This trouble encounters stoichiomeattempt, which is a procedure to convert systems of measurement and also entails most multiplication and also division.

You are watching: The speed of light in a vacuum is 2.998 × 108 m/s.

First, we have to recognize the number of meters that are in a mile. 1 Mile = ~1609 Meters. And we currently understand just how many kind of secs are in 1 minute, 60.

Also, instead of creating "x 10^8", I"ll compose "E 8".

(2.998 E 8 m / 1 s) x (1 mile / 1609 m) x (60 s / 1 min) =

Do you watch exactly how the meters cancel (bereason we have actually it in the numerator and also then it"s in the denominator)? And then the seconds (first it"s in the denominator and then the numerator)? Finally, you"re left via miles/min.

Once you multiply every little thing in the numerator and also divide by everything in the denominator (2.998 E 8 x 1 x 60 / 1 / 1609 / 1) you obtain 11179614.67, and in clinical notation (to be consistent via sigfigs), it would be 1.118 E 7.

I hope this helps! Please reach out if you have actually any kind of better questions.


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