#math

When solving mathematical expressions such as 100 ÷ 4 × 3, many people mistakenly calculate by performing operations from left to right without considering the order of operations rules. The correct approach follows the PEMDAS/BODMAS principle, which prioritizes multiplication and division equally and processes them from left to right before addition and subtraction. In the expression 100 ÷ 4 × 3, you first divide 100 by 4, giving 25, and then multiply by 3, resulting in 75. An incorrect calculation might multiply 4 by 3 first to get 12 and then divide 100 by 12, which would yield a different and incorrect answer, 8.33. Similarly, seeing 100 ÷ 4 × 3 evaluated as 150 is a common error where the sequence or type of operation is misunderstood. From personal experience tutoring math, students often struggle with these basic rules, especially when expressions are written without parentheses. It helps to remember that division and multiplication share the same precedence, so you must evaluate from left to right, rather than treating multiplication as higher priority than division. To avoid confusion, rewriting expressions clearly or using parentheses can help reinforce correct understanding. For example, explicitly writing (100 ÷ 4) × 3 clarifies the intended operations and the order they should be executed in. Mastering these foundational concepts improves accuracy in more complex mathematical problems and builds confidence in handling algebraic expressions and real-life calculations.