Okay, I need to create a Wikipedia-style document about "Operations" under the categories of Education → Mathematics → Basic Math. Let me start by understanding the requirements.

First, the structure: H1 for the title, an overview section, several sections with H2 and H3 headings, and maybe references or related documents. The content needs to be accurate, objective, detailed enough, easy to read, and use technical terms with explanations. Also, markdown formatting with proper headings, lists, tables, code blocks if needed, and at least 800 characters.

The title is "연산" which translates to "Operations". So the main topic is mathematical operations. Let me think about what sections to include. The overview should introduce what operations are in basic math. Then, maybe break down into different types of operations: arithmetic (addition, subtraction, multiplication, division), then maybe exponents and roots, order of operations, properties like commutative, associative, distributive. Also, applications or examples could be a section.

Wait, the user mentioned "기초수학" so it's basic math. So I should focus on fundamental operations. Maybe also include how these operations are taught in education, common challenges students face, and maybe some historical context? But not sure if that's necessary. Let me check the requirements again: content quality needs to be accurate, with appropriate depth and breadth. So perhaps cover each operation type, their definitions, examples, properties, and applications.

For the overview section, I can explain what mathematical operations are, their importance in basic math education. Then under H2 sections, maybe:

1. 기본 산술 연산 (Basic Arithmetic Operations)
2. 덧셈 (Addition)
3. 뺄셈 (Subtraction)
4. 곱셈 (Multiplication)

5. 나눗셈 (Division)

6. 고급 연산 및 순서 (Advanced Operations and Order of Operations)

7. 거듭제곱과 제곱근 (Exponents and Roots)

8. 연산의 우선순위 (Order of Operations)

9. 연산의 성질 (Properties of Operations)

10. 교환법칙, 결합법칙, 분배법칙

11. 응용 및 예시 (Applications and Examples)

Then maybe a section on teaching methods or common mistakes? Or references to related topics like algebraic operations?

I need to make sure each section has enough detail. For example, under addition, explain what it is, how it's taught, examples, properties. Similarly for others.

Also, use technical terms but explain them. Like "exponent" should be explained as a power, and "root" as the inverse of exponentiation.

Check if I need to include tables or code blocks. Maybe a table comparing operations, their symbols, and definitions. Or an example of order of operations with a problem solved step by step.

Need to ensure that the total length is over 800 characters. Let me start drafting each section.

Title: # 연산

Overview: Introduce operations as fundamental in math, essential for problem-solving, used in daily life and education.

Basic Arithmetic Operations: - Addition: combining quantities, symbol +, examples. - Subtraction: removing, symbol -, examples. - Multiplication: repeated addition, symbol × or *, examples. - Division: splitting into equal parts, symbol ÷ or /, examples.

Advanced Operations: - Exponents: power, e.g., 2^3 = 8 - Roots: square root, cube root, etc. - Order of operations: PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

Properties: - Commutative: a + b = b + a, a × b = b × a - Associative: (a + b) + c = a + (b + c), etc. - Distributive: a(b + c) = ab + ac

Applications: Real-life examples like budgeting, measurements.

References: Maybe mention educational standards or textbooks.

Now check for markdown structure. Use H1 for title, H2 for sections, H3 if needed. Add lists and tables where appropriate. Make sure explanations are clear and concise. Avoid being too technical without explanation. Ensure each part flows logically.