Use scientific notation to solve the problem.
-A light-year is the distance that light travels in one year. Find the number of miles in a light-year if light travels $1.86 \times 10 ^ { 5 }$ miles per second.
A) $6.0 \times 10 ^ { 7 }$ miles
B) $6.0 \times 10 ^ { 12 }$ miles
C) $6.0 \times 10^{14}$ miles
D) $6.0 \times 10 ^ { 5 }$ miles

Question

Quizplus · Accepted Answer

To find the number of miles light travels in a year, multiply the distance light travels in a second by the number of seconds in a year. There are $60 \times 60 \times 24 \times 365 = 31,536,000$ seconds in a year (not accounting for leap years). Thus, $1.86 \times 10^5 \times 3.1536 \times 10^7 = 5.866 \times 10^{12}$, which rounds to $6.0 \times 10^{12}$ miles.

Use Scientific Notation to Solve the Problem 1.86×1051.86 \times 10 ^ { 5 }1.86×105

Use Scientific Notation to Solve the Problem $1.86 \times 10 ^ { 5 }$