Question

Match the number with the correct description.
0.789
0.133134135...
16−−√
0.424242424...
101−−−√

Answer 1

Here's a short classification and reason for each:

- 0.789 — terminating decimal → rational (0.789 = 789/1000).
- 0.133134135... — nonterminating, nonrepeating pattern → irrational (a decimal that does not terminate or repeat represents an irrational number).
- √16 — equals 4 → integer (rational).
- 0.424242424... — repeating decimal (0.\overline{42}) → rational (0.\overline{42} = 42/99 = 14/33).
- √101 — square root of a non‑perfect square → irrational.