QQuestionMathematics
QuestionMathematics
which number produces an irrational number when added to 1 / 3
| ○ A. | 2 |
| --- | --- |
| | 3 |
| ○ B. | 2 |
| ○ C. | 2π |
| ○ D. | 0.166 |
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Answer
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Step 1:: To find which number, when added to 1 / 3, produces an irrational number, we need to examine each option and determine whether the result is rational or irrational.
A rational number can be expressed as a fraction or a terminating or repeating decimal, while an irrational number is a non-repeating, non-terminating decimal.
Step 2:: Option A: 2
When we add 2 to 1 / 3, we get a rational number: So, option A is not the answer.
Step 3:: Option B: 2
Again, when we add 2 to 1 / 3, we get a rational number: So, option B is also not the answer.
Step 4:: Option C: 2π
When we add 2π to 1 / 3, we get an irrational number, as π is irrational: So, option C is the correct answer.
Step 5:: Option D: 0.166
When we add 0.166 to 1 / 3, we get a rational number, as 0.166 is a repeating decimal: So, option D is not the answer.
Final Answer
Option C: 2π produces an irrational number when added to 1 / 3.
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