Q145 of 196 Page 249

There are 864,00 seconds in a day. How many days long is a second?

Express your answer in scientific notation.

Given, there are 86, 400 seconds in a day.


1 day = 86400 seconds


∴ 1 second = of a day


⇒


Counting the number of places after the decimal point,


There are 9 places after the decimal point.


⇒ 0.000011574 =


⇒ 1000000000 can be written as 109.


∴


We know that by law of exponents,


∴


= 1.1574 × 104-9


= 1.1574 × 10-5 of a day


∴ A second is 1.1574 × 10-5 of a day.


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