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In an average year America is responsible for about 20,000 kilograms of carbon emission pollution each year. Express this number as a single-digit integer times a power of 10.
place a decimal point between the first two digits so we have `2.0`
how many places must we move the decimal point to go from `2.0` to `20,000` ?
4?
yes, we move the decimal point \(\LARGE \color{red}{4}\) spots to the right, so the exponent over the 10 is \(\LARGE \color{red}{4}\) meaning that \[\LARGE 20,000 = 2.0 \times 10^{\color{red}{4}}\]
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if we move the decimal point to the left, then the exponent would have been negative
so the answer is 10^4?
I just showed you the answer
1.0 x 10^4
|dw:1443829908625:dw|
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