Jims 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.
a 3.99 x 10^5 seconds
b 3.99 x 10^4 seconds
c 3.99 x 10^6 seconds
d 3.99 x 10^3 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 a song.
Number of songs: 1,900
Average time of a song: 3.5 minutes
Total time: 1,900 songs * 3.5 minutes/song
Converting minutes to seconds: 3.5 minutes * 60 seconds/minute
Total time: 1,900 songs * 3.5 minutes/song * 60 seconds/minute
Simplifying the expression: 1,900 * 3.5 * 60 seconds
Using a calculator, we get the result as 399,000 seconds.
Expressed in scientific notation, this is 3.99 x 10^5 seconds.
Therefore, the answer is a) 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.
Total number of seconds = 1,900 songs * 3.5 minutes * 60 seconds/minute
= 1,330,000 seconds.
Now, we can express the answer in scientific notation.
= 1.33 x 10^6 seconds.
Therefore, the correct answer is option c) 3.99 x 10^6 seconds.
To find the total number of seconds the playlist will play, we need to multiply the number of songs in the library by the average time of each song.
First, convert the average time from minutes to seconds. Since there are 60 seconds in a minute, multiply the average time (3.5 minutes) by 60:
3.5 minutes × 60 seconds/minute = 210 seconds
Next, multiply the number of songs (1,900) by the average time per song in seconds (210):
1,900 songs × 210 seconds/song = 399,000 seconds
Now, express this answer in scientific notation.
To convert 399,000 to scientific notation, we move the decimal point to the left until there is only one digit to the left of the decimal point. In this case, we need to move the decimal point 5 places to the left:
399,000 = 3.99 × 10^5
Therefore, the total number of seconds the playlist will play is approximately 3.99 x 10^5 seconds.
The answer is (a) 3.99 x 10^5 seconds.