Final answer:
The correct order of operations for the expression (15 + 8 - 4 ×3) is to first perform the multiplication, resulting in (15 + 8 - 12), which simplifies to 11. This sequence corresponds to option (A).
Step-by-step explanation:
The order of operations required to simplify the expression (15 + 8 - 4 ×3) is as follows:
Perform the multiplication before addition or subtraction.
Within the parentheses, calculate 4 × 3 first. This equals 12.
Subtract the result from step 2 from 8 within the parentheses (8 - 12). However, since there is no need for this step here because each operation is separate and independent, proceed to step 4.
Add 15 and 8 to get 23.
Finally, subtract the 12 from step 2 from the 23 obtained in step 4 to get 11.
Therefore, the proper order of operations for the expression is (15 + 8 - 12), which matches option (A).