To find the total number of seconds that Jim's playlist will play, we first need to calculate the total time in minutes and then convert that time into seconds.
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Calculate the total duration in minutes: \[ \text{Total minutes} = \text{Number of songs} \times \text{Average time per song} = 1900 \times 3.5 \] \[ 1900 \times 3.5 = 6650 \text{ minutes} \]
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Convert minutes to seconds: Since there are 60 seconds in a minute: \[ \text{Total seconds} = 6650 \times 60 \] \[ 6650 \times 60 = 399000 \text{ seconds} \]
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Express in scientific notation: The number 399000 can be written in scientific notation as: \[ 3.99 \times 10^5 \]
Therefore, the total number of seconds the playlist will play is:
\[ \boxed{3.99 \times 10^5} \text{ seconds} \]