Answer :
Sure! Let's find the total number of seconds all the songs in Jim's music library will play, using scientific notation.
1. Determine the number of songs and average time:
Jim's music library contains 1,900 songs. Each song has an average duration of 3.5 minutes.
2. Convert minutes to seconds:
Since there are 60 seconds in a minute, we convert the average time per song from minutes to seconds:
[tex]\( 3.5 \, \text{minutes} \times 60 \, \text{seconds/minute} = 210 \, \text{seconds} \)[/tex].
3. Calculate total time in seconds for all songs:
Multiply the total number of songs by the number of seconds per song to get the total number of seconds:
[tex]\( 1,900 \, \text{songs} \times 210 \, \text{seconds/song} = 399,000 \, \text{seconds} \)[/tex].
4. Express the total time in scientific notation:
To write 399,000 seconds in scientific notation, we find a number between 1 and 10 by moving the decimal 5 places to the left:
[tex]\( 399,000 = 3.99 \times 10^5 \)[/tex].
Therefore, the total number of seconds the playlist will play is [tex]\( 3.99 \times 10^5 \)[/tex] seconds.
1. Determine the number of songs and average time:
Jim's music library contains 1,900 songs. Each song has an average duration of 3.5 minutes.
2. Convert minutes to seconds:
Since there are 60 seconds in a minute, we convert the average time per song from minutes to seconds:
[tex]\( 3.5 \, \text{minutes} \times 60 \, \text{seconds/minute} = 210 \, \text{seconds} \)[/tex].
3. Calculate total time in seconds for all songs:
Multiply the total number of songs by the number of seconds per song to get the total number of seconds:
[tex]\( 1,900 \, \text{songs} \times 210 \, \text{seconds/song} = 399,000 \, \text{seconds} \)[/tex].
4. Express the total time in scientific notation:
To write 399,000 seconds in scientific notation, we find a number between 1 and 10 by moving the decimal 5 places to the left:
[tex]\( 399,000 = 3.99 \times 10^5 \)[/tex].
Therefore, the total number of seconds the playlist will play is [tex]\( 3.99 \times 10^5 \)[/tex] seconds.
