Question

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The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation.

Answer 1

`\text{mass of freight train} = 9.98 * {10}^(6) kg`


`\text{mass of aircraft carrier} = 7.3 * {10}^(7) \: kg`


`\text{difference of masses of aircraft and train: } \\ \\ 7.3 * {10}^(7) - 9.98 * {10}^(6) \\ \\ = 73 * {10}^(6) - 9.98 * {10}^(6)`


`= (73 - 9.98 )* {10}^(6) \\ \\ = 63.02 * {10}^(6) \\ \\ = 6.302 * {10}^(6) \: kg \\ \\ \approx 6.3 * {10}^(6) \: kg`

Approximately, aircraft carrier is 6.3 × 10^6 kg heavier than the freight train.