The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 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)
To find how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower, we subtract the mass of the Eiffel Tower from the mass of the Golden Gate Bridge.
Mass of Golden Gate Bridge - Mass of Eiffel Tower = 8.05 ⋅ 10^8 kg - 9.16 ⋅ 10^6 kg
To subtract these numbers in scientific notation, we need to make sure the exponents are the same. To do this, we can rewrite the mass of the Eiffel Tower in scientific notation with the same exponent as the mass of the Golden Gate Bridge.
Mass of Eiffel Tower = 9.16 ⋅ 10^6 kg = 0.916 ⋅ 10^7 kg
Now we can subtract the two masses:
8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^7 kg = 8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^7 kg = 8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^8 kg = (8.05 - 0.916) ⋅ 10^8 kg
(8.05 - 0.916) ⋅ 10^8 kg = 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.
To find the difference in mass between the Golden Gate Bridge and the Eiffel Tower, we subtract the mass of the Eiffel Tower from the mass of the Golden Gate Bridge.
Mass of Golden Gate Bridge = 8.05 * 10^8 kilograms
Mass of Eiffel Tower = 9.16 * 10^6 kilograms
Difference in mass = Mass of Golden Gate Bridge - Mass of Eiffel Tower
Difference in mass = (8.05 * 10^8) - (9.16 * 10^6)
To subtract the two values, we need to convert both to the same power of 10.
Let's convert the mass of the Eiffel Tower to scientific notation with the same exponent as the Golden Gate Bridge.
9.16 * 10^6 kilograms = 0.916 * 10^7 kilograms
Now we can calculate the difference:
Difference in mass = (8.05 * 10^8) - (0.916 * 10^7)
To perform the subtraction, we need the same base, so we can rewrite the equation as follows:
Difference in mass = (8.05 - 0.916) * 10^8
Difference in mass = 7.13 * 10^8 kilograms
Therefore, the mass of the Golden Gate Bridge is approximately 7.13 * 10^8 kilograms more than the mass of the Eiffel Tower.
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.
The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms, and the mass of the Eiffel Tower is 9.16 ⋅ 10^6 kilograms.
Subtracting the mass of the Eiffel Tower from the mass of the Golden Gate Bridge:
8.05 ⋅ 10^8 kg - 9.16 ⋅ 10^6 kg
To subtract numbers in scientific notation, we need to make sure both numbers have the same exponent. In this case, we can convert the mass of the Eiffel Tower to scientific notation with the same exponent as the Golden Gate Bridge.
9.16 ⋅ 10^6 kg = 0.916 ⋅ 10^7 kg
Now we can subtract:
8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^7 kg
The difference is:
8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^7 kg = 8.05 ⋅ 10^8 kg - 0.916 ⋅ 10^7 kg = 8.05 ⋅ 10^8 kg - 0.0916 ⋅ 10^8 kg
Subtracting the coefficients:
8.05 - 0.0916 = 7.9584
The final result in scientific notation is:
7.9584 ⋅ 10^8 kg