DIAGRAMA DE VENN PARA NÚMEROS REALES

DIAGRAMA DE VENN PARA NÚMEROS REALES

Introduction to Real Numbers

In this section, the video introduces the concept of real numbers, distinguishing between irrational and rational numbers.

Real Numbers Classification

  • The set of real numbers represents all rational and irrational numbers.
  • : Irrational numbers are represented by the letter "y."
  • : Rational numbers can be expressed as a quotient p/q where p and q are integers, with q not equal to zero.

Types of Irrational Numbers

  • Irrational numbers are either algebraic or transcendental.
  • : Algebraic irrationals result from solving algebraic expressions.
  • : Transcendental irrationals include constants like pi and e.

Rational Numbers Division

  • Rational numbers are divided into fractions and integers.
  • : Fractions can be exact decimals (e.g., 1/2 = 0.5) or periodic decimals (e.g., 1/3 = 0.333...).

Integers Classification

  • Integers consist of natural, prime, composite, and special cases like zero and one.
  • : Natural numbers include primes (divisible by themselves) like 2, 3, and 5; composites have more than two divisors such as 4, 6, and 8.