anonymous
  • anonymous
write 3610.0 in scientific notation using 3 significant digits.
Physics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1377904382777:dw| @oOKawaiiOo ? Is it correct?
theEric
  • theEric
I agree with that!
anonymous
  • anonymous
thanks guys! what about 0.03230 using 3 significant digits?

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anonymous
  • anonymous
http://www.dummies.com/how-to/content/how-to-write-numbers-in-scientific-notation.html @hello_sunshine
theEric
  • theEric
Scientific notation is just making the number be written as one number in the ones digit followed by the rest in the decimals, and then multiplied by ten to get to the correct value. Example in a way that shows the value doesn't change: \(345=345\times 1=345\times\dfrac{10^2}{10^2}\\\qquad\qquad\qquad=\dfrac{345}{10^2}\times 10^2\\\qquad\qquad\qquad =3.45\times 10^2\)
theEric
  • theEric
Nice link, @Ryaan ! @hello_sunshine , check it out! :)
anonymous
  • anonymous
I did! it was helpful! Thanks guys!
theEric
  • theEric
Another way of looking at scientific notation is \(345=34.5\times10^1=3.45\times 10^2\). I just kept moving the decimal place and adding to the exponent. Just like count how far you moved the decimal place to the left! If you move it to the right, you have to subtract from the exponent. Significant figures is the other important part. There is probably a great link for that somewherem, too!
theEric
  • theEric
somewhere*
anonymous
  • anonymous
cool! i'll have to look sometime
theEric
  • theEric
Counting significant figures... Basically... \(\huge\color{orange}{0's}\) \(005000\) \(\uparrow\uparrow\:\:\:\uparrow\uparrow\uparrow\) These don't count. \(005000.\)\(\qquad\qquad\qquad\qquad005000.\) \(\uparrow\uparrow\)\(\qquad\qquad\qquad\qquad\qquad\quad\ \ \uparrow\uparrow\uparrow\) These don't count.\(\quad\)These count now, since they are between a non-zero and decimal. In fact, \(005000.00000000000000\) \(\quad\ \uparrow\uparrow\uparrow\:\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\) All of these count now! Any \(0\) \(\sf \color{blue}{written}\) after the decimal place also counts. \(\huge\sf\color{orange}{The~rest}\) All of the non-zero numbers get counted.
theEric
  • theEric
Ah! Mistake!
theEric
  • theEric
In that case, any \(0\) written after the decimal place gets counted. But not in all cases.
anonymous
  • anonymous
0.00 would it be significant zeros?
theEric
  • theEric
See, they are counted because they are \(after\) the \(5\), a non-zero number. So you start counting there. But in a number like this: \(00.000050000\) \(\qquad~~\quad\uparrow\uparrow\uparrow\uparrow\) Only these \(0\)'s count. And the \(5\) counts, because it's non-zero. So... \(00.000050000\) \(\qquad\quad\;\uparrow\uparrow\uparrow\uparrow\uparrow\) These are all the significant figures.
theEric
  • theEric
\(0.00\) has no significant figures, I'm pretty sure.
theEric
  • theEric
Here's a link to general stuff, but it doesn't have \(0.00\).
theEric
  • theEric
I have to get going. Take care everyone!
anonymous
  • anonymous
Okay! And your explanation is really helpful :3
theEric
  • theEric
Thank you! :D \(\huge\color{green}{\large\ \ o\ o\ \\\smile}\)
theEric
  • theEric
I guess I should add that \(0\)'s count in between other numbers, like \(005005000\) \(~~~\uparrow\uparrow\uparrow\uparrow\) All of those count. :)

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