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QUESTION IMAGE

divide. check the answer by using multiplication. part 1 of 3 \\(-8.79 …

Question

divide. check the answer by using multiplication.

part 1 of 3
\\(-8.79 \div (-3) = 2.93\\)

part: 1 / 3

part 2 of 3
\\(2.93 \times (-3) = \\)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Signed Numbers",
"Decimal Arithmetic"
],
"new_concepts": [],
"current_concepts": [
"Signed Numbers",
"Decimal Arithmetic",
"Division Verification"
]
}
</pre_analysis>

<reasoning>

Determine the sign of the product

Using the Signed Numbers knowledge point
\[
(+)\times(-)=-
\]

Calculate the absolute product

Using the Decimal Arithmetic knowledge point
\[
2.93 \times 3 = 8.79
\]

Combine sign and magnitude

Using the Signed Numbers and Decimal Arithmetic knowledge points
\[
2.93 \times (-3) = -8.79
\]
</reasoning>

<answer>

Question 1

\(-8.79 \div (-3) =\) <blank>\(2.93\)</blank>

Question 2

\(2.93 \times (-3) =\) <blank>\(-8.79\)</blank>
</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Signed Numbers",
"Decimal Arithmetic"
],
"new_concepts": [],
"current_concepts": [
"Signed Numbers",
"Decimal Arithmetic",
"Division Verification"
]
}
</pre_analysis>

<reasoning>

Determine the sign of the product

Using the Signed Numbers knowledge point
\[
(+)\times(-)=-
\]

Calculate the absolute product

Using the Decimal Arithmetic knowledge point
\[
2.93 \times 3 = 8.79
\]

Combine sign and magnitude

Using the Signed Numbers and Decimal Arithmetic knowledge points
\[
2.93 \times (-3) = -8.79
\]
</reasoning>

<answer>

Question 1

\(-8.79 \div (-3) =\) <blank>\(2.93\)</blank>

Question 2

\(2.93 \times (-3) =\) <blank>\(-8.79\)</blank>
</answer>

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