## Algebra 1

$0.003$
We start with the given expression: $3\times10^{-3}$ The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. We follow the order of operations to simplify: First, we simplify the exponent. The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. $3\times\frac{1}{10^3}=3\times\frac{1}{10\times10\times10}=3\times\frac{1}{1000}$ Then, we multiply: $\frac{3}{1000}$ Finally, we divide: $0.003$