Question

1. if a day on venus is 3.87 x 10^5 sec long. how many earth days are in a venus day? you must show your work here!!!

Explanation:

Step1: Know the number of seconds in an Earth - day

There are 24 hours in a day, 60 minutes in an hour and 60 seconds in a minute. So the number of seconds in an Earth - day is $24\times60\times60=86400$ seconds.

Step2: Calculate the number of Earth - days in a Venus - day

Let $n$ be the number of Earth - days in a Venus - day. We know that the length of a Venus - day is $3.87\times 10^{5}$ seconds and the length of an Earth - day is 86400 seconds. Then $n=\frac{3.87\times 10^{5}}{86400}$.
First, rewrite $86400 = 8.64\times10^{4}$. Then $n=\frac{3.87\times 10^{5}}{8.64\times10^{4}}$.
Using the rule of exponents $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we have $n=\frac{3.87}{8.64}\times10^{5-4}$.
$\frac{3.87}{8.64}\approx0.448$, and $10^{5 - 4}=10^{1}=10$. So $n\approx4.48$.

Answer:

4.48 Earth - days