1. anonymous

7.58X10^6

2. anonymous

can u explain how to do it? i have a final coming up and i needa know all of this

3. anonymous

significant figuresdasdaerasdsfda

4. Mertsj

For a number to be in scientific notation, it has to have two factors. The first factor must be between 1 and 10 and the second factor must be a power of 10.

5. anonymous

i still dont understand

6. Mertsj

So when you multiply those two numbers you get 75.84 x 10^5

7. anonymous

8. Mertsj

That is not scientific notation because 75.84 is not between 1 and 10.

9. anonymous

oh...umm..

10. Mertsj

To make it between 1 and 10 we have to move the decimal point 1 place to the left making it 7.584

11. anonymous

First you have to consider the number of significant digits, you go by the term with the lowest amount of significance (24x10^2 in this case has 2 significant digits). Then its a simple matter of multiplication... To convert from scientific notation to decimal notation, you move the decimal place by the amount indicated on the power. (ie, 1x10^2 becomes 100) To go from decimal notation to scientific notation you figure out how many times you must multiply by 10 to reach a point where the number before the decimal is between 1 and 10.

12. anonymous

$(3.16\times 10^3)(24\times 10^2)=3.16\times 24\times 10^{3+2}$ $=75.84\times 10^5=75.85\times 100000=7585000=7.54\times 10^6$\]

13. Mertsj

However we have no right to change the answer so we have to fix what we just did and the way to fix it is to make the exponent 1 greater

14. Mertsj

So now the second factor is 10^6 and our final answer is 7.584 x 10^6

15. anonymous

ohh...okay :D thanks everybody