Final answer:
The missing properties for the given expressions are the associative property of multiplication, commutative property of addition, commutative property of multiplication, associative property of addition, associative property of multiplication, and distributive property.
Step-by-step explanation:
The missing properties for the given expressions are:
Associative property of multiplication
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property
The associative property of multiplication states that when three or more numbers are multiplied, the grouping of the numbers does not change the product. For example, (2 * 3) * 4 = 2 * (3 * 4) = 24.
The commutative property of addition states that the order in which two numbers are added does not change the sum. For example, 2 + 3 = 3 + 2 = 5.
The commutative property of multiplication states that the order in which two numbers are multiplied does not change the product. For example, 2 * 3 = 3 * 2 = 6.
The associative property of addition states that when three or more numbers are added, the grouping of the numbers does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4) = 9.
The distributive property states that when a number is multiplied by the sum of two other numbers, it is equivalent to multiplying the number by each of the two numbers individually and then adding the products. For example, 2 * (3 + 4) = (2 * 3) + (2 * 4) = 14.