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.

   Luz compares a root with a percent on a card. Which is greater, √8 or 270%?

   Use the picture in question 1.

   • √8 is greater.
   • 270% 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.

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

   Noah compares two negative numbers on a number line. Which is greater, −√28 or −5.2?

   Use the picture in question 1.

   • −5.2 is greater.
   • −√28 is greater.
   • They are equal.

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.

   Esme compares two square posters. Poster A has an area of 55 square inches. Poster B has sides of 7.5 inches. Which poster has the longer side?

   • Poster A has the longer side.
   • The sides are the same.
   • Poster B has the longer side.
9. 6.

   Jun traces a circle and compares π with a short decimal. Which is greater, π or 3.14?

   • They are equal.
   • π is greater.
   • 3.14 is greater.
10. 7.

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

    Use the picture in question 6.

    • 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 6.

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

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

    • 6, 5.9, √35
    • √35, 6, 5.9
    • 5.9, √35, 6
    • 6, √35, 5.9
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