Question

A type of bacteria moves 8 x 10^-7 meter per second. How far does this bacteria move in 5.45 x 10^9 seconds? Write your answer in micrometers, using scientific notation.

HELP PLEASE :(
Explain fully how you got your answer. Thanks SO much.

Answer 1

you have to multiply the two standard forms together
(8 x 10^-7) x (5.45 x 10^9)
to multiply multiply the two numbers together then the 10 powers, and when multiplying powers you simply add the two powers together.
43.6 x 10^(-7 + 9)
43.6 x 10^2
then put this into standard form
4.36 x 10^3 (as standard form allows for only 1 number infront of the decimal place) and to get back to 43.6 x 10^2 you have to multiply by 10 so this = 4.36 x 10 x 10 x 10 =4.36 x 10^3