Final answer:
All examples provided (1) 2 * 3 = 3 * 2, (2) 4 * 5 = 5 * 4, (3) 6 * 7 = 7 * 6, and (4) 8 * 9 = 9 * 8 correctly express the commutative law of multiplication, which states the product remains unchanged when the order of the multiplicands is reversed.
Step-by-step explanation:
The commutative law of multiplication states that the order in which numbers are multiplied does not change the product. This means that if we have two numbers, say a and b, then a × b = b × a. All the examples provided, which are 2 × 3 = 3 × 2, 4 × 5 = 5 × 4, 6 × 7 = 7 × 6, and 8 × 9 = 9 × 8, correctly express the commutative law of multiplication. This fundamental property of multiplication is a tool that often simplifies calculation and problem-solving. For instance, being aware that 24 × 5 is the same as 5 × 24 can help us quickly calculate that the product is 120, as it resembles dividing 24 by 2 and then multiplying the result by 10.