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Common Core Standard 8.NS.A.2 Questions

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

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Grade 8 Radicals CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

[math]sqrt(84)[/math] is between
  1. 10 and 11
  2. 9 and 10
  3. 8 and 9
  4. 7 and 8
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

[math]sqrt(75)[/math] is between
  1. 8 and 8.5
  2. 8.5 and 9
  3. 7.5 and 8
  4. 9 and 9.5
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer

[math]sqrt(106)[/math] is between
  1. 10 and 11
  2. 9 and 10
  3. 11 and 12
  4. 8 and 9
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer
[math]sqrt(67)[/math] is between
  1. 9 and 9.5
  2. 9.5 and 10
  3. 8 and 9
  4. 7 and 8
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer

[math]sqrt(65)/7[/math] is between
  1. 1 and 1.2
  2. 1 and 1.3
  3. 1 and 1.4
  4. 1 and 1.5
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer

[math]sqrt(5)[/math] is between
  1. 0 and 0.5
  2. 0 and 1
  3. 1 and 2
  4. 2 and 3
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

[math]sqrt(93)[/math] is between
  1. 9 and 9.5
  2. 9.5 and 10
  3. 10 and 11
  4. none of the above
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer

[math]sqrt(56)/4[/math] is between
  1. 0 and 1
  2. 0 and 0.5
  3. 1 and 2
  4. 1 and 1.5
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Which of these is the closest approximation for [math]sqrt3[/math]?
  1. [math]1.7[/math]
  2. [math]1.732[/math]
  3. [math]1.327[/math]
  4. [math]1.3[/math]
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