Converting to SI units w/ significant digits & scientific notation

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Homework Help Overview

The discussion revolves around converting years into seconds, specifically focusing on the SI unit conversion and the application of significant digits and scientific notation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to convert 2 years into seconds and expresses the result in scientific notation, questioning the rounding difference between their answer and the book's answer.

Discussion Status

Participants are exploring the implications of using different values for the length of a year, with one suggesting that the book may have used 365.25 days instead of 365 days. This has led to further clarification about the average number of days in a year.

Contextual Notes

There is a mention of significant digits and the rules for scientific notation, as well as the lack of explicit reference to the average days in a year in the original problem statement.

delgeezee
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Hi.
I'm asked to convert 2 year into the SI Unit seconds:

Known:
1 Hr = 3600 s
1 Day = 86400 s

So using a calculator...
1 yr = 365*86,400 = 31,536,000

I want to express the answer in scientific notation:

Because the lesser number on has 3 significant digits, the scientific notation will also be expressed w/ 3 significant digits. Correct?

The coefficient in scientific notation must be greater then 1 and less then 10. Correct?

My answer:
3.15 * 10^{7}
Book's answer:
3.16 * 10^{7}

Why does the book's answer have it rounded up?
 
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They must have used 365.25 days for the length of a year.

Chet
 
Chestermiller said:
They must have used 365.25 days for the length of a year.

Chet

Thank you for the reply. At first I thought you were joking & the book made no mention. I had no idea 365.25 is the average number of days in a year.
 
delgeezee said:
Thank you for the reply. At first I thought you were joking & the book made no mention. I had no idea 365.25 is the average number of days in a year.

You might say it's a bit of a leap :smile:
 

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