## anonymous one year ago help!

1. 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.

2. jim_thompson5910

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

3. jim_thompson5910

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

4. anonymous

4?

5. 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 $\LARGE 20,000 = 2.0 \times 10^{\color{red}{4}}$

6. jim_thompson5910

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

7. anonymous

8. jim_thompson5910

I just showed you the answer

9. anonymous

1.0 x 10^4

10. jim_thompson5910

|dw:1443829908625:dw|

11. jim_thompson5910

|dw:1443829923670:dw|

12. jim_thompson5910

|dw:1443829935744:dw|

13. jim_thompson5910

|dw:1443829953929:dw|

14. jim_thompson5910

since 2.0 is really the same as 2

15. anonymous

ok thank you