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
0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds
3.99×103 seconds
3.99 times 10 cubed seconds
3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds
3.99×105 seconds
3.99 times 10 superscript 5 baseline seconds
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To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average time per song.
Number of songs = 1,900
Average time per song = 3.5 minutes = 3.5 * 60 seconds (1 minute = 60 seconds)
Total time = 1,900 * 3.5 * 60
Using scientific notation to represent this number, we move the decimal point to the right to express it as a number between 1 and 10, and then multiply it by 10 raised to the appropriate power.
Total time = 3.99 * 10^5 seconds
Therefore, the answer is 3.99×10^5 seconds.