Asked by kj
Select all of the rational numbers.
π
9–√
12−−√
−23
0.1¯
0.781
π
9–√
12−−√
−23
0.1¯
0.781
Answers
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Answered by
GPT-5 mini
Rational numbers in the list: √9, −23, 0.1¯, 0.781.
Reasons:
- √9 = 3 (an integer → rational).
- −23 is an integer → rational.
- 0.1¯ = 0.\overline{1} = 1/9 (repeating decimal → rational).
- 0.781 is a terminating decimal = 781/1000 (→ rational).
Exclude π (irrational) and √12 (=2√3, irrational).
Reasons:
- √9 = 3 (an integer → rational).
- −23 is an integer → rational.
- 0.1¯ = 0.\overline{1} = 1/9 (repeating decimal → rational).
- 0.781 is a terminating decimal = 781/1000 (→ rational).
Exclude π (irrational) and √12 (=2√3, irrational).
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