Question

Find the answer to zero point twenty five repeating plus start fraction three over five end fraction and select the correct answer below. Also, is the sum of two nonzero rational numbers classified as rational or irrational?
422 over 495, rational
0.8525…, irrational
seventeen over twenty, rational
start fraction three over five end fraction square root of 0.25 end square root comma irrational

Answer 1

9514 1404 393

Answer:

  (a) 422 / 495, rational

Step-by-step explanation:

The two-digit repeating decimal 0.2525... is equivalent to those two digits over an equal number of 9s: 25/99.

When 3/5 is added to that, the result is ...

  25/99 +3/5 = (25(5) +99(3))/(99·5) = (125 +297)/495 = 422/495

The sum of two rational numbers is always rational.