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Mass of earth is $5.97 × 1024$ kg and mass of moon is $7.35 × 1022$ kg. The total mass of the two is:

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2.0195 × 1022

6.0435 × 1034

6.1 × 1021

6.0435 × 1024

answer is D.

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Detailed Solution

Given mass of earth is

5.97 × 1024

kg and mass of moon is

7.35 × 1022

kg.
Using property of exponents,

a m × a n = a m + n

Firstly, removing the decimals and converting into normal form.
Mass of earth is,

= 5.97 × 10 2 + 22

= 5.97 × 102 × 1022

= 597100 × 102 × 1022

= 597 × 1022

Now adding mass of earth and moon,

= 597 × 1022 + 7.35 × 1022

= (597 + 7.35) × 1022

= 604.35 × 1022

= 6.0435 × 100 × 1022

= 6.0435 × 102 × 1022

= 6.0435 × 10 2 + 22

Total mass is

6.0435 × 1024

kg.
Hence, option 4 is correct.

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