Final answer:
The diameter of the sun is approximately 109.73 times greater than the diameter of Earth in meters, after converting both diameters from kilometers to meters.
Step-by-step explanation:
The student has asked how many meters times greater the diameter of the sun (1,400,000km) is than the diameter of Earth (12,740km). First, we convert the diameters from kilometers to meters by multiplying each by 1,000, because there are 1,000 meters in a kilometer. Therefore, the diameter of the sun in meters is 1,400,000km × 1,000 = 1.4 billion meters (1.4 × 10^9 m), and the diameter of Earth is 12,740km × 1,000 = 12.74 million meters (1.274 × 10^7 m). To find how many times greater the diameter of the sun is compared to Earth's diameter, we divide the sun's diameter in meters by the Earth's diameter in meters: 1.4 × 10^9 m / 1.274 × 10^7 m ≈ 109.73. Thus, the diameter of the sun is approximately 109.73 times greater than the diameter of Earth when measured in meters.