Question

One second is approximately 0.0000115741 of a day.

Which is correct in scientific notation?

(1 point)
Responses

1.15741×105
1 point 1 5 7 4 1 times 10 to the 5th power

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

1.15741×10−4
1 point 1 5 7 4 1 times 10 to the negative 4 power

1.15741×10−5
1 point 1 5 7 4 1 times 10 to the negative 5 power

Answer 1

To convert the number \(0.0000115741\) into scientific notation, we need to express it in the form \(a \times 10^n\) where \(1 \leq |a| < 10\) and \(n\) is an integer.

1. We need to move the decimal point 5 places to the right to convert \(0.0000115741\) to \(1.15741\).
2. In doing so, we will reduce the exponent by 5, since we moved the decimal point to the right.

Thus, we can express \(0.0000115741\) as:

\[
1.15741 \times 10^{-5}
\]

Therefore, the correct response in scientific notation is:

**1.15741×10−5**