Significant Figures: Questions & Answers

  • Context: High School 
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Discussion Overview

The discussion revolves around the concept of significant figures in physics, including their definitions, applications, and potential ambiguities. Participants also touch on related topics such as the meaning of 'size' in physics and the conversion of time measurements.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant notes that according to their physics book, zeros at the end of a number are not significant unless followed by a decimal point, leading to confusion about the significant figures in the numbers 3000 K and 93,000,000 m.
  • Another participant asserts that there are only 2 significant figures in the number 93,000,000 m, which contradicts the previous claim about five significant figures being indicated in the book.
  • There is a suggestion that if five significant figures are intended, the number should be expressed in scientific notation, such as 9.3000*10^7.
  • Participants discuss the term 'size' in physics, indicating that it is not a specific term and can refer to various concepts depending on context.
  • One participant questions the conversion of 3.6 kiloseconds into minutes, prompting a clarification about the meaning of the prefix "kilo" as 1000.
  • A later reply humorously comments on the length of a CD based on the given time of 3.6 kiloseconds.
  • Another participant expresses understanding after receiving clarification on the topics discussed.

Areas of Agreement / Disagreement

Participants express differing views on the application of significant figures, particularly regarding the examples provided. There is no consensus on the correct interpretation of significant figures in the discussed numbers, and the meaning of 'size' in physics remains ambiguous among participants.

Contextual Notes

There are unresolved assumptions regarding the definitions of significant figures and the context in which terms like 'size' are used. The discussion also highlights potential confusion in educational materials.

MIA6
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1. I read on my physics book that "zeros located at the end of a number are not significant if they are not followed by a decimal point." it also gave an example: 3000 K, in this case, there is only 1 significant figure. However, the number 93,000,000 m, on my book it says only the first five digits are significant. But i think there are only 2 significant figures according to the previous definition? I was confused.
2. What does 'size' mean in Physics? means the surface area?
3. The time it takes to play a CD in your stereo. My teacher said the answer was 3.6 kilosecond. but i didn't get it.

Thanks a lot.
 
Physics news on Phys.org
1. there's only 2 sig figs
2. lots of things
3. 60s X 60min = 1 hour = 3600 seconds

how old are you?
 
MIA6 said:
1. I read on my physics book that "zeros located at the end of a number are not significant if they are not followed by a decimal point." it also gave an example: 3000 K, in this case, there is only 1 significant figure. However, the number 93,000,000 m, on my book it says only the first five digits are significant. But i think there are only 2 significant figures according to the previous definition? I was confused.
That's certainly not consistent usage. If five significant figures are meant, it should be written as: 9.3000*10^7 or 93.000*10^6, etc.
2. What does 'size' mean in Physics? means the surface area?
"Size" is not a specific physics term. It could mean all sorts of things, depending on context.
3. The time it takes to play a CD in your stereo. My teacher said the answer was 3.6 kilosecond. but i didn't get it.
The prefix "kilo" means 1000. Figure out how many minutes that is.
 
3.6 kiloseconds? That's a short CD by my standards! :rolleyes:
 
I get it now, thanks.
 

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