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Chapter 0: Problem 122

Convert 365 days (one year) to hours, to minutes, and, finally, to seconds, to determine how many seconds there are in a year. Express the answer in scientific notation.

Short Answer

Expert verified
The total number of seconds in one year, expressed in scientific notation, is \(3.1536 \times 10^7\) seconds.

Step by step solution

01

Convert Days to Hours

Start with the number of days in one year, which is 365 days. To convert this to hours, use the conversion factor \(1 day = 24 hours\). Multiply 365 days with 24 to get the total hours in a year.
02

Convert Hours to Minutes

With the total hours in a year calculated, now convert this into minutes. Use the conversion factor \(1 hour = 60 minutes\). Multiply the result from Step 1 by 60 to get the total minutes in a year.
03

Convert Minutes to Seconds

Next, convert the total minutes in a year to seconds using the conversion factor \(1 minute = 60 seconds\). Multiply the result from Step 2 by 60 to obtain the total seconds in a year.
04

Convert to Scientific Notation

Having calculated the total number of seconds in a year, the final step is to express this number in scientific notation. Remember that scientific notation has this form: \(a \times 10^n\), where \(1 \leq |a| < 10\) and \(n\) is an integer. Divide the total seconds by a power of ten to get the number \(a\) and the exponent \(n\).

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