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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 Rational and Irrational Numbers CCSS: 8.NS.A.2
$pi<3$
1. True
2. False
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

$sqrt(84)$ 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

$sqrt(75)$ 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

$sqrt(106)$ 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
$sqrt(67)$ 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

$sqrt(65)/7$ 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

$sqrt(5)$ 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

$sqrt(93)$ 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

$sqrt(56)/4$ 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 $sqrt3$?
1. $1.7$
2. $1.732$
3. $1.327$
4. $1.3$
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