Regents Exam Questions CC.N.RN.3: Classifying Numbers
Page 1
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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
2 Given:
Which expression results in a rational number?
1)
2)
3)
4)
4) II, III, IV
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.
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.
6 Determine if the product of
and
is
rational or irrational. Explain your answer.
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
7 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
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1 ANS: 2
REF: 081522ai
2 ANS: 3
may be expressed as the ratio of two integers.
3
4
5
6
REF:
ANS:
ANS:
ANS:
ANS:
061413ai
1
1
2
REF: 011604ai
REF: 081401ai
REF: 061508ai
, which can be written as the ratio of two rational numbers.
REF: 061626ai
7 ANS:
Correct. The sum of a rational and irrational is irrational.
REF: 011525ai