56. What is the answer to the following expression when using the correct order of operations? 4 + 7 x (6 - 3)
Answer: A
25
To solve the expression 4 + 7 x (6 - 3), we first calculate the value inside the parentheses, which is 3. Then, we multiply 7 by 3, resulting in 21. Finally, we add this to 4, yielding a total of 25.
A) 25
This option is correct because it follows the order of operations accurately. First, the expression inside the parentheses (6 - 3) is evaluated to 3. Then, 7 is multiplied by 3 to give 21, and finally, adding 4 results in 25.
B) 33
This option is incorrect as it does not reflect the proper application of the order of operations. If one mistakenly added 4 to 7 and then multiplied by (6 - 3), they would get 11 x 3 = 33, which is not the correct sequence of operations.
C) 43
This option is also incorrect. It could result from a misunderstanding of the order of operations, potentially by adding 4 to 7 and then multiplying by the difference (6 - 3) incorrectly, leading to a miscalculation.
D) 49
This option is incorrect because it does not follow the correct order of operations. It may stem from incorrectly adding all numbers together or misapplying multiplication, which does not reflect the expression's intended calculation.
Conclusion
The correct answer is 25, as it accurately applies the order of operations by solving the parentheses first, followed by multiplication, and finally addition. All other options fail to correctly implement these rules, leading to incorrect results.