Given that the average speed is distance divided by time, determine the values of m and n when the time it takes a beam of light to get from the sun to the earth in written scientific notation

Respuesta :

Answer:

m = 5 and n = 2

Explanation:

We know that the distance of the sun from the Earth is about 150 million km and the speed of light is [tex]3\times 10^8\ m/s[/tex].

Average speed = distance/time

or

time = distance/speed

[tex]150\ \text{million km} = 150\times 10^6\times 10^3\ m\\\\=150\times 10^9\ m[/tex]

So,

[tex]t=\dfrac{150\times 10^9\ m}{3\times 10^8\ m/s}\\\\t=500\ s[/tex]

In scientific notation :

[tex]t=5\times 10^2\ s[/tex]

The general form of scientific notation is [tex]m\times 10^n[/tex]

On comparing, we find that m = 5 and n = 2