Simplify, assuming that the factors are approximations. Give answers in scientific notation with the same number of significant digits as in t he least accurate factor.

(8 x 10^6) x (2 x 10^-2) / 4 x 10^2

Question

Simplify, assuming that the factors are approximations. Give answers in scientific notation with the same number of significant digits as in t he least accurate factor.

(8 x 10^6) x (2 x 10^-2) / 4 x 10^2

anonymous · Answer

Please anyone help!

jhonyy9 · Answer

8*10^6 * ( 2* (1/10^2))
--------------------- = 2*10^4 * 2/10^2 = 4*10^2
            4*10^2

jhonyy9 · Answer

do you understand it sure ?

anonymous · Answer

@jhonyy9 No i dont :( can you explain?

jhonyy9 · Answer

not is correct right ?

jhonyy9 · Answer

what you not can understanding ?

anonymous · Answer

@jhonyy9 I dont understand how you simplified it!

jhonyy9 · Answer

so first hope so much that you know sure that 

a^(-1) = 1/a   yes ?

so than in your exercise 10^(-2) = 1/(10^2)

ok ?

jhonyy9 · Answer

so hence inside second parentheses will be 

    2
-------
  10^2

ok ?

jhonyy9 · Answer

so after this there are 10^6 / 10^2 = 10^(6-2) =10^4    yes ?

jhonyy9 · Answer

so again there are 
                       2
2*10^4 * ----------- = 4*10^(4-2) = 4*10^2
                   10^2

so hope so much that now is understandably sure right easy 

good luck

bye

anonymous · Answer

Yes! Thank you very much @jhonyy9

jhonyy9 · Answer

was my pleasure 

bye