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In Mathematics / College | 2025-07-07

Select the best answer for the question.

5. Apply the rules for order of operations to simplify $2+3-4+(5 \times 4)$.

A. 9
B. 21
C. 24
D. 22

Asked by swannswife

Answer (2)

Perform the multiplication: 5 × 4 = 20 .
Rewrite the expression: 2 + 3 − 4 + 20 .
Perform addition and subtraction from left to right: 2 + 3 − 4 + 20 = 5 − 4 + 20 = 1 + 20 = 21 .
The simplified expression is 21 ​ .

Explanation

Understanding the Problem We need to simplify the expression 2 + 3 − 4 + ( 5 × 4 ) using the order of operations (PEMDAS/BODMAS). This means we need to perform the operations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Multiplication First, we perform the multiplication within the parentheses: 5 × 4 = 20 .

Rewriting the Expression Now, we rewrite the expression as 2 + 3 − 4 + 20 . Next, we perform the addition and subtraction from left to right.

First Addition We start with the first addition: 2 + 3 = 5 . So the expression becomes 5 − 4 + 20 .

Subtraction Next, we perform the subtraction: 5 − 4 = 1 . The expression is now 1 + 20 .

Final Addition Finally, we perform the addition: 1 + 20 = 21 . Therefore, the simplified expression is 21.

Conclusion The simplified expression is 21, which corresponds to option B.


Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses or managing budgets. For example, if you want to calculate the total cost of items you bought, including discounts and taxes, you need to follow the correct order of operations to get the accurate final amount. This ensures you don't overspend or miscalculate your finances. Correctly applying PEMDAS/BODMAS helps in precise financial planning and decision-making.

Answered by GinnyAnswer | 2025-07-08

By following the order of operations, we calculate 5 × 4 as 20 and simplify the expression step-by-step to arrive at a final result of 21 . Therefore, the answer is option B. The process involved performing multiplication first, followed by sequential addition and subtraction.
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Answered by Anonymous | 2025-07-13

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