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divide by the power of 10. \\(-92.33 \\div 10 =\\)

Question

divide by the power of 10.

\\(-92.33 \div 10 =\\)

Explanation:

Response

<pre_analysis>
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"quality": "clear",
"question_count": 1,
"skills_matched": [
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"needs_drawing": false,
"concepts_used": [
"Decimal Arithmetic",
"Signed Numbers"
],
"new_concepts": [
"Dividing by Powers of Ten"
],
"current_concepts": [
"Decimal Arithmetic",
"Signed Numbers",
"Dividing by Powers of Ten"
]
}
</pre_analysis>

<reasoning>

Determine the sign of the quotient

\[
\text{Negative} \div \text{Positive} = \text{Negative}
\]

Shift the decimal point

\[
92.33 \div 10 = 9.233
\]

Combine the sign and the numerical value

\[
-92.33 \div 10 = -9.233
\]
</reasoning>

<answer>
Divide by the power of 10.

\(-92.33 \div 10 =\) <blank>\(-9.233\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Dividing by Powers of Ten"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Decimal Arithmetic",
"Signed Numbers"
],
"new_concepts": [
"Dividing by Powers of Ten"
],
"current_concepts": [
"Decimal Arithmetic",
"Signed Numbers",
"Dividing by Powers of Ten"
]
}
</pre_analysis>

<reasoning>

Determine the sign of the quotient

\[
\text{Negative} \div \text{Positive} = \text{Negative}
\]

Shift the decimal point

\[
92.33 \div 10 = 9.233
\]

Combine the sign and the numerical value

\[
-92.33 \div 10 = -9.233
\]
</reasoning>

<answer>
Divide by the power of 10.

\(-92.33 \div 10 =\) <blank>\(-9.233\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Dividing by Powers of Ten"
]
}
</post_analysis>