Use Scientific Notation Quick Check

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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)
Responses

3.99×103
seconds
3.99 times 10 cubed seconds

3.99×104
seconds
3.99 times 10 superscript 4 baseline seconds

0.399×106
seconds
0.399 times 10 superscript 6 baseline seconds

3.99×105
seconds
3.99 times 10 superscript 5 baseline seconds
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Answer 1

To find the total number of seconds the playlist will play, we need to perform the following calculations:

1. Calculate the total duration in minutes by multiplying the number of songs by the average time per song:

   \[ \text{Total minutes} = 1,900 \text{ songs} \times 3.5 \text{ minutes/song} \]

   \[ \text{Total minutes} = 6,650 \text{ minutes} \]

2. Convert minutes to seconds by multiplying the total number of minutes by 60 (since there are 60 seconds in a minute):

   \[ \text{Total seconds} = 6,650 \text{ minutes} \times 60 \text{ seconds/minute} \]

   \[ \text{Total seconds} = 399,000 \text{ seconds} \]

3. Express the total seconds in scientific notation:

   \[ 399,000 = 3.99 \times 10^5 \]

Therefore, the total number of seconds the playlist will play is \(3.99 \times 10^5\) seconds.

The correct response is:

3.99 × 10^5 seconds.