Question

write in scientific notation: 0.0000061
6.1·10⁻⁵
6.1·10⁻⁶
6.1·10⁵
6.1·10⁻⁴

Explanation:

Step1: Recall scientific notation rules

Scientific notation is \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer. For a number less than 1, \( n \) is negative, and \( |n| \) is the number of places the decimal moves to the right to get \( a \).

Step2: Move the decimal in 0.0000061

Start with 0.0000061. Move the decimal to the right until we get a number between 1 and 10: \( 6.1 \). We moved the decimal 6 places. Since the original number is less than 1, \( n = -6 \). So the scientific notation is \( 6.1 \times 10^{-6} \).

Answer:

\( 6.1 \cdot 10^{-6} \) (the second option)