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b150b (1) \\begin{array}{r} 84 \\\\ - 26 \\\\ \\hline \\end{array} (6) …

Question

b150b

(1) \

$$\begin{array}{r} 84 \\\\ - 26 \\\\ \\hline \\end{array}$$

(6) \

$$\begin{array}{r} 91 \\\\ - 27 \\\\ \\hline \\end{array}$$

(2) \

$$\begin{array}{r} 84 \\\\ - 43 \\\\ \\hline \\end{array}$$

(7) \

$$\begin{array}{r} 91 \\\\ - 21 \\\\ \\hline \\end{array}$$

(3) \

$$\begin{array}{r} 84 \\\\ - 44 \\\\ \\hline \\end{array}$$

(8) \

$$\begin{array}{r} 91 \\\\ - 10 \\\\ \\hline \\end{array}$$

(4) \

$$\begin{array}{r} 84 \\\\ - 45 \\\\ \\hline \\end{array}$$

(9) \

$$\begin{array}{r} 91 \\\\ - 46 \\\\ \\hline \\end{array}$$

(5) \

$$\begin{array}{r} 84 \\\\ - 67 \\\\ \\hline \\end{array}$$

(10) \

$$\begin{array}{r} 91 \\\\ - 59 \\\\ \\hline \\end{array}$$

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 10,
"skills_matched": [
"step_cot",
"table_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Column Subtraction",
"Subtraction with Regrouping"
],
"new_concepts": [],
"current_concepts": [
"Column Subtraction",
"Subtraction with Regrouping"
]
}
</pre_analysis>

<reasoning>

Subtract first column values

\[

$$\begin{aligned} 84 - 26 &= 58 \\ 84 - 43 &= 41 \\ 84 - 44 &= 40 \\ 84 - 45 &= 39 \\ 84 - 67 &= 17 \end{aligned}$$

\]

Subtract second column values

\[

$$\begin{aligned} 91 - 27 &= 64 \\ 91 - 21 &= 70 \\ 91 - 10 &= 81 \\ 91 - 46 &= 45 \\ 91 - 59 &= 32 \end{aligned}$$

\]
</reasoning>

<answer>

\(84 - 26 = 58\)\(91 - 27 = 64\)
\(84 - 44 = 40\)\(91 - 10 = 81\)
\(84 - 45 = 39\)\(91 - 46 = 45\)
\(84 - 67 = 17\)\(91 - 59 = 32\)

</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Column Subtraction"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 10,
"skills_matched": [
"step_cot",
"table_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Column Subtraction",
"Subtraction with Regrouping"
],
"new_concepts": [],
"current_concepts": [
"Column Subtraction",
"Subtraction with Regrouping"
]
}
</pre_analysis>

<reasoning>

Subtract first column values

\[

$$\begin{aligned} 84 - 26 &= 58 \\ 84 - 43 &= 41 \\ 84 - 44 &= 40 \\ 84 - 45 &= 39 \\ 84 - 67 &= 17 \end{aligned}$$

\]

Subtract second column values

\[

$$\begin{aligned} 91 - 27 &= 64 \\ 91 - 21 &= 70 \\ 91 - 10 &= 81 \\ 91 - 46 &= 45 \\ 91 - 59 &= 32 \end{aligned}$$

\]
</reasoning>

<answer>

\(84 - 26 = 58\)\(91 - 27 = 64\)
\(84 - 44 = 40\)\(91 - 10 = 81\)
\(84 - 45 = 39\)\(91 - 46 = 45\)
\(84 - 67 = 17\)\(91 - 59 = 32\)

</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Column Subtraction"
]
}
</post_analysis>