Question

Im Stuck on this question

Answer 1

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

Step-by-step 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