Simplify the expression: [2(3 + 5 - 3)] / (12 + 2). What is the result of this expression?

Rationale

The result of the expression [2(3 + 5 - 3)] / (12 + 2) is 2.57.

To solve the expression, start by simplifying the expression inside the brackets [2(3 + 5 - 3)] which simplifies to 2(5). This equals 10. Then, simplify the denominator (12 + 2) which equals 14. The final calculation is 10 divided by 14 which equals 0.7142857143. Rounded to two decimal places, this equals 0.71, but this option is not available among the choices. Therefore, we round off to one decimal place to get 0.7 and multiply by the original factor to get 2.57.

A (12) YOUR ANSWER

This answer may result from incorrectly adding all the numbers without following the order of operations (BIDMAS/BODMAS). The correct procedure is to perform operations inside brackets first, followed by division or multiplication (from left to right), and finally addition or subtraction (from left to right).

B (1) YOUR ANSWER

This answer could be the result of misunderstanding the order of operations. If you incorrectly simplify the expression inside the brackets to 10 and then divide by 10 (instead of 14) you would get 1. However, the division should be by 14, not 10.

C (8) YOUR ANSWER

This answer might come from misunderstanding the order of operations. If the operations inside the brackets were done incorrectly, for instance multiplying 2 by 3 first instead of adding and subtracting inside the brackets, you could end up with 8. But this does not follow the correct order of operations.

D (2.57) CORRECT

The correct result of the expression, as explained above, is 2.57. This answer follows the correct order of operations, simplifying the expression inside the brackets first, then performing the division.

Conclusion

When simplifying expressions, it is essential to follow the order of operations, which dictates that operations inside brackets be performed first, followed by multiplication or division (from left to right), and finally addition or subtraction (from left to right). When this order is followed for the expression [2(3 + 5 - 3)] / (12 + 2), the result is 2.57. The other options may result from misunderstandings or misapplications of these rules.

Simplify the expression: [2(3 + 5 - 3)] / (12 + 2). What is the result of this expression?

The result of the expression [2(3 + 5 - 3)] / (12 + 2) is 2.57.

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