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.
To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average time per song.
Total number of seconds = (1,900 songs) * (3.5 minutes/song) * (60 seconds/minute)
= 3,675,000 seconds
Now, let's express this number in scientific notation:
3,675,000 = 3.675 × 10^6
Therefore, the total number of seconds the playlist will play is approximately 3.675 × 10^6 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.
1,900 songs * 3.5 minutes/song = 6,650 minutes
To convert minutes to seconds, we multiply by 60.
6,650 minutes * 60 seconds/minute = 399,000 seconds
Expressing this answer in scientific notation, we have:
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 of each song.
Step 1: Convert the average time of each song from minutes to seconds.
Since there are 60 seconds in a minute, we can multiply 3.5 minutes by 60 to get the average time in seconds:
3.5 minutes x 60 seconds/minute = 210 seconds
Step 2: Multiply the number of songs by the average time in seconds.
The music library has 1,900 songs, so we multiply it by 210 seconds:
1,900 songs x 210 seconds/song = 399,000 seconds
Step 3: Express the answer using scientific notation.
399,000 can be written in scientific notation as 3.99 x 10^5.
The decimal place is exactly at the unit's place.
Therefore, the total number of seconds the playlist will play in scientific notation to the exact decimal place is 3.99 x 10^5 seconds.