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B. \( y+3+3 \) Tell which property the statement illustrates. \( \begin{array}{ll}\text { 20. } 2+(12+r)=(2+12)+r \\ 0 & \text { 22. } x+7.5=7.5+x \\ \text { 24. } a \cdot 1=a\end{array} \)

Ask by Bernard Kirk. in the United States
Dec 03,2024

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The statements illustrate the Associative Property of Addition, the Commutative Property of Addition, and the Identity Property of Multiplication.

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Bonus Knowledge

The statement \(2+(12+r)=(2+12)+r\) illustrates the Associative Property of Addition. This property states that the way numbers are grouped when adding does not affect their sum. In simpler terms, it doesn't matter if you add 2 to 12 first or group 12 with \(r\); you’ll always end up with the same total! On the other hand, the equation \(x+7.5=7.5+x\) showcases the Commutative Property of Addition. This nifty little property means you can swap the order of the numbers without changing the result. Just like how you can rearrange your sock drawer; it doesn’t matter which order you put them in, they’ll still keep your feet warm!

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