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Mathematics 4 Online
OpenStudy (anonymous):

Does anyone know sig figs?

OpenStudy (dumbcow):

they are the worst kind of figs... anyway, in sciences its used as a rounding system examples: 1.23 has 3 sig figs 0.123 also has 3 sig figs 1.023 has 4 sig figs

OpenStudy (anonymous):

Oh I do know that, just a few questions haha. Can you answer some?

OpenStudy (dumbcow):

oh yeah sure and just in case .... http://en.wikipedia.org/wiki/Significant_figures

OpenStudy (anonymous):

\[1.278 \times10^{3}\div1.4267\times10^{2}\]

OpenStudy (dumbcow):

divide the numbers....and subtract the exponents

OpenStudy (anonymous):

What do you mean?

OpenStudy (dumbcow):

\[\frac{1.278*10^{3}}{1.4267*10^{2}} =\frac{1.278}{1.4267}* 10^{3-2} \]

OpenStudy (anonymous):

I get .89577 when dividing, but how do I make it so that it will have four sig figs?

OpenStudy (dumbcow):

round to 4 places --> .8958 * 10 put it in correct scientific notation --> 8.958 * 10^0

OpenStudy (anonymous):

Why do you subtract the powers?

OpenStudy (dumbcow):

its the rule for when dividing numbers with exponents \[\frac{a^{m}}{a^{n}} = a^{m-n}\] example: 8/4 = 2 right , now make 8 and 4 into powers of 2 \[\frac{2^{3}}{2^{2}} = 2\]

OpenStudy (anonymous):

Last question! @dumbcow How do you make 0.00172776 into having 2 sig figs?

OpenStudy (dumbcow):

since it has 2 leading zeros, round to 4 places --> .0017

OpenStudy (anonymous):

Thank you!

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