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In this activity, you will express the mass of planets and moons in standard notation and scientific notation. Use the Internet to find the mass in kilograms of each celestial body listed.

Express the mass of these planets and moons in both standard and scientific notation. If necessary, round the numbers so that the first factor goes only to the hundredths place.

Earth’s moon
Mercury
Venus
Jupiter
Saturn
Uranus
Neptune
Phobos
Ariel
Titan

Sagot :

The mass of planets and moons is so great that it is generally expressed in scientific notation by the large number of numbers they have.

What is scientific notation?

Scientific notation is a way of writing numbers based on powers of 10 used in science like:

  • Math
  • Arithmetic
  • Calculation
  • Physical
  • Chemistry
  • Among other.

Scientific notation is especially useful for representing very large or small values and for calculating with them.

According to different studies, it was established that the mass of the planets and moons is:

  • Earth: M = 5,9722 × [tex]10^{24}[/tex] kg - 5972200000000000000000000 kg
  • Moon: 7,349 × [tex]10^{22}[/tex] kg - 73490000000000000000000 kg
  • Mercury: 3,285 × [tex]10^{23}[/tex] kg - 328500000000000000000000 kg
  • Venus: 4,867 × [tex]10^{24}[/tex] kg - 4867000000000000000000000 kg
  • Jupiter: 1,898 × [tex]10^{27}[/tex] kg - 1898000000000000000000000000 kg
  • Saturn: 5,683 × [tex]10^{26}[/tex] kg - 568299999999999940000000000 kg
  • Uranus: 8,681 × [tex]10^{25}[/tex] kg - 86810000000000000000000000 kg
  • Neptune: 1,024 × [tex]10^{26}[/tex] kg - 102400000000000000000000000 kg
  • Phobos: 1,072 × [tex]10^{16}[/tex] kg - 10720000000000000 kg
  • Ariel: 1,35 × [tex]10^{21}[/tex] kg - 1350000000000000000000 kg
  • Titan: 1,345 × [tex]10^{23}[/tex] kg - 134499999999999980000000 kg

Learn more about scientific notation in: https://brainly.com/question/1740231

Answer:

Answers may vary depending on the source you use to find the values. However, the power of 10 and the numeral in the one 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.

Step-by-step explanation: PLATO answer

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