Crore: Definitions and Examples

Crore: Definitions, Formulas, & Examples

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    Introduction:

    In the Indian numbering system, the term crore is used to represent the number ten million or 1,00,00,000. The word crore has its origin in the Sanskrit language, and it was first used during the Vedic period. It is a commonly used term in India and is an integral part of the Indian numbering system.

    The term crore is often used in financial transactions, as well as in everyday life. For example, when people talk about the population of India, they often refer to it in crores. Similarly, when talking about the revenue of a company or the budget of a government, crores are often used to represent the figures.

    In the Indian numbering system, the crore is the second-largest unit, after the lakh. One lakh represents one hundred thousand or 1,00,000, and one crore is equal to ten lakhs. In other words, one crore is equal to one hundred lakh or ten million.

    The use of crore in India can be traced back to ancient times. In fact, the word crore has been mentioned in several ancient Indian texts. For example, the Rigveda, one of the oldest Indian texts, mentions the word crore in several places. Similarly, the Mahabharata and the Ramayana also refer to crore in various contexts.

    What is a crore?

    A crore is a unit of measurement commonly used in India, Bangladesh, Nepal, and Pakistan to represent 10 million. To put this number in perspective, one crore is equivalent to 100 lakhs or 1,00,00,000. It’s derived from the Sanskrit word “koti,” which means ten million.

    In the Indian numbering system, numbers are grouped into sets of two digits. For instance, 12 is written as 1-2, 123 is 1-2-3, and so on. However, when you reach 10,000, the grouping changes. Instead of using a hyphen to separate the digits, a comma is used. So, 10,000 is written as 10,000, and 1 crore is written as 1,00,00,000.

    Uses of crore:

    A crore is used in a variety of contexts, including finance, business, and population statistics. Here are some examples of how a crore is used:

    1. Finance: In the financial world, a crore is frequently used to represent large sums of money. For instance, if you have a crore of rupees, you have 10 million rupees. This amount can be significant in the context of investments, loans, and other financial transactions.
    2. Business: In the business world, a crore is used to represent the size of a company’s revenues, profits, and market capitalization. For example, a company that earns a crore in revenue has earned 10 million rupees. Similarly, a company with a market capitalization of 100 crores has a valuation of 1 billion rupees.
    3. Population statistics: In population statistics, a crore is used to represent the number of people in a region. For instance, the population of India is over 1.3 billion, which is equivalent to 130 crores.
    4. Sports: In sports, a crore is frequently used as the prize money for tournaments and competitions. For example, the winner of the Indian Premier League (IPL) cricket tournament receives a prize of 10 crores.
    5. Film industry: In the Indian film industry, a crore is used to represent the box office collections of a movie. For example, if a movie earns 100 crores at the box office, it has earned 1 billion rupees.

    Examples:

    Let’s take a look at some examples to help you understand how a crore is used in different contexts:

    1. Finance: If you have a fixed deposit in a bank for 1 crore rupees, you can earn a significant amount of interest. For instance, if the interest rate is 6%, you’ll earn an annual interest of 6 lakhs.
    2. Business: If a company has a market capitalization of 500 crores, it’s considered a mid-sized company in India. However, if a company has a market capitalization of 10,000 crores or more, it’s considered a large-cap company.
    3. Population statistics: The population of Mumbai, India, is approximately 2 crores. This means that there are over 20 million people living in Mumbai.
    4. Sports: The winner of the 2020 Indian Premier League (IPL) cricket tournament received a prize of 10 crores. This translates to approximately 1.3 million US dollars.

    Quiz

    1. What is a crore? Answer: A crore is a term used in the Indian numbering system to represent 10 million or 1,00,00,000.
    2. How many zeroes are in a crore? Answer: A crore has seven zeroes.
    3. What is the symbol used for crore? Answer: In India, a comma is used to separate digits in large numbers, so there is no specific symbol for crore.
    4. How is crore pronounced? Answer: It is pronounced “krore” with a long “o” sound.
    5. What is the equivalent of one crore in English? Answer: One crore is equivalent to 10 million in English.
    6. What is the highest denomination of Indian currency that uses the term crore? Answer: The highest denomination of Indian currency that uses crore is the Rs 2000 note, which is worth two crore rupees.
    7. In which countries is crore used as a term for large numbers? Answer: Crore is primarily used in South Asian countries like India, Pakistan, Bangladesh, and Nepal.
    8. What is the origin of the term crore? Answer: The term crore comes from the Sanskrit word “koti”, which means “ten million”.
    9. How many lakhs are in a crore? Answer: There are 100 lakhs in a crore.
    10. How is crore used in everyday life in India? Answer: Crore is commonly used in India to express large numbers, especially in financial contexts like budgets, investments, and earnings.

     

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    Crore:

    Number line

    Number line

    Number name

    10 million

    Number length

    8 decimal digits

    Binary form

    100110001001011010000000_2

    Prime factorization

    2^7×5^7

    Residues modulo small integers

    m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
10000000 mod m | 0 | 1 | 0 | 0 | 4 | 3 | 0 | 1

    Properties

    10000000 is an even number.

    10000000 = 10^7 is a perfect 7th power.

    10000000 has 4 representations as a sum of 2 squares:
10000000 = 120^2 + 3160^2 = 1000^2 + 3000^2 = 1800^2 + 2600^2 = 1992^2 + 2456^2

    Comparisons

    ≈ 0.1 × the largest number in the Bible, said to be the number of angels ( 1×10^8)

    ≈ 0.3 × the fifth perfect number ( 3.4×10^7)

    ≈ 2.7 × the number of arrangements of a 2×2×2 Rubik's cube ( 3.7×10^6)

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