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Rational and Irrational Numbers Questions - All Grades

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Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
All non-terminating decimals are irrational numbers.
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
All rational numbers can be expressed as terminating decimals.
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of these numbers is irrational?
  1. √36
  2. -175
  3. √9
  4. √99
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of these numbers is irrational?
  1. √29
  2. 25
  3. 13
  4. 7
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of these numbers is irrational?
  1. √13
  2. 113
  3. 131
  4. 139
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. 458
  2. √25
  3. 5645
  4. √53
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is rational.
  1. √8253
  2. 6√25
  3. √123
  4. 1024√63
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

√93 is between which two numbers?
  1. 9 and 9.5
  2. 9.5 and 10
  3. 10 and 11
  4. 11 and 11.5
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

√507 is between which two numbers?
  1. 1 and 2
  2. 2 and 3
  3. 3 and 4
  4. 4 and 5
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. √3969
  2. √2892500
  3. √289250
  4. √9801
Grade 10 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Which of the following, if added to 10, would result in a rational number? Choose all correct answers.
  1. √3
  2. √16
  3. π
  4. 43
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 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of these numbers is rational?
  1. √29√17
  2. √9√25
  3. √13
  4. √63√9
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. 98
  2. 56
  3. √63
  4. √144
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is rational.
  1. 769√254
  2. √7985
  3. 154725
  4. √463
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Which of these is the closest approximation for √592?
  1. 5.09
  2. 5.43
  3. 5.02
  4. 5.20
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Which of these is the closest approximation for √88?
  1. 9.3810
  2. 9.38083
  3. 8.28083
  4. 9.3808
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
2√33 is a rational number.
  1. True
  2. False
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