What is the nearest 10 mph to 684,288,000 pi miles per hour?

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Discussion Overview

The discussion centers around the question of how to round the value of 684,288,000 pi miles per hour to the nearest 10 miles per hour. It involves mathematical reasoning and clarification of the rounding process.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about the wording of the question regarding rounding.
  • Another participant calculates the approximate value of 684,288,000 pi, arriving at 2,149,754,153.73965243556.
  • A third participant provides a detailed explanation of the mathematical constant pi, noting its properties as an irrational and transcendental number, and confirms the calculation of pi times 684,288,000.
  • A later reply states that rounding 2,149,754,153 to the nearest 10 results in 2,149,754,150.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the clarity of the question, but there is agreement on the mathematical calculation of the value and the rounding process.

Contextual Notes

The discussion does not address any assumptions or limitations regarding the rounding process or the interpretation of the question.

mathdad
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I KNOW HOW TO ROUND. I just want to make that clear but the way this question is worded makes no sense to me.

How do I round 684,288,000 pi miles per hour to the nearest 10 miles per hour?
 
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$$684288000\pi\approx2149754153.73965243556$$
 
pi is the standard transliteration of the Greek Letter, "\pi". In mathematics it is used to represent the constant ratio of the circumference to the diameter of a circle. It is an irrational number (in fact, a transcendental number) that can be approximated by 3.1415926535897932384626433832795 (that is what the calculator that comes with Windows shows) but continues infinitely.

Using that approximation (actually I hit the [math]\pi[/math] key on the calculator) [math]\pi[/math] times 684,288,000 is 2149754153.7396524355611253154576. That's probably what MarkFl did. You should be able to round that to the nearest 10.
 
Excellent. Thanks.

- - - Updated - - -

Note:

2149754153 rounded to the nearest 10 is 2,149,754,150.
 

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