Question

the diameter of earth is $7.9175\times10^3$ miles.
how is $7.9175\times10^3$ written in standard notation?
a 0.0079175
b 79175
c 7,917.5
d 79.175

Explanation:

Step1: Recall scientific notation to standard

To convert \(7.9175\times10^{3}\) to standard notation, we move the decimal point 3 places to the right (since the exponent of 10 is 3).

Step2: Perform the conversion

Starting with \(7.9175\), moving the decimal 3 places right: \(7.9175\times10^{3}=7917.5\)? Wait, no, wait. Wait, \(10^{3}=1000\), so \(7.9175\times1000 = 7917.5\)? Wait, no, the options: Wait, the problem says "7.9175×10³" (wait, maybe a typo? Wait the image says "7.9175×10³" or maybe "7.9175×10^3" but the options: B is 79175? Wait no, the image: Let me re - examine. The problem: "The diameter of Earth is 7.9175×10³ miles. How is 7.9175×10³ written in standard notation?" Wait, maybe the exponent is 4? Wait no, the options: A: 0.0079175, B:79175, C:7917.5, D:79.175. Wait, no, \(7.9175\times10^{3}=7.9175\times1000 = 7917.5\)? But that's not an option. Wait, maybe the exponent is \(10^{4}\)? Wait, no, the image: Wait the user's image: "7.9175×10³" but the options: B is 79175, C is 7917.5, D is 79.175, A is 0.0079175. Wait, maybe the exponent is \(10^{4}\)? Wait, no, let's check again. Wait, \(7.9175\times10^{3}=7917.5\) (C option is 7917.5). Wait, maybe the original problem has a typo, but based on the options, C is 7917.5, which is \(7.9175\times10^{3}\) (since \(7.9175\times1000 = 7917.5\)).

Answer:

C. 7917.5