Showing posts with label Large Numbers). Show all posts
Showing posts with label Large Numbers). Show all posts

Thursday, August 21, 2025

(Class 8 – Ganita Prakash – Power Play, Large Numbers),

 (Class 8 – Ganita Prakash – Power Play, Large Numbers),

  • Ancient number names (Buddhist, Jaina, Pali texts)

  • Indian system of naming large numbers (Lakh, Crore, Arab …)

  • International/American system (Million, Billion, Trillion …)

  • Connection between the two systems (step of 100 vs step of 1000)

  • Prefixes in International system (bi, tri, quadri, quint, sext, sept …)

  • Special numbers (Googol, Googolplex, atoms in universe)

  • Currency examples (India, Zimbabwe, Hungary)

  • Mathematical representations (10² × 10³ = 10⁵ type expansion)

  • Historical importance (texts, mathematicians)

  • A. Ancient Traditions (Buddhist / Jaina / Pali)

    1. In the Lalitavistara, “ayuta” represents:
    a) 10⁷ b) 10⁹ c) 10¹¹ d) 10¹³
    ✔ b) 10⁹

    2. 100 ayuta equals:
    a) Niyuta b) Kankara c) Shankh d) Padma
    ✔ a) Niyuta (10¹¹)

    3. 100 niyuta equals:
    a) Kankara b) Tallakshana c) Sarvajna d) Arab
    ✔ a) Kankara (10¹³)

    4. Lalitavistara names continue up to which power of 10?
    a) 10²³ b) 10⁴⁷ c) 10⁵³ d) 10⁹⁶
    ✔ c) 10⁵³

    5. Who gave a list of 24 terms (up to 10²³)?
    a) Aryabhata b) Mahaviracharya c) Brahmagupta d) Bhaskara
    ✔ b) Mahaviracharya

    6. Which Jaina treatise gives names up to 10⁹⁶?
    a) Amalasiddhi b) Lalitavistara c) Ganita-sara-sangraha d) Asaṅkhyeya
    ✔ a) Amalasiddhi

