Question

One second is approximately 0.0000115741 of a day. what is this number in scientific notation?

A) 1.15741×10−5
B) 1.15741×10−4
C) 1.15741×10−6
D) 1.15741×10−7

Answer 1

The number 0.0000115741 in scientific notation is 1.15741×10^-5, which corresponds to option (A).

Step-by-step explanation:

The question asks to express the number 0.0000115741 in scientific notation. To convert a number into scientific notation, the number must be rewritten as a product of a number between 1 and 10 and a power of 10. We need to move the decimal point of 0.0000115741 to the right so that only one non-zero digit remains to the left of the decimal.

This is done by moving the decimal place five places to the right, which gives us 1.15741. Because we moved the decimal five places, we multiplied by 10 raised to the negative power of the number of places we moved the decimal: in this case, -5. Therefore, 0.0000115741 in scientific notation is 1.15741×10-5. So, the correct option in final answer is (A) 1.15741×10−5.