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)

Question

Responses

3.99×103 seconds
3.99 times 10 cubed seconds

3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds

0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds

3.99×105 seconds

Answer 1

To find the total playtime in seconds, we can follow these steps:

1. Calculate the total time in minutes: \[ 1,900 \text{ songs} \times 3.5 \text{ minutes/song} = 6,650 \text{ minutes} \]

2. Convert minutes into seconds: \[ 6,650 \text{ minutes} \times 60 \text{ seconds/minute} = 399,000 \text{ seconds} \]

3. Now, express 399,000 in scientific notation: \[ 399,000 = 3.99 \times 10^5 \]

Thus, the total number of seconds the playlist will play is: \[ \boxed{3.99 \times 10^5 \text{ seconds}} \]