How do you write $0.004752$ $0.004752$ in scientific notation?

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Answer 1 · 2016-08-25T14:18:12

$4.752 \times 10^{- 3}$ $4.752 xx 10^-3$

Let's use an indices method first.

$0.004752 = \frac{4752}{1000, 000}$ $0.004752 = 4752/(1000,000)$ "change 1,000,000 to a power of 10"

$\frac{4752}{1000, 000} = \frac{4752}{10^{6}} = 4752 \times 10 - 6$ $4752/(1000,000 ) = 4752/color(red)(10^6) = 4752 xx color(red)(10-6)$

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

$4752 \times 10 - 6 \to 4.752 \times 10^{- 3}$ $4752 xx 10-6 rarr 4.752 xx 10^-3$

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

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

How do you write 0.0047520.0047520.004752 in scientific notation?