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What is scientific notation? I just forgot

 Jul 10, 2020
edited by ryanthemathboi  Jul 10, 2020
 #1
avatar+59 
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Uh so I know that it is used with powers, but I don't know how how to solve it.

 Jul 10, 2020
 #2
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Scientific notation is usually for writing gigantically enormous numbers, or teensy miniscule numbers.

 

It is written as \(a \cdot 10^x\)

 

\(a\) can be a integer or decimal between 0 and 10 (non-inclusive).

 

Some examples:

 

\(31,469 = 3.1469 \cdot 10^{4}\)

\(142000000000000000 = 1.42 \cdot 10^{17}\)

 

If a number is less than 1, it is written as 10 ^ {negative number}.

 

\(0.02 = 2 \cdot 10^{-2}\)

\(0.00000000103 = 1.03 \cdot 10^{-11}\)

 

\(31.1 \cdot 10^{16}\) isn't scientific notation, as 31.1 can further be divided by 10 to become \(3.11 \cdot 10^{17}\),

 

This is a rather short summary of scientific notation, but I hope you can understand some part of it now.

Go to these links for more info!


https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/v/scientific-notation

https://www.mathsisfun.com/numbers/scientific-notation.html

 Jul 10, 2020
 #3
avatar+59 
+1

Very helpful! Thanks so much!

ryanthemathboi  Jul 10, 2020

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