QUESTION IMAGE
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) = \\)
<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>
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<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>