Question

The mass of planet Mercury is 3.3x10^23 kilograms the mass of planet Jupiter is 5.8 x 10^3 times the mass of planet Mercury. planet Jupiter is 3.2×10^2 times the mass of planet Earth.
1. using scientific notation what is the mass of planet Jupiter?
2. using scientific notation what is the mass of planet earth?

Answer 1

1. Let J be the mass of Jupiter and this may be expressed as,
               J = (5.8 x 10^3)(3.3 x 10^23)
The answer to the operation above is 1.914 x 10^27. In correct scientific notation, the answer would be 1.91 x 10^27 kg. 
2. The same as what had been done in the previous number, let E be the mass of Earth. 
                 1.91 x 10^27 = (3.2 x 10^2) x E
The value of E is equal to 5.97 x 10^24. In correct scientific notation, the answer would be 6.0 x 10^24 kg. 

Answer 2

Answer: Answers may vary depending on the source you use to find the values. However, the power of 10 and the numeral in the ones place of the first factor should be the same as in this sample answer.

Earth’s moon: The mass of Earth’s moon is 73,500,000,000,000,000,000,000 kilograms. This number is greater than 1, so the power of 10 in scientific notation will be positive. The decimal point should be placed after the first digit, 7, to get the first factor as 7.35. That requires moving the decimal point 22 places to the left. So, the power of 10 will be 22. The mass of the moon expressed in scientific notation is 7.35 × 1022 kilograms.

Use the same method to write the other numbers in scientific notation:

Mercury: 330,000,000,000,000,000,000,000 kilograms, or 3.30 × 1023 kilograms.

Venus: 4,870,000,000,000,000,000,000,000 kilograms, or 4.87 × 1024 kilograms.

Jupiter: 1,900,000,000,000,000,000,000,000,000 kilograms, or 1.90 × 1027 kilograms.

Saturn: 568,000,000,000,000,000,000,000,000 kilograms, or 5.68 × 1026 kilograms.

Uranus: 86,800,000,000,000,000,000,000,000 kilograms, or 8.68 × 1025 kilograms.

Neptune: 102,000,000,000,000,000,000,000,000 kilograms, or 1.02 × 1026 kilograms.

Phobos: 10,700,000,000,000,000 kilograms, or 1.07 × 1016 kilograms.

Ariel: 1,350,000,000,000,000,000,000 kilograms, or 1.35 × 1021 kilograms.

Titan: 135,000,000,000,000,000,000,000 kilograms, or 1.35 × 1023 kilograms.