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 seconds the playlist will play. Express the answer to the exact decimal place.(1 point)
Responses
3.99×103 seconds
3.99 times 10 cubed seconds
0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds
3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds
3.99×105 seconds
3.99 times 10 to the power of 5 seconds
To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average time of each song.
First, let's convert the average time of each song from minutes to seconds.
3.5 minutes = 3.5 * 60 seconds = 210 seconds
Now, we can calculate the total number of seconds:
Number of songs * Average time per song = 1,900 songs * 210 seconds = 399,000 seconds
Expressing this in scientific notation, we get:
3.99 × 10^5 seconds
Therefore, the correct answer is: 3.99 × 10^5 seconds
To find the total number of seconds Jim's playlist will play, we need to multiply the number of songs by the average time of each song in minutes and then convert it to seconds.
First, multiply the number of songs (1,900) by the average time of each song (3.5 minutes):
1,900 songs * 3.5 minutes = 6,650 minutes
To convert minutes to seconds, we multiply by 60 since there are 60 seconds in a minute:
6,650 minutes * 60 seconds = 399,000 seconds
To express this in scientific notation, we can write 399,000 as 3.99 x 10^5 seconds.