Identify the property demonstrated by the following equation: 4 × (14 + 9) = 4 × 14 + 4 × 9.
Identify the property demonstrated by the following equation: four times 14 plus nine equals four times 14 plus four times nine.
Let’s look closely at what is happening with the four on both sides of the equation. On the left side, four is being multiplied by one thing, whatever 14 plus nine is. On the right side of the equation, four is being multiplied by 14 and nine separately before you add them together. We call this distribution; we say that the four is being distributed to the 14 and the nine. The distributive property tells us that four times 14 plus nine will be the same thing as four times 14 plus four times nine.
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