Answer:
(1.989×10^27 kg) × (10^6 mg/kg) = 1.989×10^33 mg
(1.989×10^33 mg) × (10^-6 kg/mg) = 1.989×10^27 kg
Explanation:
"kilo-" and "milli-" are SI prefixes for the mass unit "gram". Respectively, they mean 10^3 and 10^-3 of the unit whose name they're attached to.
So, 1 kg = 1000 g, and 1 mg = 0.001 g. Hence 1 kg = 10^6 mg.
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Using this fact, we can express the mass of Jupiter as ...
1.989×10^27 kg = (1.989×10^27)(10^6 mg) = 1.989×10^33 mg
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We can multiply the above kg/mg relation by 10^-6 and get ...
10^-6 kg = 1 mg
Then we can express the mass of Jupiter as ...
1.989×10^33 mg = (1.989×10^33)(10^-6 kg) = 1.989×10^27 kg