Learning Objectives By the end of this lesson, students will be able to: • Define rational numbers. • Identify examples of rational numbers. • Differentiate rational and irrational numbers. • Apply rational numbers in real-life situations.
What are Rational Numbers? Rational numbers are numbers that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0. Examples: • Fractions: 1/2, -3/4 • Integers: -2, 0, 5 • Terminating decimals: 0.25, -1.5 • Repeating decimals: 0.333...
Rational vs. Irrational Numbers Rational Numbers: • Can be expressed as fractions. • Terminating or repeating decimals. Irrational Numbers: • Cannot be expressed as fractions. • Non-terminating, non-repeating decimals. • Examples: √2, π
Applications of Rational Numbers • Money (₱, dollars, cents) • Measurements (height, weight, length) • Time (1/2 hour = 30 minutes) • Sharing and dividing objects equally
Practice Question Which of the following is a rational number? A. √2 B. 0.5 C. π D. √5
Summary • Rational numbers can be written as fractions. • They include integers, fractions, and some decimals. • Irrational numbers cannot be written as fractions. • Rational numbers are used in daily life.