Answer :
To find the total number of seconds Jim's playlist will play, we can follow these steps:
1. Understand the given information:
- Jim's music library holds 1,900 songs.
- Each song has an average time of 3.5 minutes.
2. Convert the average time of each song to seconds:
- Since there are 60 seconds in a minute, multiply the average time in minutes by 60 to convert it to seconds:
[tex]\[
3.5 \text{ minutes} \times 60 \text{ seconds/minute} = 210 \text{ seconds}
\][/tex]
3. Calculate the total number of seconds for all songs:
- Multiply the total number of songs by the average time per song in seconds:
[tex]\[
1,900 \text{ songs} \times 210 \text{ seconds/song} = 399,000 \text{ seconds}
\][/tex]
4. Express the total time in scientific notation:
- In scientific notation, [tex]\(399,000\)[/tex] can be expressed as [tex]\(3.99 \times 10^5\)[/tex] seconds.
Therefore, the total number of seconds the playlist will play is [tex]\(3.99 \times 10^5\)[/tex] seconds.
1. Understand the given information:
- Jim's music library holds 1,900 songs.
- Each song has an average time of 3.5 minutes.
2. Convert the average time of each song to seconds:
- Since there are 60 seconds in a minute, multiply the average time in minutes by 60 to convert it to seconds:
[tex]\[
3.5 \text{ minutes} \times 60 \text{ seconds/minute} = 210 \text{ seconds}
\][/tex]
3. Calculate the total number of seconds for all songs:
- Multiply the total number of songs by the average time per song in seconds:
[tex]\[
1,900 \text{ songs} \times 210 \text{ seconds/song} = 399,000 \text{ seconds}
\][/tex]
4. Express the total time in scientific notation:
- In scientific notation, [tex]\(399,000\)[/tex] can be expressed as [tex]\(3.99 \times 10^5\)[/tex] seconds.
Therefore, the total number of seconds the playlist will play is [tex]\(3.99 \times 10^5\)[/tex] seconds.
