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What is Large Number? Video Lecture - Class 3

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1. What is considered a large number in mathematics?
Ans. In mathematics, a large number refers to a number that is significantly greater than the average or typical numbers in a given context. The exact definition of a large number can vary depending on the specific context or field of study.
2. How are large numbers represented in scientific notation?
Ans. Large numbers can be represented in scientific notation, which is a way to express numbers as a product of a decimal number between 1 and 10, and a power of 10. For example, the number 1,000,000 can be written as 1 x 10^6 in scientific notation.
3. What are some examples of large numbers used in practical applications?
Ans. Large numbers are commonly used in various practical applications. Some examples include the population of a country, the mass of celestial bodies such as stars or planets, the distance between galaxies, the number of molecules in a sample, or the amount of data stored on a computer.
4. How are large numbers used in cryptography?
Ans. Large numbers play a crucial role in cryptography, particularly in public-key encryption algorithms. These algorithms rely on the difficulty of factoring large numbers into their prime factors. The larger the numbers used, the more secure the encryption becomes, as it becomes computationally infeasible to factorize them.
5. Can large numbers be infinite?
Ans. No, large numbers are not infinite. While large numbers can be extremely large, they still have a finite value. The concept of infinity refers to a mathematical concept that represents an unbounded quantity, which is different from simply having a very large numerical value.
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