What is the answer to the following expression when using the correct order of operations? 4 + 7 x (6 - 3)

Rationale

25

To solve the expression 4 + 7 x (6 - 3) using the correct order of operations (PEMDAS/BODMAS), we first calculate the expression within the parentheses, then perform multiplication, and finally addition.

A (25) CORRECT

This is the correct answer. Following the order of operations, we first evaluate the parentheses: (6 - 3) equals 3. Next, we multiply 7 by 3, resulting in 21. Finally, we add 4 to 21, which gives us 25.

B (33) YOUR ANSWER

This choice results from an incorrect interpretation of the order of operations. If one were to incorrectly add 4 to 7 before performing the multiplication, they would calculate 4 + 7 = 11 and then multiply by 3 (from the parentheses) to get 33. However, this method ignores the correct sequence of operations.

C (43) YOUR ANSWER

Selecting this option suggests that one may have added 4 to the product of 7 and 6. This would be a mistake in the order of operations. The correct approach does not compute 7 x 6 first, as it fails to respect the parentheses that dictate the order of operations.

D (49) YOUR ANSWER

Choosing this answer indicates a misunderstanding of both multiplication and addition within the expression. This outcome could arise from mistakenly calculating 4 + 7 x 7 without applying the parentheses, leading to an erroneous total.

Conclusion

The correct answer to the expression 4 + 7 x (6 - 3) is 25, achieved by adhering to the order of operations. Evaluating the parentheses first, followed by multiplication and then addition, confirms this outcome. Incorrect choices arise from misapplying the order of operations, illustrating the importance of following mathematical rules for accurate results.

What is the answer to the following expression when using the correct order of operations? 4 + 7 x (6 - 3)

25

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