Subjects algebra

Order Operations 315472

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Question: After substituting, what is the first operation performed when evaluating $5 + (9 \times -3) \div 2$ for $x = 5$?
1. **State the problem:** We need to find the first operation performed when evaluating the expression $5 + (9 \times -3) \div 2$ after substituting $x = 5$. 2. **Substitute the value:** Since $x = 5$, the expression becomes $5 + (9 \times -3) \div 2$ (note that $x$ is not explicitly in the expression, so no substitution changes the numbers). 3. **Recall order of operations (PEMDAS/BODMAS):** - Parentheses - Exponents - Multiplication and Division (from left to right) - Addition and Subtraction (from left to right) 4. **Evaluate inside parentheses:** The parentheses contain $9 \times -3$. 5. **First operation:** Multiplication $9 \times -3$ is performed first inside the parentheses. 6. **After multiplication:** The expression becomes $5 + (-27) \div 2$. 7. **Next operations:** Division $(-27) \div 2$ and then addition $5 +$ the result. **Answer:** The first operation performed is **multiplication**.