rational.

 

0.3333333.......... = 1/3

0.6666666.......... = 2/3

 

Rational nos can be expressed in p/q form where p & q are relatively co - prime integers whereas irrational nos can't be expressed in such form.