## tonipoo610 3 years ago ScientificNotation Helppppp

1. tonipoo610

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2. tonipoo610

and that would equal 9.944 x 10to the negative 6 power right???

3. phi

what is 1.08 * 9.3 ?

4. tonipoo610

9944

5. phi

are you doing the multiplication by hand?

6. tonipoo610

cyes

7. phi

When you get time, this might help http://www.khanacademy.org/math/arithmetic/decimals/v/mulitplication-8--multiplying-decimals--old-video but 1.08 * 9.3 is not 9.944

8. tonipoo610

ok wait let me retry this

9. tonipoo610

ok i to 10.044 x 10 to the -6 but the real answer is 1.0044 x10 to the -5...

10. phi

10.044 x 10^-6 that is correct. but you want it in "standard" form. 10 is too big so divide 10.044 by 10 (make it smaller) to compensate, make 10^-6 bigger by 10 (multiply by 10 which means add 1 to its exponent)

11. tonipoo610

so you have to add one or am i correct?

12. phi

Did what I wrote not make sense? think about this: you have 10.044 x 10^-6 we can multiply by 10/10 (ten divided by 10 is just 1) 10.044/10 x 10 x 10^-6 10.044/10 is 1.0044 10^1 x 10^-6 is 10^(1-6) or 10^-5 so the final answer is 1.0044 x 10^-5

13. tonipoo610

so you can't have a number less than 1 or greater than 10???

14. phi

you could, but it would not be in "standard form" if you had 0.001 you would multiply by 1000 (or just count 1,2,3 how many spots you move the decimal point). then you would compensate by multiplying by 10^-3 1.000 x 10^-3

15. tonipoo610

ok i new that i am just learning that .0001..you would go to the right 4 times and you would get 1 x 10 to the -3

16. phi

you mean 0.0001 is 1 x 10^-4

17. tonipoo610

ooo

18. phi

0.0001 x 10000 /10000 or with exponents 0.0001 x 10^4 * 10^-4 (0.0001 x 10^4) * 10^-4 (0.0001 x 10000) * 10^-4 1.0 * 10^-4

19. tonipoo610

ok got it

20. phi

good. otherwise you won't understand the national debt, which needs scientific notation...

21. tonipoo610

yup! thxx

22. tonipoo610

ooo haha i just realize that 0 is bigger than -1 so when you have to compensate you would just add 1 that also goes with positive exponents right?

23. phi

yes, 0 is bigger than -1. but 0 is neither positive nor negative. and of course 10^0 is the same as 1, so people generally don't use scientific notation when the exponent is 0 who would want to write 2 x 10^0 when 2 is all you have to write?