Question
The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Answers
GPT 3.5
To find the difference in mass between the Golden Gate Bridge and the Eiffel Tower, we need to subtract the mass of the Eiffel Tower from the mass of the Golden Gate Bridge:
Mass difference = Mass of Golden Gate Bridge - Mass of Eiffel Tower
Mass difference = (8.05 ⋅ 10^8 kg) - (9.16 ⋅ 10^6 kg)
Next, we can simplify the calculation by converting both masses to the same power of 10:
Mass difference = (8.05 ⋅ 10^8 kg) - (0.916 ⋅ 10^8 kg)
Mass difference = 8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^8 kg
Mass difference = (8.05 - 0.916) ⋅ 10^8 kg
Mass difference = 7.134 ⋅ 10^8 kg
Therefore, the mass of the Golden Gate Bridge is approximately 7.134 ⋅ 10^8 kilograms more than the mass of the Eiffel Tower.
Mass difference = Mass of Golden Gate Bridge - Mass of Eiffel Tower
Mass difference = (8.05 ⋅ 10^8 kg) - (9.16 ⋅ 10^6 kg)
Next, we can simplify the calculation by converting both masses to the same power of 10:
Mass difference = (8.05 ⋅ 10^8 kg) - (0.916 ⋅ 10^8 kg)
Mass difference = 8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^8 kg
Mass difference = (8.05 - 0.916) ⋅ 10^8 kg
Mass difference = 7.134 ⋅ 10^8 kg
Therefore, the mass of the Golden Gate Bridge is approximately 7.134 ⋅ 10^8 kilograms more than the mass of the Eiffel Tower.