Question

Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

1 year = 31556952 secondsI. Use scientific notation to estimate the number of hours in one year. II. Use scientific notation to calculate the exact number of hours in one year. III. In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

Answer 1

I) There are
`8.760* 10^3` hours in 1 year.

II) The exact number of hours in one year is
`8.76582* 10^3` hours.

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,

`n=24* 365`

`n=8760`

In scientific notation,

`8760=8.760* 10^3`

So, there are
`8.760* 10^3` hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

`n=(31556952)/(3600)`

`n=8765.82`

In scientific notation,

`8765.82=8.76582* 10^3`

So, the exact number of hours in one year is
`8.76582* 10^3` 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
  `8.760* 10^3` in scientific notation but using the given data we get
  `8.76582* 10^3` 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
  `8.8* 10^3` hours which has two significant numbers.