Question

James and music library on his phone hold 1900 songs the songs have an average time of 3.5 minutes use scientific notation to find a total numbers of seconds. The playlist will play express the answer to the exact decimal place.

Answer 1

To find the total playtime of the songs in seconds, we first need to calculate the total time in minutes and then convert that time into seconds.

1. **Calculate the total time in minutes**:
\[
\text{Total time in minutes} = \text{Number of songs} \times \text{Average time per song}
\]
\[
\text{Total time in minutes} = 1900 \times 3.5 = 6650 \text{ minutes}
\]

2. **Convert minutes to seconds**:
There are 60 seconds in a minute, so:
\[
\text{Total time in seconds} = \text{Total time in minutes} \times 60
\]
\[
\text{Total time in seconds} = 6650 \times 60 = 399000 \text{ seconds}
\]

3. **Express in scientific notation**:
\[
399000 = 3.99000 \times 10^5
\]
To express it with the exact decimal place, we can keep two decimal places as follows:
\[
3.99 \times 10^5
\]

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