6[4 + 2(1 - 3)] =
6[4 + 2(1 - 3)] = 0.
To solve this expression, we first simplify the parentheses, leading to a result of zero when evaluated correctly. The operations follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), which confirms that the final answer is indeed 0.
This is the correct answer. When we evaluate the expression step-by-step, we first calculate inside the parentheses: \(1 - 3 = -2\). Then, we multiply by 2 to get \(-4\), and finally, we add this to 4, resulting in \(4 + (-4) = 0\). Multiplying 0 by 6 yields 0.
This option miscalculates the expression. If we mistakenly disregard the negative result from \(2(1 - 3)\) and treat it as a positive addition instead, we would incorrectly add 6 times 4, which is 24, and fail to account for the subtraction.
This answer arises from neglecting the calculations inside the parentheses. If one were to mistakenly sum \(6 \times 4\) (which equals 24) without considering the effects of the \(2(1 - 3)\) term, they would arrive at this incorrect total. However, the negative multiplication must be factored in.
This choice results from an incorrect application of multiplication. If one incorrectly believed that \(6\) should multiply directly with \(4 + 2\) without resolving the parentheses, they might mistakenly compute \(6 \times 8\), leading to 48. This disregards the essential order of operations.
The expression 6[4 + 2(1 - 3)] simplifies to 0 through the correct application of the order of operations. Recognizing the value of expressions within parentheses is crucial; failure to do so leads to several incorrect results among the options provided. Ultimately, understanding how to follow mathematical rules ensures accurate computation.
Related Questions
View allWhich of the following is an equation of the line graphed above?
In the xy- coordinate system above, line l (not shown) does not contai...
If sqrt(b) - sqrt(5) = sqrt(20), then b =
In the inequalities, a and b are integers. What is the least integer v...
(½ + ⅓ )/ (1/5 )
Related Quizzes
View allACCUPLACER Next Generation Arithmetic
Next Generation ACCUPLACER Arithmetic Practice Test
ACCUPLACER Next Generation Arithmetic Answers
Next Generation Arithmetic ACCUPLACER
Next-Generation ACCUPLACER Arithmetic
ACCUPLACER Next-Generation Arithmetic Scores
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics Answers
Next Generation ACCUPLACER Score Quantitative Reasoning Algebra and Statistics
Next Generation ACCUPLACER Scores Quantitative Reasoning Algebra and Statistics
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations