Significant Figures addition & conversion

Click For Summary

Homework Help Overview

The discussion revolves around the application of significant figures in the context of converting measurements from feet to meters, specifically in calculating the perimeter of a rectangular room with given dimensions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore when to apply rounding in calculations, debating whether to round after intermediate steps or only at the final answer. There is a focus on the implications of significant figures in the conversion process.

Discussion Status

Multiple perspectives are being shared regarding the best practice for rounding, with some participants emphasizing the importance of maintaining precision throughout the calculations before rounding at the end. There is no explicit consensus yet, but the discussion is actively exploring different viewpoints.

Contextual Notes

Participants are considering the rules of significant figures and how they apply to both addition and unit conversion, which may influence their rounding decisions.

physicsteach
Messages
1
Reaction score
0
Having a discussion with a colleague over sig figs and conversions.

Original problem: find perimeter of 12.6 ft by 13.88 ft room and express answer in meters.

16.1 m or 16.2 m?

Question is when to round? After finding perimeter in feet? 53.0 feet to meters = 16.2 meters or at the end? 52.96 feet = 16.1 meters?
 
Physics news on Phys.org
I find it's usually best to round at the final answer.
 
daveb said:
I find it's usually best to round at the final answer.
(Emphatically) agree !
 
Keep as many digits throughout your work as you can, then round at the end.
 

Similar threads

Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
7K
Replies
5
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 13 ·
Replies
13
Views
4K