A day contains 86400 seconds. How long is a second in days? Incorporate scientific notation into your response.

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1.1574 × 10 − 5

1.1574 × 10 − 2

1.1574 × 10 − 6

1.1574 × 10 − 9

answer is A.

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Detailed Solution

It is given a day containing 86400 seconds.
In exponents the standard form of a number is written as a decimal number between and, multiplied by power of 10.
There are 86400 seconds in a day
A second is

186400

long.
Rewriting the above expression in decimal form A second is 0.000011574 long.
Rewriting the above expression in its usual form

⇒ 00000115741000000000 ⇒ 115741000000000 ⇒ 1.1574 100000 ⇒ 1.1574 105

Using the exponent law,

x − m = 1 x m

we get,

⇒ 1.1574 105 = 1.1574 × 10 − 5

Therefore, a second is long in a day is

1.1574 × 10 − 5

.
Hence option (1) is correct.

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