CBSE Class 7  >  Class 7 Notes  >  Mathematics (Ganita Prakash) - New NCERT Part 1 & 2  >  NCERT Textbook: Large Numbers Around Us

NCERT Textbook: Large Numbers Around Us

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FAQs on NCERT Textbook: Large Numbers Around Us

1. How do we read and write numbers in crores and lakhs for CBSE Class 7?
Ans. The Indian numeral system groups digits into lakhs (5 digits from right), then crores (7 digits from right). For example, 1,23,45,678 reads as "one crore, twenty-three lakhs, forty-five thousand, six hundred and seventy-eight." Each period in the place value system represents a specific magnitude: ones, tens, hundreds, thousands, lakhs, and crores. Understanding this grouping helps students compare and order large numbers accurately.
2. What's the difference between the Indian place value system and the international numbering system?
Ans. The Indian system uses crores and lakhs (grouping by 2-2-3 digits), while the international system uses millions and billions (grouping by 3-3-3 digits). For instance, 10 million equals 1 crore in the Indian system. Class 7 students studying large numbers around us must recognise both formats because international data often uses billions, whereas Indian contexts use crores. This dual understanding is essential for interpreting real-world statistics.
3. Why do we need to understand large numbers when studying around us in real life?
Ans. Large numbers appear everywhere: India's population (over 140 crores), country's budget (in crores and lakhs), space distances, and economic data. Grasping these magnitudes helps students comprehend real-world scales and make sense of news, statistics, and everyday information. When studying large numbers around us, learners develop quantitative literacy-the ability to understand and compare vast quantities they encounter in textbooks, media, and society.
4. How do we convert large numbers between Indian and international systems for exams?
Ans. To convert, identify the number of digits and regroup: 1 crore = 10 million; 1 lakh = 100 thousand. For example, 5,00,00,000 (Indian) = 50,000,000 (international). Students preparing for Class 7 assessments should practise writing numbers in both formats and recognising their equivalents. Visual aids like flashcards and mind maps help reinforce these conversions quickly during revision.
5. What are the common mistakes students make when writing large numbers in expanded form?
Ans. Students often misalign place values or skip zeros, writing 1,05,000 as 1+5+0 instead of (1×10,00,000)+(5×1,000). Another error: forgetting that each digit represents its position's magnitude. The expanded form of large numbers requires multiplying each digit by its place value-ones, tens, hundreds, thousands, lakhs, and crores-then adding them. Practising with worksheets and visual references prevents these place value errors during exams.
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