Jim's 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 second the playlist will play. Express the answer to the exact decimal place.
1. 2.99 x 10^4 seconds
2. 3.99 x 10^3 seconds
3. 3.99 x 10^5 seconds
4. 0.399 x 10^6 seconds
To find the total number of seconds in Jim's playlist, we need to multiply the number of songs (1,900) by the average time of each song (3.5 minutes), and then convert the result to seconds.
Number of songs: 1,900
Average time per song: 3.5 minutes
Total time = 1,900 * 3.5 minutes
To convert minutes to seconds, we multiply by 60, since there are 60 seconds in a minute:
Total time = 1,900 * 3.5 * 60 seconds
Multiplying these values together, we get:
Total time = 399,000 seconds
This is equivalent to 3.99 x 10^5 seconds.
Therefore, the answer is option 3. 3.99 x 10^5 seconds.
To find the total number of seconds that the playlist will play, we need to multiply the number of songs by the average time per song and convert it to scientific notation.
Total number of seconds = (1,900 songs) x (3.5 minutes/song) x (60 seconds/minute)
Total number of seconds = 1,900 x 3.5 x 60
Calculating the above multiplication, we get:
Total number of seconds = 399,000 seconds
To express this answer in scientific notation, we can write it as 3.99 x 10^5 seconds.
So, the correct answer is option 3: 3.99 x 10^5 seconds.
To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average song time in minutes and then convert it to seconds.
Given:
Number of songs = 1,900
Average song time = 3.5 minutes
To convert the average song time to seconds, we multiply by 60 since there are 60 seconds in a minute:
Average song time in seconds = 3.5 minutes * 60 seconds/minute
Average song time in seconds = 210 seconds
Now, to find the total number of seconds the playlist will play, we multiply the number of songs by the average song time in seconds:
Total time = 1,900 songs * 210 seconds/song
Total time = 399,000 seconds
Expressed in scientific notation, 399,000 seconds is equivalent to 3.99 x 10^5 seconds.
Therefore, the correct answer is option 3: 3.99 x 10^5 seconds.