Respuesta :
Answer : The correct answer is, [tex]2.566\times 10^6[/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 [tex]25.6623\times 10^5[/tex] in scientific notation.
Now converting this into standard exponential notation or scientific notation, we get:
[tex]\Rightarrow 25.6623\times 10^5=2.566\times 10^6[/tex]
As, the decimal point is shifting to left side, thus the power of 10 is positive.
Hence, the correct answer is, [tex]2.566\times 10^6[/tex]
The representation of the numbers with the nearby equivalent of the zero and five is termed as rounding off. The standard exponential notation of the number is [tex]2.566\;\times\;10^6[/tex]
What is scientific notation?
The scientific notation is the rounding of the numbers to the smaller numbers, with the significant figures that are too large or big.
The rounding number with the exponents to the raise of power 10 are accounted. The shifting of decimal to the left adds the 10 times to the number. While shifting the number to the right subtracts the 10 times from the number.
The representation of the given number in the four significant figures is [tex]2.566\;\times\;10^6[/tex].
Learn more about scientific notation, here:
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