Mathematics
Mathematics, 02.11.2020 16:10, la200564

Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams. Use the following data tables to complete parts I, II, and III. Sara:

PlanetMass (in kilograms)
Jupiter1.989 · 1027
Saturn5.685 · 1026
Neptune1.024 · 1026
Uranus8.681 · 1025
Earth5.974 · 1024
Venus4.869 · 1024
Mars6.419 · 1023
Mercury3.302 · 1023
Pluto1.31 · 1022
Sam:

PlanetMass (in milligrams)
Jupiter1.989 · 1033
Saturn5.685 · 1032
Neptune1.024 · 1032
Uranus8.681 · 1031
Earth5.974 · 1030
Venus4.869 · 1030
Mars6.419 · 1029
Mercury3.302 · 1029
Pluto1.31 · 1028
Part I: Although both data tables represent correct data for each of the planet’s masses, who represented Jupiter’s mass with the most appropriate units, Sara or Sam?
Part II: In two or more complete sentences, explain your reasoning for your answer in Part I.
Part III: Use multiplication, division, and scientific notation to show that Sara’s representation of Jupiter’s mass in kilograms is equal to Sam’s representation of Jupiter’s mass in milligrams.
Use milligrams to prove that 1.989 · 1027 kilograms is equal to 1.989 · 1033 milligrams.
Use kilograms to prove that 1.989 · 1033 milligrams is equal to 1.989 · 1027 kilograms.

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