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lets use the associative property to help us solve \\(2 \\times 18\\). …

Question

lets use the associative property to help us solve \\(2 \times 18\\).

complete the equations by breaking \\(18\\) into two smaller factors.

\\(2 \times 18 = 2 \times\\) select factors of 18
\\(2 \times 18 = 6 \times\\)
\\(2 \times 18 =\\)

Explanation:

Response

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"concepts_used": [
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<reasoning>

Factor the number 18

Using the Factoring Numbers knowledge point
\[
18 = 3 \times 6
\]

Apply the associative property

Using the Associative Property knowledge point
\[
2 \times 18 = 2 \times (3 \times 6) = (2 \times 3) \times 6 = 6 \times 6
\]

Calculate the final product

Using the Basic Multiplication knowledge point
\[
6 \times 6 = 36
\]
</reasoning>

<answer>
Let's use the associative property to help us solve \(2 \times 18\).

Complete the equations by breaking 18 into two smaller factors.

\(2 \times 18 = 2 \times\) <blank>\(3 \times 6\)</blank>
\(2 \times 18 = 6 \times\) <blank>\(6\)</blank>
\(2 \times 18 =\) <blank>\(36\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Associative Property"
]
}
</post_analysis>

Answer:

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"step_cot",
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"explain_then_answer",
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"concepts_used": [
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]
}
</pre_analysis>

<reasoning>

Factor the number 18

Using the Factoring Numbers knowledge point
\[
18 = 3 \times 6
\]

Apply the associative property

Using the Associative Property knowledge point
\[
2 \times 18 = 2 \times (3 \times 6) = (2 \times 3) \times 6 = 6 \times 6
\]

Calculate the final product

Using the Basic Multiplication knowledge point
\[
6 \times 6 = 36
\]
</reasoning>

<answer>
Let's use the associative property to help us solve \(2 \times 18\).

Complete the equations by breaking 18 into two smaller factors.

\(2 \times 18 = 2 \times\) <blank>\(3 \times 6\)</blank>
\(2 \times 18 = 6 \times\) <blank>\(6\)</blank>
\(2 \times 18 =\) <blank>\(36\)</blank>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Associative Property"
]
}
</post_analysis>