How do you write #0.004752# in scientific notation?

1 Answer
Aug 25, 2016

Answer:

#4.752 xx 10^-3#

Explanation:

Let's use an indices method first.

#0.004752 = 4752/(1000,000)# "change 1,000,000 to a power of 10"

#4752/(1000,000 ) = 4752/color(red)(10^6) = 4752 xx color(red)(10-6)#

Scientific notation must have only one non-zero digit in front of the decimal point.

#4752 xx 10-6 rarr 4.752 xx 10^-3#

Or just use the method of moving the point to the right.
(Each move is a power of 10)

0.#ulcolor(red)(004)752 = 4.752 xx 10^color(red)(-3)#