## Thinking Mathematically (6th Edition)

The distributive property of multiplication over addition states that for any real numbers $a, b,$ and $c$: $a \cdot (b + c)= a \cdot b + a \cdot c$ In other words, distributing a number that is being multiplied by a set of parentheses to every term inside of the parentheses is a valid step. Example: $3 \cdot(4 + 5) = 3 \cdot 4 + 3 \cdot 5$ Notice that both are equal to 27.
The distributive property of multiplication over adition states that for any real numbers $a, b,$ and $c$. $a \cdot (b + c)= a \cdot b + a \cdot c$ Example: $3 \cdot(4 + 5) = 3 \cdot 4 + 3 \cdot 5$ Notice that both are equal to 27.