👉 Mathematical errors often stem from fundamental misunderstandings or oversimplifications of concepts, leading to incorrect application of rules or formulas. For instance, forgetting to account for the domain of a function can result in undefined outputs, while misinterpreting the meaning of variables or units can lead to nonsensical calculations. Another common mistake is neglecting to check for extraneous solutions, especially in equations involving radicals or logarithms, which can produce invalid results. Additionally, arithmetic errors like miscalculating signs, forgetting to distribute, or misapplying the order of operations can drastically alter outcomes. These mistakes highlight the importance of careful, step-by-step reasoning and double-checking each stage of a calculation to ensure accuracy.