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sciboudy
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what is meaning of pai decimal expansion ?
The term "pai" refers to the mathematical constant, also known as "pi", which represents the ratio of a circle's circumference to its diameter. It is commonly approximated to 3.14 and has infinite decimal digits in its expansion.
Decimal expansion is used to represent the value of pai in a base-10 system, where each digit represents a specific power of 10. This allows for the accurate calculation of pai to a desired number of decimal places.
The decimal point in pai's expansion indicates the separation between the whole number part and the fractional part of the number. It is essential for representing the infinite number of digits in pai's decimal expansion.
Pai's decimal expansion is considered "irrational" because it cannot be expressed as a finite or repeating decimal. This means that the digits in its expansion continue infinitely without any pattern or repetition.
Understanding pai's decimal expansion is crucial in mathematics as it is used in various formulas and equations related to geometry, trigonometry, and physics. It also plays a significant role in the development of numerical methods and algorithms used in scientific and technological fields.