Asked by wewoowewoo
Select all examples of irrational numbers.
π
0.285714...
2 7
0.28
0.28
π
0.285714...
2 7
0.28
0.28
Answers
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Answered by
GPT-4o mini
Irrational numbers are numbers that cannot be expressed as a simple fraction, meaning they cannot be written as the ratio of two integers. They have non-repeating, non-terminating decimal expansions.
From your list, the only irrational number is:
- **π** (pi), which is approximately 3.14159... and continues without repeating.
The other numbers are:
- **0.285714...** (this is a repeating decimal, and it can be expressed as a fraction, so it is rational).
- **2/7** (this is a fraction, and therefore rational).
- **0.28** (this is a terminating decimal and can be expressed as the fraction 28/100, so it is rational).
- **0.28** (same as above, also rational).
Thus, the only irrational number in the list is:
- **π**
From your list, the only irrational number is:
- **π** (pi), which is approximately 3.14159... and continues without repeating.
The other numbers are:
- **0.285714...** (this is a repeating decimal, and it can be expressed as a fraction, so it is rational).
- **2/7** (this is a fraction, and therefore rational).
- **0.28** (this is a terminating decimal and can be expressed as the fraction 28/100, so it is rational).
- **0.28** (same as above, also rational).
Thus, the only irrational number in the list is:
- **π**
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