SOLUTION: a rational number has a decimal which either terminates or repeats endlessly, while an irrational number has a decimal which continues endlessly and without repeating. is this tru

Algebra ->  Number-Line -> SOLUTION: a rational number has a decimal which either terminates or repeats endlessly, while an irrational number has a decimal which continues endlessly and without repeating. is this tru      Log On


   



Question 97835: a rational number has a decimal which either terminates or repeats endlessly,
while an irrational number has a decimal which continues endlessly and without repeating. is this true or false?

Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
This is true
a rational number has a decimal which either terminates or repeats endlessly,
.
You can always express it in the form of a/b
for eg 2.341= 2341/1000
1.333333..... = 10/3
whereas a number of the form 1.237803459....if the decimal does not repeat we cannot put it in the form of a/b and hence irrational