Jim’s music library on his phone holds 1,900 songs. The songs have an average of 3.5 minutes. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal point

1 answer

To find the total number of seconds, we need to multiply the number of songs by the average duration of each song.

Number of songs: 1,900
Average duration per song: 3.5 minutes

Total number of seconds = Number of songs * Average duration per song (in seconds)

First, let's convert the average duration per song from minutes to seconds:
Average duration per song in seconds = 3.5 minutes * 60 seconds/minute = 210 seconds

Now we can calculate the total number of seconds the playlist will play:
Total number of seconds = 1,900 songs * 210 seconds/song

Total number of seconds = 399,000 seconds

Expressing the answer in scientific notation:
Total number of seconds = 3.99 x 10^5 seconds