Final answer:
The algebraic expression for "the quotient of three and a number" would require division, represented as 3 / x. Understanding operations such as addition, multiplication, and division is crucial for forming such expressions.
Correct option is D
Step-by-step explanation:
If we wanted to form an algebraic expression to model the phrase "the quotient of three and a number," we would need to use division. This operation is integral to the concept of a quotient, as it represents the result of dividing one number by another. Therefore, if we let the variable x represent the unknown number, the algebraic expression would be 3 / x.
The properties of addition and multiplication may help to remember operations in algebra. For instance, the commutative property of addition, A + B = B + A, tells us that the order in which we add numbers does not affect their sum. Similarly, multiplication and division are related; dividing by a number is the same as multiplying by its reciprocal. Hence, understanding these operations and their relationships is beneficial when handling algebraic expressions.