No, 3.14 is not infinite; it's a finite decimal representing an approximation of pi (π).
Pi (π), on the other hand, is an irrational number with an infinite, non-repeating decimal representation. While 3.14 is a common and useful approximation, it's merely a truncated version of pi. Pi continues infinitely beyond 3.14, with digits that never settle into a repeating pattern.
Here's a breakdown:
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Finite Decimal: 3.14 has a fixed number of digits after the decimal point. It can be expressed as a fraction (314/100).
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Infinite Decimal (Pi): Pi's decimal representation extends infinitely without repeating. It cannot be expressed as a simple fraction.
| Number | Property | Is Infinite? |
|---|---|---|
| 3.14 | Finite Decimal | No |
| π | Infinite Decimal | Yes |
In essence, 3.14 is a practical approximation for calculations, while the true value of pi goes on forever.
