Respuesta :
Answer : No, levi's reasoning is incorrect. The correct answer is, [tex]2.63\times 10^{11}[/tex]
Step-by-step 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. The numerical digit lies between 0.1.... to 9.9.....
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.
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 263,000,700,000 in standard notation.
Now converting this into scientific notation, we get:
[tex]\Rightarrow 263,000,700,000=2.63\times 10^{11}[/tex]
As, the decimal point is shifting to left side, thus the power of 10 is positive.
Hence, the correct answer is, [tex]2.63\times 10^{11}[/tex]
Answer:
No. He answered incorrectly. The correct scientific notation of the number will be [tex]2.630007\times10^{11}[/tex].
Step-by-step explanation:
Levi wants to write 263,000,700,000 in the scientific notation.
In scientific notation, the number is represented by a numerical value between 1 and 9.99...., multiplied by power of 10.
The given number can be written as,
[tex]263,000,700,000=2.630007\times100,000,000,000\\263,000,700,000=2.630007\times10^{11}[/tex]
Thus, in scientific notation, the given number can be written as [tex]2.630007\times10^{11}[/tex].
Here, the numerical value is 2.630007 and power of 10 is [tex]10^{11}[/tex].
Now, the power of 10 is 11 which is positive. So, Levi has answered incorrectly.
For more details, refer the link:
https://brainly.com/question/1705769?referrer=searchResults
