use the order of operations to evaluate this expression:

$(-2 + 1)^2 + 5(12 \div 3) - 9$.

type the correct answer in the box. use numerals instead of words.

the value of the expression is .

Question

use the order of operations to evaluate this expression:

$(-2 + 1)^2 + 5(12 \div 3) - 9$.

type the correct answer in the box. use numerals instead of words.

the value of the expression is  .

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Order of Operations", "PEMDAS" ], "new_concepts": [], "current_concepts": [ "Order of Operations", "PEMDAS" ] } ## Evaluate operations inside parentheses $$ \begin{aligned} (-2 + 1) &= -1 \ (12 \div 3) &= 4 \end{aligned} $$ ## Evaluate exponents and multiplication $$ \begin{aligned} (-1)^2 &= 1 \ 5(4) &= 20 \end{aligned} $$ ## Perform addition and subtraction from left to right $$ 1 + 20 - 9 = 21 - 9 = 12 $$ Use the order of operations to evaluate this expression: $$(-2 + 1)^2 + 5(12 \div 3) - 9$$ Type the correct answer in the box. Use numerals instead of words. The value of the expression is 12. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Order of Operations" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate operations inside parentheses

Evaluate exponents and multiplication

Perform addition and subtraction from left to right

Answer: