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Estimation and Approximation Video Lecture - Class 5

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1. What is estimation and approximation?
Ans. Estimation and approximation are mathematical techniques used to find approximate values for quantities or measurements when the exact values are not known or difficult to calculate. These techniques involve making educated guesses or using simplified methods to arrive at close approximations.
2. How are estimation and approximation different from each other?
Ans. Estimation involves making an educated guess or providing a rough calculation for a quantity or measurement. It is based on experience, judgment, or available information. On the other hand, approximation is a more precise method that involves using simplified mathematical techniques to find values that are close to the actual value.
3. What are the applications of estimation and approximation?
Ans. Estimation and approximation are widely used in various fields such as engineering, finance, statistics, and science. They are used to solve complex problems, make predictions, analyze data, and simplify calculations. These techniques help in obtaining quick and reasonably accurate results when exact values are not required or not available.
4. How do estimation and approximation help in problem-solving?
Ans. Estimation and approximation techniques allow us to solve problems efficiently by simplifying complex calculations. They provide us with a reasonable estimate or approximation of the actual value, which is often sufficient for making decisions or solving real-world problems. These techniques save time and effort by avoiding lengthy and intricate computations.
5. What are some common methods of estimation and approximation?
Ans. There are several methods used for estimation and approximation, such as rounding, truncation, linear approximation, numerical methods (e.g., Newton's method), and statistical techniques (e.g., regression analysis). Each method has its own advantages and is suitable for different types of problems. The choice of method depends on the context and level of accuracy required.
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