Jim's music library on his phone holds 1,900 songs. The songs have an average time of 3.5 minutes each.

Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.

A) \(2.1225 \times 10^4\) seconds
B) \(6.65 \times 10^3\) seconds
C) \(3.57 \times 10^6\) seconds
D) \(7.65 \times 10^3\) seconds

The total playtime of the songs in Jim's library, converted to seconds, is 3.99 x 10^5 seconds. This involves converting the average song length to seconds and multiplying by the total number of songs. The provided answer options do not seem to match this result.

Explanation:

To find the total number of seconds the playlist will play, we need to multiply the total number of songs by the average time each song plays and convert the time from minutes to seconds. Here's how we do it:

Firstly, convert the average time for each song from minutes to seconds. Since 1 minute is equivalent to 60 seconds, we multiply 3.5 minutes by 60, and obtain 210 seconds.
Then multiply the total number of songs, 1900, by the average time each song plays in seconds, which is 210. So we multiply 1900 by 210 and get 3.99 x 10^5 seconds.

However, none of the provided answer options matches this result. Are you sure the provided options are correct? Remember that scientific notation should always consist of a number between 1 and 10 multiplied by a power of 10.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

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