Physics Help Forum Significant figures clarification

 Kinematics and Dynamics Kinematics and Dynamics Physics Help Forum

 Sep 17th 2018, 10:21 AM #1 Junior Member   Join Date: Apr 2017 Posts: 2 Significant figures clarification This is not a profound physics question, but I hope someone can help since I just started learning physics. Given the following calculations below, what would be the proper solutions be (incorporating significant figures)? 10.0 + 2.0(3.3333333) = 10.0 + 6.7 = 16.7 Notice that I rounded 2.0(3.3333333) = 16.6666666 to 16.7. I am not sure if 16.7 is the right answer. I feel that it is 17 since the least precise measurement in the last arithmetic step has only two significant figures, being 6.7.
 Sep 17th 2018, 12:40 PM #2 Physics Team     Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,347 I would stick with 16.7, given that both 10.0 and 6.7 are accurate to one figure after the decimal point.
 Sep 17th 2018, 04:38 PM #3 Senior Member   Join Date: Aug 2010 Posts: 418 If the problem had said just "2" times (3.3333333) I would agree with ChipB. That is, I would think that "2" was an exact value (like counting 2 things). However it is "2.0" which implies a measured amount measure to the "nearest tenth" (the actual amount could be anywhere from 1.95 to 2.05). That is, the least accurate figure is 2.0 which has "two significant figures". A calculation cannot be more accurate than the least accurate figure in the calculation. So this should be given to two significant figures: 17.
 Sep 17th 2018, 05:12 PM #4 Junior Member   Join Date: Apr 2017 Posts: 2 It seems that there is no universal standard about when the most ideal moments one should round in a calculation. If you agree with that, for now I'll just stick to some of the more general rules about significant figures and then I'll try to use common sense from there. Thanks for your help!

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