Confusion regarding significant figures in answers

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Homework Help Overview

The discussion revolves around the concept of significant figures in the context of unit conversion, specifically converting speed from SI units to other units, such as from meters per second to kilometers per hour.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of significant figures on the final answer, questioning how the number of significant figures in the initial measurement (0.4 m/s) affects the result of the conversion. There is also a discussion about whether the exercise specifies the required significant figures for the answer.

Discussion Status

Some participants have expressed confusion regarding the application of significant figures, while others have attempted to clarify the rules governing significant figures in multiplication. There is an acknowledgment of a potential misunderstanding, but no explicit consensus has been reached.

Contextual Notes

Participants are navigating the rules of significant figures without clear guidelines from the exercise regarding how many significant figures should be used in the final answer.

fleetingmoment
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Homework Statement


I'm working through some exercises in which I'm supposed to convert various units of speed from SI units to other units
Example: 0.4m/s into km/h

Homework Equations


upload_2017-1-27_0-53-30.png


The Attempt at a Solution


Having checked, I know my answer to be (to 3 significant figures) correct. My confusion arises regarding significant figures. Wouldn't 0.4 be 1 significant figure, which, if I remember and understand correctly, influences how the answer must be expressed, which in turn would leave me with a answer value of 1.
 
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Doesn't the exercise state explicitly how many significant figures are needed for the result?
 
fleetingmoment said:

Homework Statement


I'm working through some exercises in which I'm supposed to convert various units of speed from SI units to other units
Example: 0.4m/s into km/h

Homework Equations


View attachment 112152

The Attempt at a Solution


Having checked, I know my answer to be (to 3 significant figures) correct. My confusion arises regarding significant figures. Wouldn't 0.4 be 1 significant figure, which, if I remember and understand correctly, influences how the answer must be expressed, which in turn would leave me with a answer value of 1.

It's okay. I worked out where I was going wrong.
 
fleetingmoment said:
It's okay. I worked out where I was going wrong.
did you get the answer? when you are multiplying 2(or more) terms, the answer should contain as much as significant figures which is equivalent to that of the least number of significant figures containing term in the question.
 
harini07 said:
did you get the answer? when you are multiplying 2(or more) terms, the answer should contain as much as significant figures which is equivalent to that of the least number of significant figures containing term in the question.
oops sorry, just now i have seen that it's marked solved.ignore my useless rambling then :p
 

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