Answer
The diameter of Earth is approximately 8091 miles.
Work Step by Step
Let x represent the diameter of Earth.
The diameter of Jupiter, which is approximately 89,000 miles, is 11 times larger than the diameter of Earth, so it is 11 $\times$ x = 11x.
We need to write 89,000 as the product of a number greater than or equal to 1 and less than 10, and an integral power of 10.
The number greater than or equal to 1 and less than 10 will be 8.9.
The decimal point has moved 4 places, so the exponent of 10 will be 4.
So, 89,000 = 8.9 $\times$ $10^{4}$
Since the diameter of Jupiter is also 11x, we solve the following equation:
11x = 8.9 $\times$ $10^{4}$
Divide both sides by 11.
x = $\frac{8.9}{11}$ $\times$ $10^{4}$ = 0.809090 $\times$ $10^{4}$ = 8090.9 $\approx$ 8091 miles
The diameter of Earth is approximately 8091 miles.
