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. 0.399×106 seconds

Question

0.399 times 10 superscript 6 baseline seconds

3.99×105 seconds
3.99 times 10 superscript 5 baseline seconds

3.99×103 seconds
3.99 times 10 cubed seconds

3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds

Answer 1

To find the total number of seconds the playlist will play, we first need to calculate the total time in minutes and then convert that to seconds.

Jim has 1,900 songs, and the average time of each song is 3.5 minutes.

1. Calculate the total time in minutes:

\[ \text{Total time (minutes)} = \text{Number of songs} \times \text{Average time per song} \] \[ \text{Total time (minutes)} = 1,900 \times 3.5 = 6,650 \text{ minutes} \]

2. Convert the total time from minutes to seconds. There are 60 seconds in a minute:

\[ \text{Total time (seconds)} = \text{Total time (minutes)} \times 60 \] \[ \text{Total time (seconds)} = 6,650 \times 60 = 399,000 \text{ seconds} \]

3. Now, we express this number in scientific notation. The number 399,000 can be written in scientific notation as:

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

So, the total number of seconds the playlist will play is:

3.99×10^5 seconds.