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
3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds
0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds
3.99×103 seconds
3.99 times 10 cubed seconds
3.99×10^5 seconds
To find the total number of seconds the playlist will play, we need to multiply the number of songs (1,900) by the average time of each song (3.5 minutes) and convert it to seconds.
First, we can convert 3.5 minutes to seconds:
3.5 minutes * 60 seconds/minute = 210 seconds
Then, we can multiply the number of songs by the average time in seconds:
1,900 songs * 210 seconds/song = 399,000 seconds
Expressing this in scientific notation, we get:
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 in minutes and then convert the result to seconds.
The total number of songs in Jim's music library is 1,900.
Each song has an average time of 3.5 minutes.
To convert minutes to seconds, we multiply by 60 since there are 60 seconds in a minute.
So, the total number of seconds the playlist will play is:
1,900 songs x 3.5 minutes/song x 60 seconds/minute
= 1,900 x 3.5 x 60
= 399,000 seconds
In scientific notation, we can express this as:
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.
Given:
Number of songs = 1,900
Average time per song = 3.5 minutes
To convert minutes to seconds, we multiply by 60 since there are 60 seconds in a minute.
Total time in seconds = Number of songs × Average time per song × 60
Plugging in the values:
Total time in seconds = 1,900 × 3.5 × 60
Now to simplify the expression, we can use scientific notation. In scientific notation, we represent a number as a product of a decimal number between 1 and 10 and a power of 10.
First, let's simplify the expression:
1,900 × 3.5 × 60 = 39,900
Since 39,900 is between 10,000 and 100,000, it can be represented in scientific notation as 3.99 × 10^4 seconds.
Therefore, the answer is 3.99 × 10^4 seconds.