Evaluate each expression. See Example 5. 6 • 3 - 12 ÷ 4
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Identify the order of operations to evaluate the expression correctly. Remember the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
First, perform the multiplication and division from left to right. Calculate \(6 \times 3\) and \(12 \div 4\) separately.
After finding the results of the multiplication and division, substitute them back into the expression to simplify it to a subtraction problem.
Finally, perform the subtraction to get the simplified value of the expression.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations (PEMDAS/BODMAS)
The order of operations dictates the sequence in which mathematical operations are performed to ensure consistent results. Multiplication and division are performed before addition and subtraction, moving from left to right. This rule is essential to correctly evaluate expressions like 6 • 3 - 12 ÷ 4.
Multiplication and division are inverse operations that are performed at the same priority level. When both appear in an expression, they are evaluated from left to right. Understanding this helps in correctly simplifying parts of the expression such as 6 • 3 and 12 ÷ 4.
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Subtraction
Subtraction is performed after multiplication and division in the order of operations. Once the products and quotients are found, subtraction is applied to combine the results. This ensures the expression is evaluated accurately and completely.