Question

The speed of light is approximately 3×10^5 kilometers per second. How long does it take sunlight to reach Jupiter? Write your answer in scientific notation and in standard form.

Answer 1

time = distance/velocity

$= \frac{7.8 \times {10}^{8} }{3 \times {10}^{5} } \\ = \frac{7.8}{3} \times \frac{ {10}^{8} }{ {10}^{5} } \\ = 2.6 \times {10}^{8 - 5} \\ = 2.6 \times {10}^{3} \\ = 2600$

seconds

or 43 mins 20 seconds

Answer 2

Answer:

Scientific notation: t = 2.333 × 10³ s

Standard notation: t = 2 333 s

Step-by-step explanation:

Thinking process:

Let the speed of light be = 3 × 10⁵ m/s

The distance  = 7 × 10⁸ m/s

Then the time is given by: t = $\frac{average distance}{average speed}$

                                           t(s)= $\frac{7*10^{8} }{3*10^{5} } \\2 333 s$

In standard notation: t = 2 333 s

in scientific notation, t = 2.333 × 10³ s