Order Operations 121316

1. **State the problem:** Calculate the value of the expression $$(6 + 2) \times 5 - 4 \div 2$$. 2. **Recall the order of operations (PEMDAS/BODMAS):** - Parentheses first - Exponents (none here) - Multiplication and Division from left to right - Addition and Subtraction from left to right 3. **Evaluate inside the parentheses:** $$6 + 2 = 8$$ 4. **Rewrite the expression:** $$8 \times 5 - 4 \div 2$$ 5. **Perform multiplication and division from left to right:** - Multiply: $$8 \times 5 = 40$$ - Divide: $$4 \div 2 = 2$$ 6. **Rewrite the expression:** $$40 - 2$$ 7. **Perform subtraction:** $$40 - 2 = 38$$ **Final answer:** $$38$$ **Explanation for why divide 4 and 2 but not 40 and 2:** The order of operations requires multiplication and division to be performed from left to right as they appear. After evaluating the parentheses, the expression is $$8 \times 5 - 4 \div 2$$. First, multiply $$8 \times 5$$ to get $$40$$. Next, divide $$4 \div 2$$ to get $$2$$. Then subtract $$40 - 2$$. We do not divide $$40 \div 2$$ because the division operation applies only to the $$4 \div 2$$ part, which comes after the multiplication. The subtraction sign means the division does not apply to $$40$$. This left-to-right rule for multiplication and division ensures the correct order and result.