    7. Kāccāyana’s Pali grammar lists numbers up to:
    a) 10⁹ b) 10²³ c) 10⁹⁶ d) 10¹⁴⁰
    ✔ d) 10¹⁴⁰


    B. Indian Numbering System

    8. 1 lakh =
    a) 10³ b) 10⁵ c) 10⁶ d) 10⁷
    ✔ b) 10⁵

    9. 1 crore =
    a) 10⁵ b) 10⁶ c) 10⁷ d) 10⁹
    ✔ c) 10⁷

    10. 1 arab =
    a) 10⁷ b) 10⁹ c) 10¹¹ d) 10¹³
    ✔ b) 10⁹

    11. 1 kharab =
    a) 10⁹ b) 10¹¹ c) 10¹³ d) 10¹⁵
    ✔ b) 10¹¹

    12. 1 neel =
    a) 10¹³ b) 10¹⁵ c) 10¹⁷ d) 10¹⁹
    ✔ a) 10¹³

    13. 1 padma =
    a) 10¹³ b) 10¹⁵ c) 10¹⁷ d) 10¹⁹
    ✔ b) 10¹⁵

    14. 1 shankh =
    a) 10¹³ b) 10¹⁵ c) 10¹⁷ d) 10¹⁹
    ✔ c) 10¹⁷

    15. 1 maha shankh =
    a) 10¹³ b) 10¹⁷ c) 10¹⁹ d) 10²¹
    ✔ c) 10¹⁹


    C. International / American System

    16. 1 million =
    a) 10⁵ b) 10⁶ c) 10⁷ d) 10⁸
    ✔ b) 10⁶

    17. 1 billion =
    a) 10⁶ b) 10⁹ c) 10¹² d) 10¹⁵
    ✔ b) 10⁹

    18. 1 trillion =
    a) 10⁹ b) 10¹² c) 10¹⁵ d) 10¹⁸
    ✔ b) 10¹²

    19. 1 quadrillion =
    a) 10¹² b) 10¹⁵ c) 10¹⁸ d) 10²¹
    ✔ b) 10¹⁵

    20. 1 quintillion =
    a) 10¹⁵ b) 10¹⁸ c) 10²¹ d) 10²⁴
    ✔ b) 10¹⁸

    21. 1 sextillion =
    a) 10²¹ b) 10²⁴ c) 10²⁷ d) 10³⁰
    ✔ a) 10²¹

    22. 1 septillion =
    a) 10²¹ b) 10²⁴ c) 10²⁷ d) 10³⁰
    ✔ b) 10²⁴

    23. 1 octillion =
    a) 10²⁴ b) 10²⁷ c) 10³⁰ d) 10³³
    ✔ b) 10²⁷

    24. 1 nonillion =
    a) 10²⁷ b) 10³⁰ c) 10³³ d) 10³⁶
    ✔ b) 10³⁰

    25. 1 decillion =
    a) 10³³ b) 10³⁶ c) 10³⁹ d) 10⁴²
    ✔ a) 10³³


    D. Prefix Understanding

    26. The prefix “bi-” in billion means:
    a) 2 b) 3 c) 6 d) 9
    ✔ a) 2

    27. The prefix “tri-” in trillion means:
    a) 2 b) 3 c) 12 d) 9
    ✔ b) 3

    28. “Quadri-” in quadrillion means:
    a) 3 b) 4 c) 5 d) 6
    ✔ b) 4

    29. “Quint-” in quintillion stands for:
    a) 4 b) 5 c) 6 d) 7
    ✔ b) 5

    30. “Sext-” in sextillion represents which power multiple?
    a) 10¹² b) 10¹⁵ c) 10²¹ d) 10³⁰
    ✔ c) 10²¹


    E. Special Numbers

    31. A googol equals:
    a) 10⁵³ b) 10¹⁰⁰ c) 10¹⁰⁰⁰ d) 10²¹
    ✔ b) 10¹⁰⁰

    32. A googolplex equals:
    a) 10¹⁰⁰
    b) 10^(10¹⁰⁰)
    c) 10²¹
    d) 10¹⁴⁰
    ✔ b) 10^(10¹⁰⁰)

    33. Estimated number of atoms in the universe is about:
    a) 10⁵³ b) 10⁷⁸ – 10⁸² c) 10⁹⁶ d) 10¹⁴⁰
    ✔ b) 10⁷⁸ – 10⁸²


    F. Currency and Real-World Examples

    34. The highest Indian currency note today is:
    a) ₹1000 b) ₹2000 c) ₹5000 d) ₹10,000
    ✔ b) ₹2000

    35. Zimbabwe once issued a note of value:
    a) 1 billion b) 100 trillion c) 1 quadrillion d) 1 sextillion
    ✔ b) 100 trillion (10¹⁴)

    36. Hungary printed a note of value:
    a) 10¹² b) 10¹⁴ c) 10²¹ d) 10³³
    ✔ c) 10²¹ (1 sextillion)


    G. Mathematical Representations

    37. 100 × 1000 =
    a) 10³ b) 10⁵ c) 10⁶ d) 10⁷
    ✔ b) 10⁵

    38. 10² × 10³ =
    a) 10⁵ b) 10⁶ c) 10⁷ d) 10⁸
    ✔ a) 10⁵

    39. 10² × 10⁵ =
    a) 10⁷ b) 10⁹ c) 10¹⁰ d) 10¹¹
    ✔ a) 10⁷

    40. 10² × 10⁷ =
    a) 10⁸ b) 10⁹ c) 10¹⁰ d) 10¹¹
    ✔ b) 10⁹

    41. 10³ × 10³ =
    a) 10⁵ b) 10⁶ c) 10⁷ d) 10⁹
    ✔ b) 10⁶

    42. 10³ × 10⁶ =
    a) 10⁷ b) 10⁸ c) 10⁹ d) 10¹²
    ✔ c) 10⁹

    43. 10³ × 10⁹ =
    a) 10¹² b) 10¹³ c) 10¹⁴ d) 10¹⁵
    ✔ a) 10¹²


    H. Conceptual Understanding

    44. The difference between Indian and International systems is mainly:
    a) Indian uses 1000 base, International uses 100 base
    b) Indian uses 100 base, International uses 1000 base
    c) Both same
    d) None
    ✔ b) Indian = 100 base, International = 1000 base

    45. In Indian system, “padma” corresponds to:
    a) 10¹³ b) 10¹⁵ c) 10¹⁷ d) 10¹⁹
    ✔ b) 10¹⁵

    46. The term “asaṅkhyeya” in Pali grammar corresponds to:
    a) 10¹⁰⁰
    b) 10¹⁴⁰
    c) 10¹⁵
    d) 10¹²
    ✔ b) 10¹⁴⁰

    47. The term “dasha-ananta” in Amalasiddhi refers to:
    a) 10²³ b) 10⁹⁶ c) 10¹⁴⁰ d) 10⁷⁸
    ✔ b) 10⁹⁶

    48. In International system, “nonillion” is:
    a) 10²⁷ b) 10³⁰ c) 10³³ d) 10³⁶
    ✔ b) 10³⁰

    49. In Indian system, which comes immediately after crore?
    a) Arab b) Kharab c) Neel d) Padma
    ✔ a) Arab

    50. Which number is unimaginably larger than even a googol?
    a) Shankh b) Googolplex c) Asaṅkhyeya d) Tallakshana
    ✔ b) Googolplex

  • (Class 8 – Ganita Prakash – Power Play, Large Numbers),

     ( Class 8 – Ganita Prakash – Power Play, Large Numbers ), Ancient number names (Buddhist, Jaina, Pali texts) Indian system of naming larg...