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8th grade Estimate and place square roots and pi on a number line worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Estimate and place square roots and pi on a number line

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer.

  2. Ari plots √10 on a poster number line. The figure shows the squares around 10. Between which two whole numbers is √10?

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

  3. Esme places √14 on a chalk number line. The figure shows the squares around 14. Between which two whole numbers is √14?

    Use the picture in question 1.

    • 3 and 4
    • 2 and 3
    • 7 and 8
    • 4 and 5

  4. Jun reads √38 on a puzzle card. The figure shows the squares around 38. Between which two whole numbers is √38?

    • 6 and 7
    • 5 and 6
    • 19 and 20
    • 7 and 8

  5. Kira tries to place √55 on a number line. The figure shows the squares around 55. Between which two whole numbers is √55?

    • 27 and 28
    • 8 and 9
    • 6 and 7
    • 7 and 8

  6. 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. Check: 8 × 8 = 64 and 9 × 9 = 81.

  7. Luz finds √67 in a math game. The figure shows the squares around 67. Between which two whole numbers is √67?

    • 9 and 10
    • 33 and 34
    • 7 and 8
    • 8 and 9

  8. Ren checks √19 for a science project. The figure shows how far 19 is from the squares. Which whole number is √19 closer to?

    • 4
    • 5
    • 4.5

  9. Tala places √24 on a poster. The figure shows how far 24 is from the squares. Which whole number is √24 closer to?

    • 4.5
    • 5
    • 4

  10. Zee rounds √11 to the nearest whole number. The figure shows how far 11 is from the squares. Which whole number is √11 closer to?

    • 4
    • 3
    • 3.5

  11. Ari marks √13 on a number line. The figure shows how far 13 is from the squares. Which whole number is √13 closer to?

    • 4
    • 3
    • 3.5

  12. Bo estimates √29 for a game. The figure shows how far 29 is from the squares. Which whole number is √29 closer to?

    • 5
    • 6
    • 5.5
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8th grade Estimate and place square roots and pi on a number line worksheet – printable
Print: 123456

About this worksheet

Estimate and place square roots and pi on a number line. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say which two whole numbers a square root lies between, and which one it is closer to.
  • I can find a square root to the nearest tenth or hundredth by trying decimals and seeing which square is closer.
  • I can place √n, −√n, π and an expression like 1 + √30 on a number line.

Standard: 8.NS.A.2

Words to know

perfect square: A number you get by multiplying a whole number by itself, like 25 = 5 × 5.

square root (√): The number that, multiplied by itself, gives the number under the sign.

estimate: A close guess that you can check, not an exact answer.

nearest tenth: The decimal with one place after the point that is closest to the number.

nearest hundredth: The decimal with two places after the point that is closest to the number.

closer to: Smaller distance away. A number can be closer to one square than the other.

Common mistakes

Your child picked the pair of whole numbers one step too high.

Your child picked the pair of whole numbers one step too low.

Your child halved the number under the root.

What to say

Ask: which two perfect squares is the number between? Their roots are the pair.

Ask: which two perfect squares is the number between? Their roots are the pair.

Ask: what number times itself makes it? Halving does not do that.

Questions parents ask

What is the most common mistake with estimate and place square roots and pi on a number line?

Your child picked the pair of whole numbers one step too high.

How can I help my child with estimate and place square roots and pi on a number line?

Ask: which two perfect squares is the number between? Their roots are the pair.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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