MATHSLEARNING

  Componendo Dividendo Componendo and dividendo is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed. It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions. The theorem is represented by the following formula: a/(b+c) = (a/b) + (a/c). The theorem is named for its two Latin terms: “componendo,” which means “by combining,” and “dividendo,” which means “by dividing.” The theorem can be applied to any type of number, including fractions, decimals, and negative numbers. Componendo Dividendo Rule Proof So, it can be expressed as a : b = c : d and (a + b ) : (a – b) = (c + d) : (c – d). It is true that if the ratio of a to b = c to d, then the ratio of (a + b) to (a – b) is the same as (c + d) to (c – d). This is termed the componendo and dividendo rule. Also get information from insta handle  @ maths_world61 Ques...

 ADDITION,SUBTRACTION,MULTIPLICATION,DIVISION Addition 3 + 2 = 5 with apples, a popular choice in textbooks Addition   (usually signified by the plus symbol  + ) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or  sum  of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression  "3 + 2 = 5"  (that is, "3  plus  2 is equal to 5"). Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a b...