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The average distance between the Sun and a certain planet is [#permalink]
15 Oct 2012, 03:36

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Difficulty:

25% (medium)

Question Stats:

68% (02:19) correct
32% (01:13) wrong based on 327 sessions

The average distance between the Sun and a certain planet is approximately 2.3 x 10^14 inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)

(A) 7.1 x 10^8 (B) 5.9 x 10^9 (C) 1.6 x 10^10 (D) 1.6 x 10^11 (E) 5.9 x 10^11

Practice Questions Question: 65 Page: 161 Difficulty: 650

Re: The average distance between the Sun and a certain planet is [#permalink]
15 Oct 2012, 03:36

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SOLUTION

The average distance between the Sun and a certain planet is approximately 2.3 x 10^14 inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)

(A) 7.1 x 10^8 (B) 5.9 x 10^9 (C) 1.6 x 10^10 (D) 1.6 x 10^11 (E) 5.9 x 10^11

The distance in kilometers would be: \frac{2.3*10^{14}}{3.9*10^4}\approx{\frac{23*10^{13}}{4*10^4}}\approx{6*10^9}.

Re: The average distance between the Sun and a certain planet is [#permalink]
15 Oct 2012, 03:42

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Distance between the Sun and a certain planet in Inches = 2.3 x 10^14 1 kilometer = 3.9 x 10^4 inches Distance between the Sun and a certain planet in Km = (2.3 x 10^14)/ (3.9 x 10^4) = (23/39) * 10^10 = (230/39) * 10^9 = 5.9 * 10^9

Answer B _________________

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Re: The average distance between the Sun and a certain planet is [#permalink]
15 Oct 2012, 04:04

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Good question.

I took 2.3 x 10^14and rounded down to 2*10^14, and took 3.9*10^4 and rounded up to 4*10^4.

Then, I did a unit conversion from Inches to Kilometers: (2*10^14 Inches) * (\frac{1 Kilometer}{(4*10^4 Inches)})

Canceling out, we get \frac{(2*10^14 Inches)}{(4*10^4 Inches)}*1 Kilometer = 0.5*10^10 Kilometer or 5*10^9 Kilometers

Since we rounded to begin with, we have to look for the solution that is both closest to our answer AND makes the most sense. In this case, the answer is

The average distance between the Sun and a certain planet is approximately 2.3 x 10^14 inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)

(A) 7.1 x 10^8 (B) 5.9 x 10^9 (e) 1.6 x 10^10 (0) 1.6 x 10^11 (E) 5.9 x 10^11

Practice Questions Question: 65 Page: 161 Difficulty: 650

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Re: The average distance between the Sun and a certain planet is [#permalink]
19 Oct 2012, 03:56

Expert's post

SOLUTION

The average distance between the Sun and a certain planet is approximately 2.3 x 10^14 inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)

(A) 7.1 x 10^8 (B) 5.9 x 10^9 (C) 1.6 x 10^10 (D) 1.6 x 10^11 (E) 5.9 x 10^11

The distance in kilometers would be: \frac{2.3*10^{14}}{3.9*10^4}\approx{\frac{23*10^{13}}{4*10^4}}\approx{6*10^9}.

Answer: B.

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Re: The average distance between the Sun and a certain planet is [#permalink]
22 Oct 2012, 08:04

Bro Bunuel, I wonder who you are and BB also declared you as the mystery man.. but you are doing an awesome job out here! thank you for all your help. My Question is

what if 6.1 x 10^9 is also one of the answer choices? what will your approach be in this case? _________________

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Re: The average distance between the Sun and a certain planet is [#permalink]
29 Jun 2014, 06:58

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