An astronomer estimated the distance from Earth to Mercury to be 5.7 × 107 miles, and the distance from Earth to Neptune to be 2.7 × 109 miles. He wanted to know how many times farther it is from Earth to Neptune than from Earth to Mercury. Consider his work.

1.
(2.7 x 10^9)
(5.9 x 10^7)
2.
(3.0/6.0) (10^9/10^7)
3.
0.5 x 10^2

The astronomer concluded that the distance in miles from Earth to Neptune is 50 times the distance from Earth to Mercury.

Is he correct? If not, what was his mistake?
A.Yes, he is correct.
B.No, the numerator and denominator need to be switched in the expression.
C.No, he needed to round down in his estimation of the coefficients.
D.No, he needed to multiply the coefficients.

The ratio of the distances from the Earth to Neptune and the Earth to Mercury is 0.5 × 10² times. Hence, the distance between the Earth to Neptune is 0.5 × 10² times farther than the distance between Earth to Mercury.

What is the ratio of two quantities?

The ratio of the two quantities is the comparison of one quantity to another quantity.

Given, the distance from Earth to Mercury to be 5.7 × 10⁷ miles.

The distance from Earth to Neptune to be 2.7 × 109 miles.

The ratio of the distances from the Earth to Neptune and from Earth to Mercury is

= (2.7 × 10⁹)/(5.7 × 10⁷)

= 0.47 × 10²

≈ 0.5 × 10²

Hence, the distance from the Earth to Neptune is 0.5 × 10² times farther than the distance from the Earth to Mercury.

Learn more about the ratio of two numbers here: https://brainly.com/question/17995727

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