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Mathematics 9 Online
OpenStudy (anonymous):

help!

OpenStudy (anonymous):

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.

jimthompson5910 (jim_thompson5910):

place a decimal point between the first two digits so we have `2.0`

jimthompson5910 (jim_thompson5910):

how many places must we move the decimal point to go from `2.0` to `20,000` ?

OpenStudy (anonymous):

4?

jimthompson5910 (jim_thompson5910):

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 \[\LARGE 20,000 = 2.0 \times 10^{\color{red}{4}}\]

jimthompson5910 (jim_thompson5910):

if we move the decimal point to the left, then the exponent would have been negative

OpenStudy (anonymous):

so the answer is 10^4?

jimthompson5910 (jim_thompson5910):

I just showed you the answer

OpenStudy (anonymous):

1.0 x 10^4

jimthompson5910 (jim_thompson5910):

|dw:1443829908625:dw|

jimthompson5910 (jim_thompson5910):

|dw:1443829923670:dw|

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