Final answer:
The associative property of multiplication is shown in statement A: 4×(3×6)=(4×3)×6, where the grouping of the numbers is changed but the product remains the same. This statement correctly reflects the associative property which can be written mathematically as (A × B) × C = A × (B × C).
Step-by-step explanation:
The associative property of multiplication states that when three or more numbers are multiplied, the product is the same no matter how the numbers are grouped. This property allows us to change the grouping of the factors without changing the product. The associative property is represented mathematically as (A × B) × C = A × (B × C).
To identify which of the provided statements demonstrates the associative property of multiplication, we look for an equation where the grouping of factors is changed while their order remains the same. Statement A is the correct example of the associative property: 4×(3×6)=(4×3)×6.
Additionally, statement B shows the commutative property of multiplication, which means the order of multiplication does not affect the product: 6×4 = 4×6. Statement C illustrates the identity property, where any number multiplied by one equals the same number. And statement D represents the distributive property of multiplication over addition: 2(24) = 2(20+4).