Consider the following information.

1 hour = 3.6 · 103 seconds
1 day = 24 hours
1 year = 3.65 · 102 days

Use scientific notation to calculate the number of hours in one year. In your final answer, include all of your calculations.

Respuesta :

1 hour = 3.6 x 10^3 seconds
1 day = 24 hours
1 year = 3.65 x 10^2 days

By process of dimensional analysis:
1 yr x 3.65x10^2 days/1 yr x 24hrs/1day = 8,760 hours

In scientific notation: 8.760 x 10^3 hours

Answer: [tex]1\text{ year}=8.76\times10^3\text{ hours}[/tex]

Step-by-step explanation:

Given: [tex]\text{1 hour}=3.6\times10^3\text{ seconds}[/tex]

[tex]\\1\text{ day=24 hours}...................(1)\\\text{1 year = }3.65\times10^\text{ days}[/tex]

[tex]\\\Rightarrow\ 1\text{ year}=3.65\times10^2\times24\text{ hours}...........(\text{ from (1)})\\\Rightarrow\ 1\text{ year}=3.65\times24\times10^2\text{ hours}\\\Rightarrow\ 1\text{ year}=87.6\times10^2\text{ hours}\\\Rightarrow\ 1\text{ year}=8.76\times10^3\text{ hours}................\text{In scientific notation}[/tex]

Hence, [tex]1\text{ year}=8.76\times10^3\text{ hours}[/tex]

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