Sig Figs and Scientific Notation
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Sig Figs and Scientific Notation
When considering significant figures in a number, is the (10^x) part also included when using scientific notation or does that part not count?
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Re: Sig Figs and Scientific Notation
the 10^x does not count, the first part does as 10^x basically means the number of 0s that come afterward
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Re: Sig Figs and Scientific Notation
The only numbers that count for sig figs in scientific notations are those of the value being multiplied with the 10^n. In other words: no.
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Re: Sig Figs and Scientific Notation
Rayna Irving 3H wrote:When considering significant figures in a number, is the (10^x) part also included when using scientific notation or does that part not count?
No, generally only the first part would count!
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Re: Sig Figs and Scientific Notation
From what I know the 10^n part doesn't count towards counting sig-figs
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Re: Sig Figs and Scientific Notation
The 10^x part doesn't count because of the trailing 0s rule in sig figs. For something like 1000000, these would all be trailing 0s, so we wouldn't count them as sig figs. Subsequently, when we got to write it in standard notation, it'd be 1 *10^6, and the 10^6 wouldn't be considered sig figs
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Re: Sig Figs and Scientific Notation
The 10^x portion of your value is not included in your significant figures and this makes sense because this just adds 0s to your measurement. In other words, if you converted a number in scientific notation into non-scientific notation, you would get a bunch of 0s after your significant figures. As you know, trailing zeroes are never significant unless they follow a decimal or are before significant 0s after your decimal.
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Re: Sig Figs and Scientific Notation
The 10x portion does not count as part of your sig figs, as your sig figs should be focused on nonzero values or zeros that are considered significant due to their placement.
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