EXCERCISE 5.2 ( 6TH STD)


 EXERCISE 5.2

3RD SUM

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BODMAS RULE IN MATHEMATICS

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  What is BODMAS ? The evaluation of an expression involving numbers is one of the basic tasks in arithmetic. If an expression contains addition (+), subtraction (-), multiplication (x), division (÷), bracket (), and Of (of), then the precedence of simplification of the operation is given by “BODMAS rule”. First, we have to know that what is  BODMAS rule ? Or What is BODMAS formula? BODMAS rule  is a rule or order that is used to simplify the arithmetic expression involving more operators in mathematics. When an equation involving more operators first we have to know that in which order we have to solve the expression. This problem is solved with the help of BODMAS rule. The full form of BODMAS is: B rackets (Parts of a calculation inside the bracket always come first). Precedence of brackets are : [{(bar)}] O rders (powers and square roots) D ivision M ultiplication A ddition S ubtraction Each letter of the word stands for the first letter of an operator. If an expressio...
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Pascal's Triangle Pascal’s Triangle  is a kind of number pattern.  Pascal’s Triangle is the triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression.  The numbers are so arranged that they reflect as a triangle. Firstly, 1 is placed at the top, and then we start putting the numbers in a triangular pattern. The numbers which we get in each step are the addition of the above two numbers. It is similar to the concept of  triangular numbers .  In this article, we are going to learn Pascal’s triangle history, definition, properties, patterns, formulas and examples with complete explanation. Table of contents: History Definition Construction How to use Patterns Properties Formula Expansion FAQs Pascal’s Triangle History Blaise Pascal was born at Clermont-Ferrand, in the Auvergne region of France on June 19, 1623. In 1653 he wrote the Treatise on the Arithmetical Triangle which today is known as the  Pascal’s Triang...
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History of Statistics

 The early writings on statistical inference date back to Arab mathematicians and cryptographers, during the Islamic Golden Age between the 8th and 13th centuries. Al-Khalil (717–786) wrote the Book of Cryptographic Messages, which contains the first use of permutations and combinations, to list all possible Arabic words with and without vowels.[13] In his book, Manuscript on Deciphering Cryptographic Messages, Al-Kindi gave a detailed description of how to use frequency analysis to decipher encrypted messages. Al-Kindi also made the earliest known use of statistical inference, while he and later Arab cryptographers developed the early statistical methods for decoding encrypted messages. Ibn Adlan (1187–1268) later made an important contribution, on the use of sample size in frequency analysis.[13] The earliest European writing on statistics dates back to 1663, with the publication of Natural and Political Observations upon the Bills of Mortality by John Graunt.[14] Early applicati...
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