All of these numbers have 3 significant figures right?

AI Thread Summary
The discussion centers on the concept of significant figures in various numerical representations. It clarifies that the numbers 12.5 and 105 each have three significant figures, while 100.00 actually has five significant figures due to the presence of the decimal point, which indicates the significance of the trailing zeros. The number 2.5 x 10^3 is noted to have two significant figures unless expressed as 2.50 x 10^3, which would then have three. The conversation also outlines three key rules for identifying significant figures: zeros between nonzero digits are significant, leading zeros are not significant, and trailing zeros are significant if there is a decimal point present. These rules serve as a guide for accurately determining significant figures in various contexts.
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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