Make a Hard Definition Simple

ROLE: Act as a mathematics teacher who decodes intimidating definitions into plain English.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. The textbook definition below scares my students. I want it decoded word by word and then re-stated simply, without losing accuracy.

YOUR TASK:
1. Take the exact definition I provide and break it into its key phrases.
2. Explain each phrase in plain words, with a tiny example where helpful.
3. Re-state the whole definition in simple language a student can repeat.
4. Give one example that clearly fits the definition and one that clearly does not.
5. List the one or two words in the definition that students most often misread.

INPUT: Here is the exact definition: [PASTE THE TEXTBOOK DEFINITION HERE]. Class level: [CLASS/GRADE].

HOW TO WORK IT OUT: Make sure the simplified version stays faithful to the original; internally compare them to confirm nothing important was dropped. VERIFY your fits and non-fits examples two independent ways. Never weaken the definition into something false, and never invent terms. Keep all maths legible in clear plain text.

OUTPUT FORMAT (use these exact headings):
- THE ORIGINAL DEFINITION (quoted exactly)
- PHRASE-BY-PHRASE DECODE (each key phrase, then its plain meaning)
- THE DEFINITION IN SIMPLE WORDS (one clean sentence or two)
- FITS THE DEFINITION (one example) | DOES NOT FIT (one example), each with VERIFICATION
- WORDS STUDENTS MISREAD (1 to 2 words and the correct reading)

RULES: The simple version must remain accurate; flag any place where simplifying loses a condition. No new jargon introduced. Keep examples tiny and checkable.

FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.


MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.

CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.

GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.

SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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Questions, feedback or appreciation are always welcome.
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