Question

1. match the algebra statement on the left with the correct property on the right
2. $2(5+3) = 2*5 + 2*3$ \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ta. commutative property
3. $(5+2)+3 = 5+(2+3)$ \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tb. associative property
4. $2+5+3 = 2+3+5$ \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tc. distributive property

Explanation:

1. The equation shows a factor multiplied by a sum, expanded to the sum of the factor multiplied by each term in the sum, which is the definition of the Distributive Property.
2. The equation demonstrates that grouping of addends does not change the sum, which is the Associative Property of Addition.
3. The equation shows that rearranging the order of addends does not change the sum, which is the Commutative Property of Addition.

Answer:

1. c. Distributive Property
2. b. Associative Property
3. a. Commutative Property