One second is approximately 0.0000115741 of a day. What is this number in scientific notations

To write this number in scientific notation, we express it in the form of (a x 10^b), where 1 ≤ a < 10 and b is an integer.

Given that one second is approximately 0.0000115741 of a day, we need to find a value for a and b.

We can rewrite the given number as:
0.0000115741 = 1.15741 x 10^(-5)

So in scientific notation, one second is approximately 1.15741 x 10^(-5) of a day.

This number can be written in scientific notation as 1.15741 x 10^-5.

To express the number approximately 0.0000115741 in scientific notation, we need to convert it into a number between 1 and 10, multiplied by a power of 10.

Here's how you can do it step by step:

Step 1: Count the number of decimal places needed to move the decimal point to the right so that there is only one non-zero digit to the left of the decimal point. In this case, we need to move the decimal point 5 places to the right.

Step 2: Since we moved the decimal point 5 places to the right, we now have a number that is 1.15741.

Step 3: Write this number as 1.15741 x 10^(-5).

Therefore, in scientific notation, the number approximately 0.0000115741 is written as 1.15741 x 10^(-5).