What is the order of operations in math?
An example of an AI chatbot conversation about the order of operations in mathematics.
What is the order of operations in math?
The order of operations is a set of rules that determines the sequence in which calculations are performed. It's often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Can you give me an example using PEMDAS?
Sure! For the expression 3 + 6 × (5 + 4) ÷ 3 - 7, you would first solve the parentheses: 5 + 4 = 9. Then, it becomes 3 + 6 × 9 ÷ 3 - 7. Next, you do multiplication and division from left to right: 6 × 9 = 54, then 54 ÷ 3 = 18. Finally, you perform addition and subtraction: 3 + 18 - 7 = 14.
What happens if I don't follow the order?
If you don't follow the order of operations, you may arrive at an incorrect answer. For example, if you calculated 3 + 6 × 9 first, you would get 9 × 9 = 81, which is wrong. Following PEMDAS ensures you get the correct result.
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