karencooper1987
karencooper1987 1d ago โ€ข 0 views

8th Grade Real Number System Review Questions with Answers

Hey there! ๐Ÿ‘‹ Getting ready for your 8th-grade math test on the Real Number System? No sweat! This quick guide and quiz will help you ace it. Let's dive in! ๐Ÿงฎ
๐Ÿงฎ Mathematics

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alexis427 Dec 27, 2025

๐Ÿ“š Quick Study Guide

  • ๐Ÿ”ข Real Numbers: Include all rational and irrational numbers.
  • โž• Rational Numbers: Can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. This includes integers, fractions, terminating decimals, and repeating decimals.
  • โ™พ๏ธ Irrational Numbers: Cannot be expressed as a fraction. Their decimal representations are non-terminating and non-repeating (e.g., $\pi$, $\sqrt{2}$).
  • ๐Ÿ“ Integers: Whole numbers and their negatives (e.g., -3, -2, -1, 0, 1, 2, 3).
  • ๐Ÿ’ฏ Whole Numbers: Non-negative integers (e.g., 0, 1, 2, 3...).
  • ๐ŸŒฑ Natural Numbers: Positive integers (e.g., 1, 2, 3...).
  • ๐Ÿงฎ Key Properties:
    • Commutative Property: $a + b = b + a$ and $a \cdot b = b \cdot a$
    • Associative Property: $(a + b) + c = a + (b + c)$ and $(a \cdot b) \cdot c = a \cdot (b \cdot c)$
    • Distributive Property: $a \cdot (b + c) = a \cdot b + a \cdot c$

๐Ÿ“ Practice Quiz

  1. What type of number is $\sqrt{9}$?
    1. Irrational
    2. Rational
    3. Imaginary
    4. Transcendental
  2. Which of the following is an irrational number?
    1. $\frac{1}{3}$
    2. 0.25
    3. $\sqrt{5}$
    4. -7
  3. Which property is demonstrated by the equation $3 + 5 = 5 + 3$?
    1. Associative Property of Addition
    2. Commutative Property of Addition
    3. Distributive Property
    4. Identity Property of Addition
  4. Which set of numbers does $\frac{4}{0}$ belong to?
    1. Rational Numbers
    2. Integers
    3. Real Numbers
    4. Undefined
  5. What is the decimal representation of $\frac{2}{3}$?
    1. 0.6
    2. 0.67
    3. 0.$\overline{6}$
    4. 0.7
  6. Which of the following is an integer but not a whole number?
    1. 0
    2. 5
    3. -3
    4. $\frac{1}{2}$
  7. Which property justifies the statement $2(x + 3) = 2x + 6$?
    1. Commutative Property of Multiplication
    2. Associative Property of Multiplication
    3. Distributive Property
    4. Identity Property of Multiplication
Click to see Answers
  1. B
  2. C
  3. B
  4. D
  5. C
  6. C
  7. C

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