Math

QuestionHow many picoseconds are in 11 minutes? Provide your answer in scientific notation, e.g., 2.31052.3 * 10^{\wedge} 5.

Studdy Solution

STEP 1

Assumptions1. A picosecond is one trillionth of a second. We need to find the number of picoseconds in11 minutes3. There are60 seconds in a minute

STEP 2

First, we need to convert11 minutes into seconds. We can do this by multiplying the number of minutes by60 (the number of seconds in a minute).
Seconds=Minutestimes60Seconds = Minutes \\times60

STEP 3

Now, plug in the given value for the number of minutes to calculate the number of seconds.
Seconds=11times60Seconds =11 \\times60

STEP 4

Calculate the number of seconds.
Seconds=11times60=660Seconds =11 \\times60 =660

STEP 5

Now that we have the number of seconds, we can find the number of picoseconds. We can do this by multiplying the number of seconds by one trillion (the number of picoseconds in a second).
Picoseconds=Secondstimes1trillionPicoseconds = Seconds \\times1\, trillion

STEP 6

Now, plug in the given value for the number of seconds to calculate the number of picoseconds.
Picoseconds=660times1trillionPicoseconds =660 \\times1\, trillion

STEP 7

Calculate the number of picoseconds.
Picoseconds=660times1trillion=660trillionPicoseconds =660 \\times1\, trillion =660\, trillion

STEP 8

Now that we have the number of picoseconds, we can convert this to scientific notation. In scientific notation, a trillion is represented as 101210^{12}.
Picoseconds=660times1012Picoseconds =660 \\times10^{12}The number of picoseconds in11 minutes is 6601012660 *10^{12}.

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