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)
O 3.99 x 104 seconds
O 0.399 × 10° seconds
O 3.99 × 105 seconds
O 3.99 × 10⅔ 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 in minutes and then convert it to seconds.
Number of songs: 1,900
Average time of each song: 3.5 minutes
Total time in minutes: 1,900 songs × 3.5 minutes/song = 6,650 minutes
Now, we need to convert the time in minutes to seconds. Since there are 60 seconds in a minute, we multiply the total time in minutes by 60:
Total time in seconds: 6,650 minutes × 60 seconds/minute = 399,000 seconds
Expressing this in scientific notation:
3.99 × 10^5 seconds
Therefore, the correct answer is 3.99 × 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 time in minutes and convert it to seconds.
Number of songs = 1,900
Average time per song = 3.5 minutes
Total time in seconds = (1,900 songs) * (3.5 minutes/song) * (60 seconds/minute)
Calculating this, we get:
Total time in seconds = 1,900 * 3.5 * 60
Total time in seconds = 399,000 seconds
Expressing this in scientific notation, we can write it as:
3.99 x 10^5 seconds
Therefore, the correct answer is:
O 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 time of each song.
First, let's convert the average time of 3.5 minutes into seconds.
1 minute = 60 seconds
3.5 minutes = 3.5 * 60 = 210 seconds
Now, we can multiply the total number of songs (1,900) by the average time in seconds (210 seconds):
1,900 songs * 210 seconds = 399,000 seconds
Since 399,000 is already expressed in standard decimal notation, we can write it in scientific notation as follows:
3.99 × 10^5 seconds
Therefore, the correct answer is option O) 3.99 × 10^5 seconds.