QQuestionMathematics
QuestionMathematics
Is (π+ 3.14) a rational number, an irrational number, or zero?
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the components
- π is a well-known mathematical constant - 3.14 is a rational number (a decimal representation)
Step 3:: Examine the properties of π
- π is a transcendental and irrational number - This means π cannot be expressed as a simple fraction of integers
Step 4:: Analyze the sum (π+ 3.14)
- When we add an irrational number (π) to a rational number (3.14), the result remains irrational - This is because adding a rational number to an irrational number cannot make the irrational number rational
Step 5:: Verify the result is not zero
- $$\pi + 3.14 \approx 6.28
- Clearly, this is not zero
Step 6:: Classify the number
- Since (π+ 3.14) is the sum of an irrational number (π) and a rational number (3.14), the result is irrational - It is also not zero
Final Answer
(π+ 3.14) is an irrational number.
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