How do you write #0.004752# in scientific notation?

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Answer 1 · 2016-08-25T14:18:12

#4.752 xx 10^-3#

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)#