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From the image you shared, here are **five challenging questions** based on the material, along with their answers, to help you prepare for an exam:

### 1. **Question:**
   Express the number **23,45,000** in expanded notation and write it in words.

   **Answer:**
   Expanded notation:  
   \( 20,00,000 + 3,00,000 + 40,000 + 5,000 \)

   In words:  
   Twenty-three lakh, forty-five thousand.

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### 2. **Question:**
   A company gained **87,23,986** new users in a year. Write the number in expanded form and in words.

   **Answer:**
   Expanded notation:  
   \( 80,00,000 + 7,00,000 + 20,000 + 3,000 + 900 + 80 + 6 \)

   In words:  
   Eighty-seven lakh, twenty-three thousand, nine hundred eighty-six.

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### 3. **Question:**
   Suppose a city’s population is **14,00,651**. Break this number down in expanded notation and also write it in words.

   **Answer:**
   Expanded notation:  
   \( 10,00,000 + 4,00,000 + 600 + 50 + 1 \)

   In words:  
   Fourteen lakh, six hundred fifty-one.

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### 4. **Question:**
   What is the correct way to express **52,07,486** in words? Break down the components of the number to identify the lakhs, thousands, and other place values.

   **Answer:**
   **In words:** Fifty-two lakh, seven thousand, four hundred eighty-six.

   Breakdown:  
   - Lakhs: \( 52 \)
   - Thousands: \( 07 \)
   - Hundreds: \( 4 \)
   - Tens: \( 8 \)
   - Ones: \( 6 \)

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### 5. **Question:**
   Given the number **45,62,348**, write the number in expanded form and describe the common mistake that may arise when writing it in words.

   **Answer:**
   Expanded notation:  
   \( 40,00,000 + 5,00,000 + 60,000 + 2,000 + 300 + 40 + 8 \)

   Common mistake:  
   Writing “Forty-five lakhs, sixty-two thousand” without properly separating the lakhs and thousands.  
   Correct form: **Forty-five lakh, sixty-two thousand, three hundred forty-eight.**

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### Tip:
When writing numbers in Indian numbering system, always be cautious about separating **lakhs** and **thousands** properly.

Need questions and answers from the above content for exam preparation. Generate new tough questions.

Prepare for exams with challenging questions on place value, expanded notation, and writing numbers in words using the Indian numbering system. Learn to handle large numbers like 13,92,684 and 87,23,986 with confidence.

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