I'm taking a practice test on scientific notation. The question is What is .000563×10-7 in proper scientific notation. I chose the answer 5.63×10-3. However, this answer was incorrect and I'm not sure why. Does anyone know what the proper answer would be?
Thanks,
Dave
Best Answer
Tedious but important to get the concept way:
$.000563\times 10^{-7} = .000563 \times 0.0000001 = .0000000000563 =$ (count the decimals) = $5.63 \times 10^{-11}$
More straight forward after you've gotten the concept.
$.000563 \times 10^{-7} = 5.63 \times 10^n \times 10^{-7} = $ (count the decimals) $ 5.63 \times 10^{-4} \times 10^{-7} = 5.63 \times 10^{-11}$.
So what did you do wrong? You added the 4 rather than subtracted the for. Thing is $10^{-7}$ means make smaller means shift decimal point further to the left-- if the decimal is already to the left shift it further.