Question

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:

Planet Mass (in kilograms)
Jupiter 1.989 · 10^27
Saturn 5.685 · 10^26
Neptune 1.024 · 10^26
Uranus 8.681 · 10^25
Earth 5.974 · 10^24
Venus 4.869 · 10^24
Mars 6.419 · 10^23
Mercury 3.302 · 10^23
Pluto 1.31 · 10^22
Sam:

Planet Mass (in milligrams)
Jupiter 1.989 · 10^33
Saturn 5.685 · 10^32
Neptune 1.024 · 10^32
Uranus 8.681 · 10^31
Earth 5.974 · 10^30
Venus 4.869 · 10^30
Mars 6.419 · 10^29
Mercury 3.302 · 10^29
Pluto 1.31 · 10^28
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 · 10^27 kilograms is equal to 1.989 · 10^33 milligrams.
Use kilograms to prove that 1.989 · 10^33 milligrams is equal to 1.989 · 10^27 kilograms.

Answer 1

Answer:

Sara's data more appropriate

Step-by-step explanation:

SI base unit is kg  for Mass

Hence Sara's data for Jupiter as 1.989 · 10²⁷  kg is more appropriate than

Sam's 1.989 · 10³³  mg Data

1.989 · 10²⁷  kg

1kg = 1000 g

1g = 1000 mg

=> 1kg = 1000 * 1000 mg

=> 1 kg = 10⁶ mg

hence 1.989 · 10²⁷  kg = 1.989 · 10²⁷  * 10⁶ mg

= 1.989 · 10³³  mg

= Sam's Data