Question

b162a kumon
subtraction of 3-digit numbers 1

subtract.
(1) \

$$\begin{array}{r} 134 \\\\ -\\phantom{0}12 \\\\ \\hline \\end{array}$$

(5) \

$$\begin{array}{r} 154 \\\\ -\\phantom{0}25 \\\\ \\hline \\end{array}$$

(2) \

$$\begin{array}{r} 134 \\\\ -\\phantom{0}14 \\\\ \\hline \\end{array}$$

(6) \

$$\begin{array}{r} 154 \\\\ -\\phantom{0}27 \\\\ \\hline \\end{array}$$

(3) \

$$\begin{array}{r} 134 \\\\ -\\phantom{0}16 \\\\ \\hline \\end{array}$$

(7) \

$$\begin{array}{r} 154 \\\\ -\\phantom{0}37 \\\\ \\hline \\end{array}$$

(4) \

$$\begin{array}{r} 134 \\\\ -\\phantom{0}18 \\\\ \\hline \\end{array}$$

(8) \

$$\begin{array}{r} 154 \\\\ -\\phantom{0}49 \\\\ \\hline \\end{array}$$

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 18,
"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>

Calculate page B161b column 1

\[

$$\begin{aligned} (11)\quad &145 - 10 = 135 \\ (12)\quad &145 - 21 = 124 \\ (13)\quad &145 - 13 = 132 \\ (14)\quad &145 - 32 = 113 \\ (15)\quad &145 - 44 = 101 \end{aligned}$$

\]

Calculate page B161b column 2

\[

$$\begin{aligned} (16)\quad &173 - 22 = 151 \\ (17)\quad &173 - 23 = 150 \\ (18)\quad &173 - 26 = 147 \\ (19)\quad &173 - 27 = 146 \\ (20)\quad &173 - 29 = 144 \end{aligned}$$

\]

Calculate page B162a columns 1 and 2

\[

$$\begin{aligned} (1)\quad &134 - 12 = 122 \\ (2)\quad &134 - 14 = 120 \\ (3)\quad &134 - 16 = 118 \\ (4)\quad &134 - 18 = 116 \\ (5)\quad &154 - 25 = 129 \\ (6)\quad &154 - 27 = 127 \\ (7)\quad &154 - 37 = 117 \\ (8)\quad &154 - 49 = 105 \end{aligned}$$

\]
</reasoning>

<answer>

No.	Problem	Answer
(12)	\(145 - 21\)	\(124\)
(13)	\(145 - 13\)	\(132\)
(14)	\(145 - 32\)	\(113\)
(15)	\(145 - 44\)	\(101\)
(16)	\(173 - 22\)	\(151\)
(17)	\(173 - 23\)	\(150\)
(18)	\(173 - 26\)	\(147\)
(19)	\(173 - 27\)	\(146\)
(20)	\(173 - 29\)	\(144\)
(1)	\(134 - 12\)	\(122\)
(2)	\(134 - 14\)	\(120\)
(3)	\(134 - 16\)	\(118\)
(4)	\(134 - 18\)	\(116\)
(5)	\(154 - 25\)	\(129\)
(6)	\(154 - 27\)	\(127\)
(7)	\(154 - 37\)	\(117\)
(8)	\(154 - 49\)	\(105\)

</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 18,
"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>

Calculate page B161b column 1

\[

$$\begin{aligned} (11)\quad &145 - 10 = 135 \\ (12)\quad &145 - 21 = 124 \\ (13)\quad &145 - 13 = 132 \\ (14)\quad &145 - 32 = 113 \\ (15)\quad &145 - 44 = 101 \end{aligned}$$

\]

Calculate page B161b column 2

\[

$$\begin{aligned} (16)\quad &173 - 22 = 151 \\ (17)\quad &173 - 23 = 150 \\ (18)\quad &173 - 26 = 147 \\ (19)\quad &173 - 27 = 146 \\ (20)\quad &173 - 29 = 144 \end{aligned}$$

\]

Calculate page B162a columns 1 and 2

\[

$$\begin{aligned} (1)\quad &134 - 12 = 122 \\ (2)\quad &134 - 14 = 120 \\ (3)\quad &134 - 16 = 118 \\ (4)\quad &134 - 18 = 116 \\ (5)\quad &154 - 25 = 129 \\ (6)\quad &154 - 27 = 127 \\ (7)\quad &154 - 37 = 117 \\ (8)\quad &154 - 49 = 105 \end{aligned}$$

\]
</reasoning>

<answer>

No.	Problem	Answer
(12)	\(145 - 21\)	\(124\)
(13)	\(145 - 13\)	\(132\)
(14)	\(145 - 32\)	\(113\)
(15)	\(145 - 44\)	\(101\)
(16)	\(173 - 22\)	\(151\)
(17)	\(173 - 23\)	\(150\)
(18)	\(173 - 26\)	\(147\)
(19)	\(173 - 27\)	\(146\)
(20)	\(173 - 29\)	\(144\)
(1)	\(134 - 12\)	\(122\)
(2)	\(134 - 14\)	\(120\)
(3)	\(134 - 16\)	\(118\)
(4)	\(134 - 18\)	\(116\)
(5)	\(154 - 25\)	\(129\)
(6)	\(154 - 27\)	\(127\)
(7)	\(154 - 37\)	\(117\)
(8)	\(154 - 49\)	\(105\)

</answer>

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