All of these numbers have 3 significant figures right?

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Discussion Overview

The discussion revolves around the identification of significant figures in various numerical representations. Participants analyze specific examples to determine how many significant figures each number contains, exploring the rules and conventions that govern significant figures in different contexts.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • Some participants assert that 12.5 and 105 have three significant figures, while others challenge the significance of 100.00 and 2.5 x 10^3.
  • One participant claims that 100.00 has five significant figures due to the presence of the decimal point and the zeros following the 1.
  • Another participant suggests that 2.5 x 10^3 has only two significant figures, proposing that it should be represented as 2.50 x 10^3 to indicate three significant figures.
  • A participant outlines three main rules for determining significant figures, emphasizing the significance of zeros in various positions within a number.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the number of significant figures in 100.00 and 2.5 x 10^3, indicating multiple competing views on the interpretation of significant figures.

Contextual Notes

Participants reference specific rules for significant figures, but there is some ambiguity regarding the application of these rules to the numbers discussed, particularly concerning the treatment of zeros.

Power of One
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12.5
100.00
105
2.5 x 10^3

All of these numbers have 3 significant figures right?

 
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No, 12.5 and 105 have three significant figures. Look at the other two again
 
The last one is two sf, three would be 2.50 x10^3

105 is 3sig fig
 
mgb_phys said:
The last one is two sf, three would be 2.50 x10^3

105 is 3sig fig

I caught that shortly after, thank you.

@pzona- Doesn't 100.00 only have two significant figures, the 1 and the two zeros after the decimal point?​
 
Power of One said:
I caught that shortly after, thank you.

@pzona- Doesn't 100.00 only have two significant figures, the 1 and the two zeros after the decimal point?​

100.00 is written to indicate significance to the hundredths place. The number has five significant figures. (from locations of places Hundreds to Hundredths).
 
The way I learned sig figs, there were 3 main rules.

1. Zeros between nonzero digits are always significant (1001, 304)
2. Zeros at the beginning of a number are never significant (0.001, 0.026)
3. Zeros at the end of a number are significant if the number contains a decimal point (e.g. 100.00)

These are pretty easy to remember, and I still find myself going through them in my head every time I need to count significant figures. Hopefully this helps.
 

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