Possible Error in 1m/192cm Calculation: Is it Actually 1m/1.92m?

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Discussion Overview

The discussion revolves around a potential error in a calculation involving the conversion of measurements from centimeters to meters, specifically questioning whether the expression 100cm/192cm should be interpreted as 1m/192m or 1m/1.92m. The scope includes mathematical reasoning and clarification of units in a homework context.

Discussion Character

  • Homework-related, Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant suspects that the expression 100cm/192cm is incorrect and proposes it should be 1m/1.92m instead.
  • Another participant clarifies that the expression should be interpreted as (100/192) cm, which equals (1/192) m.
  • There is a request for further explanation regarding the interpretation of the calculation.
  • One participant argues that the error is not fractional but absolute, equating to (100/192) cm, which is slightly over 0.5cm.
  • Another participant questions why the expression would not be (1/1.92) m, leading to a response that this would imply a much larger error.
  • Participants engage in confirming the conversion of (100/192) to its decimal equivalent, with one confirming it as 0.52cm or 0.0052m.

Areas of Agreement / Disagreement

Participants express differing views on the correct interpretation of the measurement expression, with no consensus reached on whether it should be 1m/192m or 1m/1.92m.

Contextual Notes

There are unresolved assumptions regarding the context of the original calculation and the reasoning behind the choice of expression, which may affect the interpretation.

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Homework Statement


i suspect the possible error of 100cm/192cm = 1m /192 m is wrong , IMO , it should be 1m /1.92m , right ?

Homework Equations

The Attempt at a Solution

 

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chetzread said:
100cm/192cm
It is not 100cm/192cm. It is (100/192) cm, which is (1/192) m.
 
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haruspex said:
It is not 100cm/192cm. It is (100/192) cm, which is (1/192) m.
why ? i still didnt get it ? could you explain further ?
 
haruspex said:
It is not 100cm/192cm. It is (100/192) cm, which is (1/192) m.
why not (1 / 1.92 ) m ?
 
chetzread said:
why ? i still didnt get it ? could you explain further ?
It is not a fractional error, like 100 parts in 192 parts, which would be over 50%. It is an absolute error of the distance (100/192)cm, or a bit over 0.5cm. Why they would choose to express it that way I have no idea.
 
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chetzread said:
why not (1 / 1.92 ) m ?
Because that would be over 50cm, 100 times the error.
 
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haruspex said:
It is not a fractional error, like 100 parts in 192 parts, which would be over 50%. It is an absolute error of the distance (100/192)cm, or a bit over 0.5cm. Why they would choose to express it that way I have no idea.
do you mean it's 100/192 = 0.52cm = 0.0052m (1/192) ?
 
chetzread said:
do you mean it's 100/192 = 0.52cm = 0.0052m (1/192) ?
Yes.
 
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