Question

numerical expression. drag the steps of the order of operations to place them in the correct order.

sequence

tiles

• addition and subtraction from left to right
• parentheses and other grouping symbols from the inside out
• multiplication and division from left to right
• exponents

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"tutor"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Order of Operations",
"PEMDAS"
],
"current_concepts": [
"Order of Operations",
"PEMDAS"
]
}
</pre_analysis>

<reasoning>

Identify the standard order of operations

The standard order of operations (often remembered by the acronym PEMDAS) dictates the sequence in which mathematical operations must be performed to evaluate a numerical expression:

1. Parentheses and other grouping symbols (from the inside out)
2. Exponents
3. Multiplication and division (from left to right)
4. Addition and subtraction (from left to right)

Match the given tiles to the sequence

We align the provided tiles with the standard order of operations:

• First step: "parentheses and other grouping symbols from the inside out"
• Second step: "exponents"
• Third step: "multiplication and division from left to right"
• Fourth step: "addition and subtraction from left to right"

</reasoning>

<answer>

1. parentheses and other grouping symbols from the inside out
2. exponents
3. multiplication and division from left to right
4. addition and subtraction from left to right

</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Order of Operations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"tutor"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Order of Operations",
"PEMDAS"
],
"current_concepts": [
"Order of Operations",
"PEMDAS"
]
}
</pre_analysis>

<reasoning>

Identify the standard order of operations

The standard order of operations (often remembered by the acronym PEMDAS) dictates the sequence in which mathematical operations must be performed to evaluate a numerical expression:

1. Parentheses and other grouping symbols (from the inside out)
2. Exponents
3. Multiplication and division (from left to right)
4. Addition and subtraction (from left to right)

Match the given tiles to the sequence

We align the provided tiles with the standard order of operations:

• First step: "parentheses and other grouping symbols from the inside out"
• Second step: "exponents"
• Third step: "multiplication and division from left to right"
• Fourth step: "addition and subtraction from left to right"

</reasoning>

<answer>

1. parentheses and other grouping symbols from the inside out
2. exponents
3. multiplication and division from left to right
4. addition and subtraction from left to right

</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Order of Operations"
]
}
</post_analysis>