The first one is negative one property of division, I think. The second one is commutative property of multiplication.
The equation 53 1 = 53 exemplifies the Identity Property of Division,.
The first equation 53 1 = 53 demonstrates the Identity Property of Division, which states that any number divided by one is the number itself. This aligns with option B; thus, the identity property is shown here. Regarding the second equation, 5ac = 5ca, it shows the Commutative Property of Multiplication. This property means that the order in which two numbers are multiplied does not change their product, which corresponds to option D.
Multiplication and division are inherently connected, as division is essentially multiplying by the reciprocal. This linkage is reinforced by the rules for the signs of products and quotients, which follow the same conventions and are based on the operators' properties
The first equation demonstrates the Identity Property of Division, where dividing a number by 1 does not change its value. The second equation shows the Commutative Property of Multiplication, which states that the order of factors does not affect the product. Therefore, the answers are B and D respectively.
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