Compare and order real numbers

Grade 8 Math Worksheet

NameDate

Circle the best answer.

  1. Jun compares a root with a fraction. Which is greater, √10 or 13/4?

    • 13/4 is greater.
    • √10 is greater.
    • They are equal.
  2. Kira compares a root with a percent. Which is greater, √17 or 400%?

    Use the picture in question 1.

    • 400% is greater.
    • √17 is greater.
    • They are equal.
  3. Milo compares two negative numbers. Which is greater, −√12 or −3.6?

    Use the picture in question 1.

    • −√12 is greater.
    • They are equal.
    • −3.6 is greater.
  4. Pia checks a big root against a decimal. Which is greater, √90 or 9.4?

    Use the picture in question 1.

    • They are equal.
    • 9.4 is greater.
    • √90 is greater.
  5. Zee writes a comparison for a puzzle. Which statement is true?

    Use the picture in question 1.

    • √77 < 8.8
    • √77 > 8.8
    • √77 = 8.8
  6. Read this first

    Use this

    Sketch of two squares. Number line with a tick at every tenth. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  7. Bo compares two square windows. Window A has an area of 14 square feet. Window B has sides of 3.7 feet. Which window has the longer side?

    • Window A has the longer side.
    • Window B has the longer side.
    • The sides are the same.
  8. Jun traces a circle and compares π with a short decimal. Which is greater, π or 3.14?

    • 3.14 is greater.
    • They are equal.
    • π is greater.
  9. Use this

    Number line with a tick at every hundredth. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  10. Noah ranks three numbers for a game. Which list is in order from greatest to least?

    • 6, √35, 5.9
    • 6, 5.9, √35
    • √35, 6, 5.9
    • 5.9, √35, 6
  11. Pia orders three cards, one with π. Which list is in order from least to greatest?

    • 3 1/6, π, 3.1
    • 3.1, 3 1/6, π
    • 3.1, π, 3 1/6
  12. Ren sorts three number cards. Which list is in order from least to greatest?

    • 225%, √5, 2 1/5
    • 2 1/5, √5, 225%
    • 2 1/5, 225%, √5
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Compare and order real numbers

Answer Key - Grade 8 Math Worksheet

Circle the best answer.

  1. Jun compares a root with a fraction. Which is greater, √10 or 13/4?

    • 13/4 is greater.
    • √10 is greater.
    • They are equal.
  2. Kira compares a root with a percent. Which is greater, √17 or 400%?

    Use the picture in question 1.

    • 400% is greater.
    • √17 is greater.
    • They are equal.
  3. Milo compares two negative numbers. Which is greater, −√12 or −3.6?

    Use the picture in question 1.

    • −√12 is greater.
    • They are equal.
    • −3.6 is greater.
  4. Pia checks a big root against a decimal. Which is greater, √90 or 9.4?

    Use the picture in question 1.

    • They are equal.
    • 9.4 is greater.
    • √90 is greater.
  5. Zee writes a comparison for a puzzle. Which statement is true?

    Use the picture in question 1.

    • √77 < 8.8
    • √77 > 8.8
    • √77 = 8.8
  6. Read this first

    Use this

    Sketch of two squares. Number line with a tick at every tenth. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  7. Bo compares two square windows. Window A has an area of 14 square feet. Window B has sides of 3.7 feet. Which window has the longer side?

    • Window A has the longer side.
    • Window B has the longer side.
    • The sides are the same.
  8. Jun traces a circle and compares π with a short decimal. Which is greater, π or 3.14?

    • 3.14 is greater.
    • They are equal.
    • π is greater.
  9. Use this

    Number line with a tick at every hundredth. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  10. Noah ranks three numbers for a game. Which list is in order from greatest to least?

    • 6, √35, 5.9
    • 6, 5.9, √35
    • √35, 6, 5.9
    • 5.9, √35, 6
  11. Pia orders three cards, one with π. Which list is in order from least to greatest?

    • 3 1/6, π, 3.1
    • 3.1, 3 1/6, π
    • 3.1, π, 3 1/6
  12. Ren sorts three number cards. Which list is in order from least to greatest?

    • 225%, √5, 2 1/5
    • 2 1/5, √5, 225%
    • 2 1/5, 225%, √5