Estimate and place square roots and pi on a number line

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

2. 1.

   Luz rounds √44 to the nearest whole number. Which whole number is √44 closer to?

   • 7
   • 6.5
   • 6
3. 2.

   Milo estimates √72 for a science report. Which whole number is √72 closer to?

   Use the picture in question 1.

   • 8
   • 9
   • 8.5
4. 3.

   Noah rounds √125 to a whole number. Which whole number is √125 closer to?

   Use the picture in question 1.

   • 11
   • 11.5
   • 12
5. 4.

   Pia checks √95 on a calculator screen. Which whole number is √95 closer to?

   Use the picture in question 1.

   • 9.5
   • 10
   • 9
6. 5.

   Zee finds √27 for a robot's path. What is √27 to the nearest tenth?

   5.2
7. 6.

   Esme labels four points on a number line. Which point is closest to √47?

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

8. Read this first

   Use this

   Number line with a tick at every whole number. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers. Squares to try: 5 × 5 = 25 and 6 × 6 = 36.

9. 7.

   Jun adds 1 to a square root on a calculator. Between which two whole numbers is 1 + √30?

   • 5 and 6
   • 6 and 7
   • 7 and 8
10. 8.

    Kira subtracts a root from 9 on a worksheet. Between which two whole numbers is 9 − √45?

    • 6 and 7
    • 15 and 16
    • 1 and 2
    • 2 and 3
11. 9.

    Luz subtracts a root from 12 in a puzzle. Between which two whole numbers is 12 − √70?

    • 8 and 9
    • 2 and 3
    • 3 and 4
    • 20 and 21
12. 10.

    Milo traces a plate and adds 2 to the number π. Between which two whole numbers is π + 2?

    • 6 and 7
    • 2 and 3
    • 3 and 4
    • 5 and 6