Identify the operations in the expression: multiplication, subtraction, and division.
According to the order of operations (PEMDAS/BODMAS), perform the multiplication first: calculate .
Next, perform the division: calculate .
Substitute the results of the multiplication and division back into the expression.
Finally, perform the subtraction to simplify 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
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression 9*3 - 16/4, operations must be performed in the correct order to arrive at the correct answer.
Multiplication and division are fundamental arithmetic operations that are performed from left to right when they appear in an expression. In the given expression, 9*3 is calculated first, followed by 16/4. Understanding how to execute these operations correctly is essential for evaluating expressions accurately.
Subtraction is the operation of finding the difference between two numbers. In the expression 9*3 - 16/4, after calculating the results of the multiplication and division, the final step involves subtracting the result of the division from the result of the multiplication. This concept is crucial for completing the evaluation of the expression.