1/24/2016 -- Intermediate: Rational and decimal representations of fractions. (Oleg Gleizer)

We will resume our study of fractions from Problem 8 of the 1/17 handout. We will learn geometric sequences and use them as a tool to find rational representations of real numbers having an infinite recurring part in the decimal form. We will further construct a bijection between the set of rational numbers (p/q, p and q co-prime integers) and the set of real numbers having the terminating (finite) or infinite recurring form.

	Info About ORMC Directions History Leadership Mathematics competitions Olga Radko: In Memoriam Opportunities for UCLA students ORMC Projects Our books People Student Research Admission Apply to ORMC MyCircle login ORMC Entry Points Circle Rules Contact us Meetings Current Year Previous Years F.A.Q. Support us Site search: ✎
	1/24/2016 -- Intermediate: Rational and decimal representations of fractions. (Oleg Gleizer) We will resume our study of fractions from Problem 8 of the 1/17 handout. We will learn geometric sequences and use them as a tool to find rational representations of real numbers having an infinite recurring part in the decimal form. We will further construct a bijection between the set of rational numbers (p/q, p and q co-prime integers) and the set of real numbers having the terminating (finite) or infinite recurring form.