Respuesta :
Answer:
I) There are [tex]8.760\times 10^3[/tex] hours in 1 year.
II) The exact number of hours in one year is [tex]8.76582\times 10^3[/tex] hours.
Step-by-step explanation:
Given : 1 hour=3600 seconds
1 year = 31556952 seconds.
To find :
I) Use scientific notation to estimate the number of hours in one year.
1 day = 24 hours
1 year = 365 days
So, number of hours in one year is given by,
[tex]n=24\times 365[/tex]
[tex]n=8760[/tex]
In scientific notation,
[tex]8760=8.760\times 10^3[/tex]
So, there are [tex]8.760\times 10^3[/tex] hours in 1 year.
II) 1 year = 31556952 seconds.
1 hour = 3600 seconds
In one year the number of hour is given by,
[tex]n=\frac{31556952}{3600}[/tex]
[tex]n=8765.82[/tex]
In scientific notation,
[tex]8765.82=8.76582\times 10^3[/tex]
So, the exact number of hours in one year is [tex]8.76582\times 10^3[/tex] hours.
III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.
- The exact numbers of hours using 365 days is 8760 which is written as [tex]8.760\times 10^3[/tex] in scientific notation but using the given data we get [tex]8.76582\times 10^3[/tex] hours.
- Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
- If we round these we get [tex]8.8\times 10^3[/tex] hours which has two significant numbers.
