AMC 10 AMC-8 I.S.I. and C.M.I. Entrance Math Olympiad

Division Algorithm

Division algorithm leads to form of a number. That in turn is useful in Number Theory. Learn it in this self-learning module for ISI Entrance and math olympiad

Concept – Division Algorithm

Let’s discuss the concept of Division Algorithm.

Given any integers a and b with 𝑎≠0 there exist unique integers q and r such that 𝑏=𝑞𝑎+𝑟,𝑜â‰Ī𝑟<|𝑎| . If a does not divide b then r satisfies the stronger inequality 0<𝑟<|𝑎|.

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By Ashani Dasgupta

Founder Director at Cheenta
Pursuing Ph.D. in Mathematics from University of Wisconsin Milwaukee
Research Interest - Geometric Topology

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