Compare and order real numbers

Grade 8 Math Worksheet

Circle the best answer.

2. 1.

   Bo compares a root with a decimal on a quiz. Which is greater, √40 or 6.4?

   • They are equal.
   • 6.4 is greater.
   • √40 is greater.
3. 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.
4. 3.

   Milo compares two negative numbers. Which is greater, −√12 or −3.6?

   Use the picture in question 1.

   • −3.6 is greater.
   • −√12 is greater.
   • They are equal.
5. 4.

   Tala checks a comparison from a worksheet. Which statement is true?

   Use the picture in question 1.

   • √33 = 5.8
   • √33 > 5.8
   • √33 < 5.8

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. 5.

   Ari compares two square gardens. Garden A has an area of 42 square feet. Garden B has sides of 6.6 feet. Which garden has the longer side?

   • Garden A has the longer side.
   • Garden B has the longer side.
   • The sides are the same.
8. 6.

   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.
   • The sides are the same.
   • Window B has the longer side.
10. 7.

    Kira compares π with a fraction people use for it. Which is greater, π or 22/7?

    • π is greater.
    • They are equal.
    • 22/7 is greater.
11. 8.

    Luz compares π with a rounded decimal. Which is greater, π or 3.1416?

    Use the picture in question 7.

    • They are equal.
    • π is greater.
    • 3.1416 is greater.

12. 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.

13. 9.

    Milo lines up three cards. Which list is in order from least to greatest?

    • 4 2/5, √20, 4.5
    • 4.5, √20, 4 2/5
    • 4 2/5, 4.5, √20
14. 10.

    Pia orders three cards, one with π. Which list is in order from least to greatest?

    • 3.1, 3 1/6, π
    • 3 1/6, π, 3.1
    • 3.1, π, 3 1/6