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: \[ \boxed{3.99 \times 10^5} \]