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Common Core Standard HSN-RN.B.3 Questions

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.

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Grade 11 Rational and Irrational Numbers CCSS: HSN-RN.B.3

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What is the missing reason in step 2?
  1. Given
  2. Division Property of Equality
  3. Definition of rational numbers
  4. Any number can be rewritten in another form
Grade 10 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Grade 10 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Grade 11 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Which of the following disproves the statement that the sum of two irrational numbers is always irrational?
  1. 3+3=6
  2. 2+(-2)=0
  3. 16+4=6
  4. None of the above, since this is a true statement.
Grade 11 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Which of the following disprove(s) the statement that the product of two irrational numbers is always irrational? Choose all that apply.
  1. 5(15)=1
  2. 91327=1
  3. 128=2
  4. None of the above, since this statement is true.
Grade 10 Rational and Irrational Numbers CCSS: HSN-RN.B.3

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