Question

If Earth's moon has a diameter of 3.5×10^3 kilometers, and the planet Jupiter has a diameter of 1.4×10^5 kilometers, which of these statements is true?

a) The diameter of Earth's moon is about 40 times the diameter of Jupiter.

b) 

The diameter of Jupiter is about 40 times the diameter of Earth's moon.

c)  The diameter of Jupiter is about 2,500 times the diameter of Earth's moon.

d)  There is no way to compare the diameters.

Answer 1

B

Explanation:

Begin by answering this question: Which is bigger 10^5 or 10^3?

10^5 = 100,000

10^3 = 1000

So the correct answer is going to found by comparing the 10^5 number to the 10^3 number.

Jupiter: the Earth's moon :: 1.4*10^5 : 3.5 * 10^3

Jupiter / Earth's moon = 1.4 * 10^5 / 3.5 * 10^3

Jupiter/ Earth's moon = 40/1

That's a surprising result that I didn't know before. I thought the difference would be much larger.

As an add on can you do this on your calculator (using scientific notation)?

If not you could do it like this

Jupiter / earth's moon = 140000 / 3500