Question

multiply the decimals.

((-70)(-0.003) = )

Explanation:

<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": [],
"current_concepts": [
"Decimal Arithmetic",
"Signed Numbers"
]
}
</pre_analysis>

<reasoning>

Determine the sign of the product

\[
(-70) \times (-0.003) > 0
\]

Multiply the absolute values

\[
70 \times 0.003 = 70 \times \frac{3}{1000} = \frac{210}{1000} = 0.21
\]

State the final result

\[
(-70)(-0.003) = 0.21
\]
</reasoning>

<answer>
Multiply the decimals.

\[(-70)(-0.003) =\] <blank>0.21</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal Arithmetic"
]
}
</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": [],
"current_concepts": [
"Decimal Arithmetic",
"Signed Numbers"
]
}
</pre_analysis>

<reasoning>

Determine the sign of the product

\[
(-70) \times (-0.003) > 0
\]

Multiply the absolute values

\[
70 \times 0.003 = 70 \times \frac{3}{1000} = \frac{210}{1000} = 0.21
\]

State the final result

\[
(-70)(-0.003) = 0.21
\]
</reasoning>

<answer>
Multiply the decimals.

\[(-70)(-0.003) =\] <blank>0.21</blank>
</answer>

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