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
3.99×10^4 seconds
3.99 times 10 superscript 4 baseline seconds
3.99×10^3 seconds
3.99 times 10 cubed seconds
3.99×10^5 seconds
3.99 times 10 superscript 5 baseline seconds
0.399×10^6 seconds
To find the total number of seconds the playlist will play, we'll first convert the average song time from minutes to seconds and then multiply by the total number of songs. There are 60 seconds in a minute, so:
Average song time in seconds = 3.5 minutes * 60 seconds/minute
= 210 seconds
Now, multiply the average song time in seconds by the total number of songs:
Total time in seconds = 1900 songs * 210 seconds/song
= 399,000 seconds
Now, let's express this number in scientific notation, moving the decimal point to make the coefficient a number between 1 and 10:
399,000 = 3.99 × 10^5
The decimal place has been moved 5 places to the left to get from 399,000 to 3.99.
Therefore, the total number of seconds the playlist will play, to the exact decimal place and expressed in scientific notation, is:
3.99×10^5 seconds
So the correct answer is the third option:
3.99×10^5 seconds
3.99 times 10 superscript 5 baseline seconds