When we want to compare two quantities with the same units, we can divide the tw

Question

When we want to compare two quantities with the same units, we can divide the two numbers and express the result as a ratio. For example, about 38 million people live in California, and 19 million live in Florida. N_CA/N_FL - 38,000,000/19,000,000 = 2 The ratio of Californians to Floridians is about 38 million divided by about 19 million, or about 2; there are approximately twice as many people living in California as in Florida. Ratios are very useful in astronomy because they can save a lot of work and aid understanding. For example, Jupiter is 778 million kilometers from the Sun, or 7.78 times 10^8 km. It is hard to comprehend that distance because it is so much larger than anything familiar. Using a ratio makes the distance to Jupiter meaningful. The Earth 1.50 times 10^8 km from the Sun. How many times further away from the Jupiter than the Earth? What are the units of a ratio?

Explanation / Answer

Answer:

further jupiter distance from the earth is

(7.78 - 1.5) x 108 / (1.5 x 108 ) = 4 times

Ratio:

7.78/1.5 = 5 times

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