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

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In summary, the conversation is discussing the possible error in the expression 100cm/192cm, which is actually (100/192) cm or (1/192) m. The error is not expressed as (1/1.92) m because that would be over 50cm, 100 times the actual error. The actual error is (1/192) m or a bit over 0.5 cm.
  • #1
chetzread
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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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  • #2
chetzread said:
100cm/192cm
It is not 100cm/192cm. It is (100/192) cm, which is (1/192) m.
 
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  • #3
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 ?
 
  • #4
haruspex said:
It is not 100cm/192cm. It is (100/192) cm, which is (1/192) m.
why not (1 / 1.92 ) m ?
 
  • #5
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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  • #6
chetzread said:
why not (1 / 1.92 ) m ?
Because that would be over 50cm, 100 times the error.
 
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  • #7
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) ?
 
  • #8
chetzread said:
do you mean it's 100/192 = 0.52cm = 0.0052m (1/192) ?
Yes.
 
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1. What is the possible error in the 1m/192cm calculation?

The possible error in this calculation is that the units are not consistent. 1m is equivalent to 100cm, so dividing it by 192cm would result in a value of 0.005208m, not 1m.

2. How did the error in units occur?

The error in units most likely occurred due to a mistake in converting or using the metric system. It is important to ensure that all units are consistent when performing calculations to avoid errors.

3. Is the correct result actually 1m/1.92m?

Yes, the correct result for 1m/192cm is 1m/1.92m. This is because 192cm is equivalent to 1.92m, so dividing 1m by 1.92m would result in a value of 0.5208m, which is equivalent to 1m/192cm.

4. How can this error be avoided in the future?

This error can be avoided by double checking all units and conversions before performing calculations. It is also helpful to use a calculator or computer program that can handle unit conversions automatically to avoid human errors.

5. Will this error significantly affect the results of the overall study?

It depends on the specific study and how the calculation is being used. In some cases, the error may be negligible and not significantly impact the overall results. However, in other cases, the error may be significant and could affect the accuracy of the conclusions drawn from the study. It is important to address and correct any errors in calculations to ensure the integrity of the study's findings.

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