How do you convert 13,220 to scientific notation?

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How do you convert 13,220 to scientific notation?

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Answer 1 · 2017-07-21T23:24:59

$1.3220 \times 10^{4}$ $1.3220 xx 10^4$

Scientific notation is just a way to express big or small numbers in a nicer-looking way. We write something like

$602214130000000000000000$ $602214130000000000000000$

as

$6.0221413 \times 10^{23}$ $6.0221413 xx 10^23$

or

$0.00000000000012$ $0.00000000000012$

as

$1.2 \times 10^{- 13}$ $1.2 xx 10^(-13)$

by tacking on a " $\times 10^{? ?}$ $xx 10^(??)$ " to avoid writing out a bunch of zeros. All you have to do is write your number to be between $1$ $1$ and $9.99$ $9.99$ or so, and then use $10^{? ?}$ $10^(??)$ to get it back to how it was originally.

$13220 = 1.3220 \times 10^{4}$ $13220 = color(blue)(1.3220 xx 10^4)$

Because

$1.3220 \times 10^{4} = 1.3220 \times 10000$ $1.3220 xx 10^4 = 1.3220 xx 10000$

$= 13.220 \times 1000$ $= 13.220 xx 1000$

$= 132.20 \times 100$ $= 132.20 xx 100$

$= 1322.0 \times 10$ $= 1322.0 xx 10$

$= 13220$ $= 13220$

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How do you convert 13,220 to scientific notation?

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