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 decimals place.

0.399 × 10⁶
3.99 × 10⁵
3.99 × 10⁴
3.99 × 10³

1 answer

To find the total number of seconds the playlist will play, we need to multiply the number of songs by the length of each song in seconds.

Number of songs: 1,900
Length of each song in minutes: 3.5 minutes

First, convert the length of each song from minutes to seconds:
3.5 minutes * 60 seconds/minute = 210 seconds

Next, multiply the number of songs by the length of each song in seconds:
1,900 songs * 210 seconds/song = 399,000 seconds

The total number of seconds the playlist will play is 399,000 seconds.

Written in scientific notation, this is expressed as 3.99 × 10⁵.