Question

write 0.0000005366 in scientific notation. 5.366 × 10⁻⁷

Explanation:

Step1: Recall scientific notation rules

Scientific notation is \( a\times10^{n} \) where \( 1\leq|a|\lt10 \) and \( n \) is an integer. For a number less than 1, \( n \) is negative, equal to the number of places the decimal moves to the right to get a number between 1 and 10.

Step2: Move the decimal in 0.0000005366

Start with 0.0000005366. Move the decimal 7 places to the right: \( 0.0000005366
ightarrow5.366 \). So \( n = - 7 \). Thus, \( 0.0000005366 = 5.366\times10^{-7} \).

Answer:

\( 5.366\times10^{-7} \)