7. The distance from Earth to the sun is approximately how many × the diameter of Earth?
Answer: C
The distance from Earth to the sun is approximately 11,000 times the diameter of Earth.
To determine how many times the diameter of Earth fits into the distance from Earth to the sun, we can calculate the ratio of the two measurements. The distance from Earth to the sun is approximately 9 * 10^7 miles, and the diameter of Earth is approximately 8,000 miles. Dividing these values yields approximately 11,250, which rounds to 11,000.
A) 1,000
This option is incorrect because 1,000 times the diameter of Earth would only account for a distance of 1,000 * 8,000 = 8,000,000 miles, which is significantly less than the actual distance of approximately 9 * 10^7 miles.
B) 9,000
This option is also incorrect as it suggests that the distance is 9,000 times the diameter of Earth. Calculating this gives 9,000 * 8,000 = 72,000,000 miles, which is still less than the distance from Earth to the sun.
C) 11,000
This option is correct. When dividing the distance from Earth to the sun (approximately 9 * 10^7 miles) by the diameter of Earth (approximately 8,000 miles), the result is roughly 11,250, which is best represented by rounding to 11,000.
D) 90,000
This option is incorrect because 90,000 times the diameter of Earth would equal 90,000 * 8,000 = 720,000,000 miles, far exceeding the actual distance from Earth to the sun.
E) 9,000,000
This option is incorrect since it implies a distance that is far too large. 9,000,000 times the diameter of Earth would equal 9,000,000 * 8,000 = 72,000,000,000 miles, which is not in line with the distance from Earth to the sun.
Conclusion
The correct answer is C, as it accurately reflects the calculation showing that the distance from Earth to the sun is approximately 11,000 times the diameter of Earth. All other options either underestimate or overestimate this distance, failing to align with the mathematical relationship established by the given measurements.