You are a highly experienced educational content creator  for Indian competitive exams such as Railway (Typist - Non_Technical_Posts) under the subject of Mathematics. The topic is **Number System**.. Your task is to generate a detailed **bilingual explanation (English + Hindi)** for a **mnemonic anagram letter** for topic Number System, using the following inputs.

    Generate a Markdown output using this structure:

    ---

    🧠 **Anagram (Short)**: DIVERSES  
    📖 **Expanded (English)**: Diverse Important Various Essential Rational Subtopics Encompassing Simple Elements  
    📖 **Expanded (Hindi)**: विविध महत्वपूर्ण विभिन्न आवश्यक तार्किक उपविषय सरल तत्वों को समेटे हुए

    ---

    ### 🔠 Letter: E / इ — *Estimation and Approximation / अनुमान और प्रत्याशा*

    #### 📚 Concept:
    - EN: Estimation and Approximation  
    - HI: अनुमान और प्रत्याशा

    #### 🧠 Type:
    - EN: Estimation and Approximation  
    - HI: अनुमान और प्रत्याशा

    #### 📖 Description:
    - EN: Using approximation or rounding off values to simplify calculations effectively.  
    - HI: मानों का अनुमान और सरलीकरण करके गणनाओं को आसान बनाना।

    #### 📌 Explanation:
    - EN: Estimation rounds values to simplify calculations, useful in exams for quick answers with tolerable error.  
    - HI: अनुमान गणनाएं सरल बनाने के लिए मानों को गोल करता है, जो परीक्षा में त्वरित उत्तर के लिए उपयोगी है।

    #### ➗ Formula or Relation:
    - EN: **Round numbers to nearest ten, hundred etc. based on digit place.**  
    - HI: **संख्याओं को निकटतम दस, सौ आदि में गोल करें।**

    #### 💡 Example Questions:
    **ENGLISH:**
    ['Estimate the product of 48.63 × 12.9 using approximation to the nearest integers and compare with the exact value. Discuss the practicality of using estimation in quick calculations in exams.', 'A store sells 299 items each costing approximately ₹49.75. Estimate the total price using approximation methods and identify the error margin with the actual total.', 'During daily calculations, rounding off large numbers is common. If a distance is 785.43 km and needs to be conveyed quickly, approximate it to the nearest hundred. Explain the significance of approximation in such cases.']

    **HINDI:**
    ['48.63 × 12.9 का गुणनफल निकटतम पूर्णांक तक अनुमानित करें और सही मान से तुलना करें। परीक्षा में त्वरित गणनाओं के लिए अनुमान लगाना क्यों उपयोगी है, चर्चा करें।', 'एक स्टोर में 299 वस्तुएं हैं, प्रत्येक की कीमत लगभग ₹49.75 है। अनुमानित कुल कीमत निकालें और वास्तविक कुल से त्रुटि सीमा निर्धारित करें।', 'दैनिक गणनाओं के दौरान बड़ी संख्याओं को गोल करना आम है। दूरी 785.43 किमी है, इसे सबसे नजदीकी सौ तक गोल करें। ऐसे अनुमानों का महत्व समझाएँ।']

    ---
    object should have:
        - "mnemonic_letter_english", "mnemonic_letter_hindi"
        - "type_english", "type_hindi"
        - "description_english", "description_hindi"
        - "difficulty_level_english", "difficulty_level_hindi"
        - "exam_frequency_english", "exam_frequency_hindi"
        - "time_to_solve_english", "time_to_solve_hindi"
        - "clue_words_english": list of 4-5 identifying keywords/phrases
        - "clue_words_hindi": same in Hindi
        - "what_to_use_english", "what_to_use_hindi"
        - "formula_english", "formula_hindi"
        - "alternative_formulas_english", "alternative_formulas_hindi": list of 2-3 alternative formulas
        - "algorithm_english", "algorithm_hindi": step-by-step string list
        - "quick_method_english", "quick_method_hindi"

        - "example": answer all  the question give as Example Questions.
 
          - Require multi-step calculation or reasoning.
          - NOT be short phrases, fragments, or simplified school-level word problems.each Example Questions should be including:
            - "example_no"
            - "question_english", "question_hindi"
            - "solution_steps_english": step list
            - "solution_steps_hindi": step list
            - "answer_english", "answer_hindi"
            - "verification_english", "verification_hindi"

        - "variations_english", "variations_hindi": list of variation types
        - "related_concepts_english", "related_concepts_hindi": related subtopics or concepts
        - "common_mistakes_english", "common_mistakes_hindi": list of 10 traps or errors
        - "tip_english", "tip_hindi": short-cut or important tip
        - "prerequisite_knowledge_english", "prerequisite_knowledge_hindi": list of 3 concepts
        - "practice_problems_english", "practice_problems_hindi": list of 3  full-length and detailed practical, compact competitive-level example questions** per type.  
      ⚠️ NOTE : Ensure answer all the question of Example Questions in the example key

        Use simple, learner-friendly language and return only the JSON object in your response, formatted with proper indentation and structure.
        Use clear language suitable for aptitude learners and format the JSON cleanly

### 🔁 output JSon should be

```json
            { 
              "mnemonic_letter_english": "",
              "mnemonic_letter_hindi": "",
              "type_english": "",
              "type_hindi": "",
              "description_english": "",
              "description_hindi": "",
              "difficulty_level_english": "",
              "difficulty_level_hindi": "",
              "exam_frequency_english": "",
              "exam_frequency_hindi": "",
              "time_to_solve_english": "",
              "time_to_solve_hindi": "",
              "clue_words_english": [
                  "",
                  "",
                  "",
                  "",
                  ""
              ],
              "clue_words_hindi": [
                  "",
                  "",
                  "",
                  "",
                  ""
              ],
              "what_to_use_english": "",
              "what_to_use_hindi": "",
              "formula_english": "",
              "formula_hindi": "",
              "alternative_formulas_english": [
                  "",
                  ""
              ],
              "alternative_formulas_hindi": [
                  "",
                  ""
              ],
              "algorithm_english": [
                  "",
                  "",
                  "",
                  ""
              ],
              "algorithm_hindi": [
                  "",
                  "",
                  "",
                  ""
              ],
              "quick_method_english": "",
              "quick_method_hindi": "",
              "example": [
                  {
                  "example_no":"",
                  "question_english": "",
                  "question_hindi": "",
                  "solution_steps_english": [
                      "",
                      "",
                      "",
                      "",
                      ""
                  ],
                  "solution_steps_hindi": [
                      "",
                      "",
                      "",
                      "",
                      ""
                  ],
                  "answer_english": "",
                  "answer_hindi": "",
                  "verification_english": "",
                  "verification_hindi": ""
              }..,],
              "variations_english": [
                  "",
                  "",
                  ""
              ],
              "variations_hindi": [
                  "",
                  "",
                  ""
              ],
              "related_concepts_english": [
                  "",
                  "",
                  ""
              ],
              "related_concepts_hindi": [
                  "",
                  "",
                  ""
              ],
              "common_mistakes_english": [
                  "",
                  ""
              ],
              "common_mistakes_hindi": [
                  "",
                  ""
              ],
              "tip_english": "",
              "tip_hindi": "",
              "prerequisite_knowledge_english": [
                  "",
                  "",
                  ""
              ],
              "prerequisite_knowledge_hindi": [
                  "",
                  "",
                  ""
              ],
              "practice_problems_english": [
                  "",
                  ""
              ],
              "practice_problems_hindi": [
                  "",
                  ""
              ]
          }