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
3.99×105 seconds
3.99 times 10 superscript 5 baseline seconds
0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds
3.99×104 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.
1900 songs * 3.5 minutes/song = 6650 minutes
Since there are 60 seconds in a minute, we can convert the minutes to seconds:
6650 minutes * 60 seconds/minute = 399,000 seconds
Therefore, the total number of seconds the playlist will play is 3.99x10^5 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.
Let's do the calculation:
1,900 songs × 3.5 minutes = 6,650 minutes
To convert minutes to seconds, we need to multiply by 60:
6,650 minutes × 60 seconds = 399,000 seconds
Expressed in scientific notation, this is:
3.99 × 10^5 seconds
Therefore, the correct answer is:
3.99×105 seconds
To find the total number of seconds Jim's playlist will play, you first need to calculate the total duration of all the songs in the playlist.
Given that Jim's music library holds 1,900 songs and each song has an average time of 3.5 minutes, you can multiply these two values together to find the total duration in minutes.
1900 songs x 3.5 minutes/song = 6650 minutes
To convert the total duration from minutes to seconds, you need to multiply it by 60, since there are 60 seconds in a minute.
6650 minutes x 60 seconds/minute = 399,000 seconds
Now, you can express this answer in scientific notation. Scientific notation is a way of expressing very large or very small numbers using powers of 10.
To write 399,000 in scientific notation, you should move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. In this case, you need to move the decimal point 5 places to the left.
This means the answer is 3.99 x 10^5 seconds.
Therefore, the correct answer is 3.99×105 seconds.