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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
Estimate the square root of 75.
  1. 8.7
  2. 4.2
  3. 7.4
  4. 9.5
Grade 8 Radicals CCSS: 8.NS.A.2
[math]sqrt 130[/math]
Grade 8 Radicals CCSS: 8.NS.A.2
[math]sqrt 260[/math]
Grade 8 Radicals CCSS: 8.NS.A.2
[math]sqrt 2.57[/math]
Grade 8 Radicals CCSS: 8.NS.A.2
[math]1 / sqrt83.2[/math]
Grade 8 Radicals CCSS: 8.NS.A.2
The [math]sqrt(45)[/math] is between which two whole numbers?
  1. 3 and 4
  2. 4 and 5
  3. 5 and 6
  4. 6 and 7
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
[math]pi >= 4[/math]
  1. True
  2. False
Grade 8 Radicals CCSS: 8.NS.A.2
Between which two numbers does [math]sqrt5[/math] fall?
  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.2
[math]pi<3[/math]
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
The value of [math]sqrt99[/math] falls between 9 and 10.
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
The value of [math]sqrt2[/math] falls between 2.4 and 2.5.
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

[math]sqrt(84)[/math] is between which two numbers?
  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
Choose the best answer.

[math]sqrt(39)[/math] is between which two numbers?
  1. 9 and 10
  2. 8 and 9
  3. 7 and 8
  4. 6 and 7
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.2
Choose the best answer.

[math]sqrt(20)[/math] is between which two numbers?
  1. 2 and 3
  2. 3 and 4
  3. 4 and 5
  4. 5 and 6
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