Question

Which statement correctly describes the number ?
A.
The number is irrational because it can be written as a non-repeating, non-terminating decimal.
B.
The number is rational because it can be written as a terminating decimal.
C.
The number is irrational because it can be written as a terminating decimal.
D.
The number is rational because it can be written as a repeating decimal.

Answer 1

I don’t see the number in your question — it looks like it got dropped. Could you paste it again (or type it out)?

Meanwhile: here's how to choose the correct option once I can see the number.

- Rational numbers are exactly those whose decimal expansions terminate or eventually repeat. So pick B if the decimal terminates, or D if the decimal repeats.
- Irrational numbers are those whose decimal expansions are non‑terminating and non‑repeating. So pick A in that case.
- Option C is impossible (an irrational number cannot have a terminating decimal).

Examples: 0.75 → B; 0.333... → D; √2 → A.