FUNDAMENTAL THEOREM OF ARITHEMATIC
FUNDAMENTAL THEOREM OF ARITHEMATIC
Every composite number can be expressed
(factorised) as a product of primes, and this factorisation is unique apart
from the order in which the prime factors occur.
Componendo Dividendo
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 Question - If
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