Jims music library on his phone holds 1,900 songs. The songs have an average time 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 place.

a 3.99 x 10^5 seconds
b 3.99 x 10^4 seconds
c 3.99 x 10^6 seconds
d 3.99 x 10^3 seconds

1 answer

To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average time of a song.

Number of songs: 1,900
Average time of a song: 3.5 minutes

Total time: 1,900 songs * 3.5 minutes/song

Converting minutes to seconds: 3.5 minutes * 60 seconds/minute

Total time: 1,900 songs * 3.5 minutes/song * 60 seconds/minute

Simplifying the expression: 1,900 * 3.5 * 60 seconds

Using a calculator, we get the result as 399,000 seconds.

Expressed in scientific notation, this is 3.99 x 10^5 seconds.

Therefore, the answer is a) 3.99 x 10^5 seconds.