Final Answer:
The correct expression to determine the product of 4 and 372 is (3)(-4)+(3)(4). Therefore, the correct option is D. (3)(-4)+(3)4 (1).
Step-by-step explanation:
Option D represents the correct expression for finding the product of 4 and 372. To calculate the product, the expression (3)(-4) denotes 4 multiplied by 3 with a negative sign, which equals -12. Then, (3)(4) stands for 4 multiplied by 3, resulting in 12. Finally, adding -12 and 12 together (as indicated by the plus sign between them) gives us the final product of 372.
In algebraic terms, multiplication is denoted by the parentheses, and the signs indicate the operations to be performed. Hence, following the sequence of operations—multiplication before addition—within the parentheses, the expression correctly calculates the product of 4 and 372 as the result of -12 + 12, which equals 0. Therefore, the correct option is D. (3)(-4)+(3)4 (1).