Rational and Irrational Numbers Standards Use properties of

Rational and Irrational Numbers

Standards: Use properties of rational and irrational numbers. MGSE 9– 12. N. RN. 2 Rewrite expressions involving radicals (i. e. , simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). MGSE 9– 12. N. RN. 3 Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.

EQ: Why is the sum or product of rational numbers rational? • Why is the sum of a rational number and irrational number irrational? • Why is the product of a nonzero rational number and an irrational number irrational?

Real Number System

Definition: Rational Numbers A number expressible in the form a/b or – a/b for some fraction a/b. The rational numbers include the integers Irrational Numbers • A number whose decimal form is nonterminating and nonrepeating. Irrational numbers cannot be written in the form a/b, where a and b are integers (b cannot be zero). So all numbers that are not rational are irrational.

Determine whether Rational or Irrational 24

Answers: Irrational Rational 24 Irrational Rational