1. The problem is to rewrite the number 0.00711 in scientific notation. 2. Scientific notation expresses a number as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer. 3. To convert 0.00711, move the decimal point to the right until the number is between 1 and 10. 4. Moving the decimal 3 places to the right gives $7.11$. 5. Since we moved the decimal 3 places to the right, the exponent $n$ is $-3$. 6. Therefore, the scientific notation is $$0.00711 = 7.11 \times 10^{-3}$$.