What is the result of the expression 5 - 2 + 3 * 2?
Understand the Problem
The question is asking to evaluate a mathematical expression following the order of operations, which involves performing multiplication before addition and subtraction. We need to calculate the result by first multiplying and then performing the additions and subtractions.
Answer
The answer is \( 11 \).
Answer for screen readers
The final answer is ( 11 ).
Steps to Solve
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Identify the expression to evaluate First, note the mathematical expression that needs to be evaluated. For example, if the expression is ( 3 + 6 \times 2 - 4 ).
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Perform multiplication first According to the order of operations (PEMDAS/BODMAS), we need to perform multiplication before addition and subtraction. In our example: $$ 6 \times 2 = 12 $$
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Rewrite the expression Substitute the result of the multiplication back into the original expression. Now the expression becomes: $$ 3 + 12 - 4 $$
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Perform addition Next, add the numbers in the expression: $$ 3 + 12 = 15 $$
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Perform subtraction Finally, subtract the last number from the sum obtained: $$ 15 - 4 = 11 $$
The final answer is ( 11 ).
More Information
When evaluating expressions, always remember that multiplication should be done before addition and subtraction. This ensures that you correctly follow the order of operations.
Tips
- Forgetting to perform multiplication first and adding/subtracting prematurely.
- Misplacing parentheses which can affect the order of operations.
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