#math

When tackling expressions like 96 ÷ (4+8) × 3, it's essential to follow the order of operations correctly: parentheses first, then division and multiplication from left to right. Many people might quickly calculate 96 ÷ (4+8) × 3 and conclude that it equals 48, but this is a common error. Let's break it down: first, compute inside the parentheses: 4 + 8 = 12. Then, the expression becomes 96 ÷ 12 × 3. Division and multiplication have the same precedence and are evaluated from left to right, so first, 96 ÷ 12 = 8. Next, multiply 8 × 3 to get 24. This shows that the final answer is 24, not 48. This example underlines how crucial it is to respect the order of operations in math. Failing to do so can lead to incorrect answers, which might impact more complex computations especially in algebra or higher-level math problems. From personal experience, I've seen students get confused with similar expressions, often mixing up the sequence which caused them to get wrong results. Practicing these step-by-step calculations improves confidence and accuracy in math. Using tools like calculators can help verify your answers, but understanding the process is vital. Remember, always simplify parentheses first, then handle division and multiplication from left to right before addressing addition or subtraction.