Kinds of real numbers: rational and irrational

Grade 8 Math Worksheet

NameDate

Circle the best answer.

  1. Esme sorts number cards before a game. What is the smallest group that holds √81?

    • rational numbers
    • whole numbers
    • irrational numbers
    • integers
  2. Jun gets a card with a minus sign in front of a root. What is the smallest group that holds −√64?

    • irrational numbers
    • rational numbers
    • integers
    • whole numbers
  3. Kira draws √45 from a pile of cards. What is the smallest group that holds √45?

    • irrational numbers
    • rational numbers
    • integers
    • whole numbers
  4. Read this first

    Use this

    Number line from 0 to 5, ticks every 1. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  5. Luz traces a circle and wonders about the number π. What is the smallest group that holds π?

    • irrational numbers
    • integers
    • whole numbers
    • rational numbers
  6. Noah's square window has an area of 10 square feet, so each side is √10 feet long. What is the smallest group that holds the side length?

    • rational numbers
    • whole numbers
    • integers
    • irrational numbers
  7. Pia's square sticky note has an area of 25 square centimeters, so each side is √25 cm long. What is the smallest group that holds the side length?

    • rational numbers
    • integers
    • irrational numbers
    • whole numbers
  8. Zee sorts four number cards into two piles. Which of these numbers is irrational?

    • √26
    • √169
    • 0.3636…
    • 3.14
  9. Ari finds four numbers in a puzzle book. Which of these numbers is irrational?

    • √60
    • 7/9
    • −√100
    • 0.1666…
  10. Bo marks four points on a number line for a poster. Which point is an irrational number?

    • Point D
    • Point C
    • Point B
    • Point A
  11. Jun labels four points on a number line. Which point is an irrational number?

    • Point C
    • Point A
    • Point B
    • Point D
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Kinds of real numbers: rational and irrational

Answer Key - Grade 8 Math Worksheet

Circle the best answer.

  1. Esme sorts number cards before a game. What is the smallest group that holds √81?

    • rational numbers
    • whole numbers
    • irrational numbers
    • integers
  2. Jun gets a card with a minus sign in front of a root. What is the smallest group that holds −√64?

    • irrational numbers
    • rational numbers
    • integers
    • whole numbers
  3. Kira draws √45 from a pile of cards. What is the smallest group that holds √45?

    • irrational numbers
    • rational numbers
    • integers
    • whole numbers
  4. Read this first

    Use this

    Number line from 0 to 5, ticks every 1. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  5. Luz traces a circle and wonders about the number π. What is the smallest group that holds π?

    • irrational numbers
    • integers
    • whole numbers
    • rational numbers
  6. Noah's square window has an area of 10 square feet, so each side is √10 feet long. What is the smallest group that holds the side length?

    • rational numbers
    • whole numbers
    • integers
    • irrational numbers
  7. Pia's square sticky note has an area of 25 square centimeters, so each side is √25 cm long. What is the smallest group that holds the side length?

    • rational numbers
    • integers
    • irrational numbers
    • whole numbers
  8. Zee sorts four number cards into two piles. Which of these numbers is irrational?

    • √26
    • √169
    • 0.3636…
    • 3.14
  9. Ari finds four numbers in a puzzle book. Which of these numbers is irrational?

    • √60
    • 7/9
    • −√100
    • 0.1666…
  10. Bo marks four points on a number line for a poster. Which point is an irrational number?

    • Point D
    • Point C
    • Point B
    • Point A
  11. Jun labels four points on a number line. Which point is an irrational number?

    • Point C
    • Point A
    • Point B
    • Point D