Respuesta :
Answer : The correct answer is, [tex]4.878\times 10^{-4}[/tex]
Explanation :
Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
For example :
5000 is written as [tex]5.0\times 10^3[/tex]
889.9 is written as [tex]8.899\times 10^{-2}[/tex]
In this examples, 5000 and 889.9 are written in the standard notation and [tex]5.0\times 10^3[/tex] and [tex]8.899\times 10^{-2}[/tex] are written in the scientific notation.
[tex]8.89\times 10^{-2}[/tex] this is written in the scientific notation and the standard notation of this number will be, 0.00889.
If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.
As we are given the 0.000487750 in standard notation.
Now converting this into scientific notation, we get:
[tex]\Rightarrow 0.000487750=4.878\times 10^{-4}[/tex]
As, the decimal point is shifting to right side, thus the power of 10 is negative.
Hence, the correct answer is, [tex]4.878\times 10^{-4}[/tex]
