Transcription of REAL NUMBERS 1
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REAL NUMBERS 1
REAL IntroductionIn Class IX, you began your exploration of the world of real NUMBERS and encounteredirrational NUMBERS . We continue our discussion on real NUMBERS in this chapter. Webegin with two very important properties of positive integers in Sections and ,namely the Euclid s division algorithm and the Fundamental Theorem of s division algorithm, as the name suggests, has to do with divisibility ofintegers. Stated simply, it says any positive integer a can be divided by another positiveinteger b in such a way that it leaves a remainder r that is smaller than b.
4MATHEMATICS An algorithm is a series of well defined steps which gives a procedure for solving a type of problem. The word algorithm comes from the name of the 9th century Persian mathematician al-Khwarizmi. In fact, even the word ‘algebra’
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