What decimal of an hour is a second?
Understand the Problem
The question is asking to convert a second into its decimal fraction when expressed in terms of an hour. Essentially, we need to understand how many seconds fit into an hour and then calculate the decimal representation of one second in that total.
Answer
The decimal representation of one second in an hour is approximately $0.00027778$.
Answer for screen readers
The decimal representation of one second in terms of an hour is approximately $0.00027778$.
Steps to Solve
-
Determine the total seconds in an hour
Since 1 hour is defined as 3600 seconds, this is our total amount for the hour. -
Calculate the fraction representing one second
To find how one second is expressed as a fraction of an hour, we set up the fraction:
$$ \text{Fraction} = \frac{1 \text{ second}}{3600 \text{ seconds}} $$ -
Convert the fraction to a decimal
To convert the fraction to a decimal, we divide the numerator by the denominator:
$$ \text{Decimal} = \frac{1}{3600} \approx 0.00027778 $$
Thus, one second expressed as a decimal of an hour is approximately 0.00027778.
The decimal representation of one second in terms of an hour is approximately $0.00027778$.
More Information
This decimal helps in understanding how small one second is compared to an hour, highlighting the vast difference in scale. It illustrates the relationship between time units effectively.
Tips
- Dividing incorrectly: Ensure that 1 is being divided by 3600 accurately, as mistakes in division can lead to incorrect decimal values.
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