Subjects algebra

Order Operations 360043

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Question: Determine the order of operation of the following algebraic expression. a + \frac{b - c \times d}{f} Which of the following operations should be done first? A. addition
1. **State the problem:** We need to determine the order of operations for the expression $$a + \frac{b - c \times d}{f}$$ and identify which operation should be done first. 2. **Recall the order of operations (PEMDAS/BODMAS):** - Parentheses/Brackets - Exponents/Orders - Multiplication and Division (from left to right) - Addition and Subtraction (from left to right) 3. **Analyze the expression:** - The numerator is $$b - c \times d$$ inside the fraction. - The denominator is $$f$$. - The entire fraction $$\frac{b - c \times d}{f}$$ is added to $$a$$. 4. **Apply order of operations:** - Inside the numerator, multiplication $$c \times d$$ must be done before subtraction. - Then subtract the result from $$b$$. - Next, divide the numerator by $$f$$. - Finally, add $$a$$ to the result of the fraction. 5. **Conclusion:** - The first operation to perform is the multiplication $$c \times d$$. **Final answer:** The first operation to be done is multiplication, not addition.