Regents Exam Questions CC.N.RN.3: Classifying Numbers Page 1 www.jmap.org Name: __________________________________ CC.N.RN.3: Classifying Numbers: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 1 For which value of P and W is number? 1) and 2) a rational and 3) and 4) and 4 Which statement is not always true? 1) The product of two irrational numbers is irrational. 2) The product of two rational numbers is rational. 3) The sum of two rational numbers is rational. 4) The sum of a rational number and an irrational number is irrational. 2 Given: Which expression results in a rational number? 1) 2) 3) 4) 5 Which statement is not always true? 1) The sum of two rational numbers is rational. 2) The product of two irrational numbers is rational. 3) The sum of a rational number and an irrational number is irrational. 4) The product of a nonzero rational number and an irrational number is irrational. 3 Given the following expressions: I. III. II. IV. Which expression(s) result in an irrational number? 1) II, only 2) III, only 3) I, III, IV 4) II, III, IV 6 Ms. Fox asked her class "Is the sum of 4.2 and rational or irrational?" Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify your reasoning. Regents Exam Questions CC.N.RN.3: Classifying Numbers www.jmap.org 1 ANS: 2 REF: 081522ai 2 ANS: 3 may be expressed as the ratio of two integers. 3 4 5 6 REF: 061413ai ANS: 1 REF: 011604ai ANS: 1 REF: 081401ai ANS: 2 REF: 061508ai ANS: Correct. The sum of a rational and irrational is irrational. REF: 011525ai