Question

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)Responses0.399×106 seconds0.399 times 10 superscript 6 baseline seconds3.99×103 seconds3.99 times 10 cubed  seconds3.99×104 seconds3.99 times 10 superscript 4 baseline  seconds3.99×105 seconds3.99 times 10 superscript 5 baseline seconds

Answer 1

To find the total number of seconds that Jim's playlist will play, we need to calculate the total duration in minutes and then convert that into seconds.

1. **Total time in minutes**:
\[
\text{Total time (minutes)} = \text{Number of songs} \times \text{Average duration per song (minutes)} = 1900 \times 3.5
\]
Calculating that:
\[
1900 \times 3.5 = 6650 \text{ minutes}
\]

2. **Convert minutes to seconds**:
Since there are 60 seconds in a minute, we convert the total time into seconds:
\[
\text{Total time (seconds)} = \text{Total time (minutes)} \times 60 = 6650 \times 60
\]
Calculating that:
\[
6650 \times 60 = 399000 \text{ seconds}
\]

3. **Express in scientific notation**:
Now we need to express 399000 in scientific notation:
\[
399000 = 3.99 \times 10^5
\]

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