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Common Core Standard 8.NS.A.1 Questions

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

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Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
The number 0.6 is a(n)                 number.
  1. rational
  2. irrational
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
12.4444444444....
  1. Rational
  2. Irrational
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Square root of 225
  1. Rational
  2. Irrational
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. 2199
  2. √100
  3. √363
  4. 294
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Choose the number that is irrational.
  1. √123
  2. 8841
  3. √49
  4. 2369
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of the following can NOT be classified as a rational number?
  1. Integers
  2. A decimal number that continues on forever with no pattern
  3. A square root that has finite decimal places
  4. Fractions
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of the following best describes -√3?
  1. whole and irrational
  2. whole and rational
  3. real and irrational
  4. real and rational
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which number is irrational?
  1. 3.7
  2. 1/4
  3. .25
  4. 1.23124125126127...
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of these numbers is not irrational?
  1. √29
  2. √15
  3. √43
  4. 7√4
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Identify the set of numbers that best describes the situation.

the cost of an item at a store
  1. rational numbers
  2. whole numbers
  3. integers
  4. irrational numbers
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Identify the set of numbers that best describes the situation.

the surface area of a sphere where the radius is a rational number
  1. rational numbers
  2. whole numbers
  3. integers
  4. irrational numbers
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
Which of the following fractions most closely approximates the value of π?
  1. 721
  2. 722
  3. 217
  4. 227
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
All real numbers are rational.
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
All rational numbers are real.
  1. True
  2. False
Grade 8 Rational and Irrational Numbers CCSS: 8.NS.A.1
π and 2.789625343... are examples of 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
Irrational numbers include natural numbers, whole numbers, and integers.
  1. True
  2. False
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