The age of the Earth is approximately 1.3 *10^17 seconds, and one year is approximately 3.2*10^7 seconds. Which of the following is closest to the age of the Earth in years?
2.5*10^9
4.1*10^9
1.9*10^10
2.5*10^11
4.1*10^11
Set up a PROPORTION and round values to the nearest MULTIPLE OF 10.
(3.2)(10�) seconds / 1 year = (1.3)(10¹�) seconds / x years
x =
= (1.3)(10¹�) / (3.2)(10�)
= (13/32)(10¹�)
= (39/96)(10¹�)
≈ (40/100)(10¹�)
≈ (4/10)(10¹�)
≈ 4 * 10�.
The correct answer is
B.
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