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

3.99×10
4
seconds
3.99×10
5
seconds
3.99×10
3
seconds
0.399×10
6
seconds

Answer 1

To find the total number of seconds the playlist will play, we start with the number of songs and the average time per song.

1. Number of songs: 1,900
2. Average time per song: 3.5 minutes

First, we need to convert the average time from minutes to seconds:

\[ 3.5 \text{ minutes} = 3.5 \times 60 \text{ seconds/minute} = 210 \text{ seconds} \]

Next, we multiply the total number of songs by the total time per song in seconds:

\[ \text{Total playback time} = 1900 \text{ songs} \times 210 \text{ seconds/song} \]

Calculating that gives:

\[ 1900 \times 210 = 399000 \text{ seconds} \]

Now, we need to express this number in scientific notation.

To express 399,000 in scientific notation, we can write it as:

\[ 3.99 \times 10^5 \text{ seconds} \]

So, the answer is:

\[ \boxed{3.99 \times 10^5 \text{ seconds}} \]