Question

Question

One second is approximately 0.0000115741
of a day. What is this number in scientific notation?(1 point)
Responses

115741×10−10
115741 times 10 raised to the negative 10 power

0.115741×10−4
0 point 1 1 5 7 4 1 times 10 to the negative 4 power

11.5741×10−6
11 point 5 7 4 1 times 10 to the negative 6 power

1.15741×10−5

Answer 1

To express the number \( 0.0000115741 \) in scientific notation, we can follow the general form of scientific notation, which is \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

1. Move the decimal point to the right until you have a number between 1 and 10. For \( 0.0000115741 \), we move the decimal point 5 places to the right, resulting in \( 1.15741 \).

2. Since we moved the decimal point 5 places to the right, we represent this as \( 10^{-5} \).

Putting this together, we get: \[ 0.0000115741 = 1.15741 \times 10^{-5} \]

Thus, the correct answer in scientific notation is:

1.15741×10−5