PencilGo

Grade 8 · Math

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

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Estimate and place square roots and pi on a number line

Grade 8 Math Worksheet

NameDate

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

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

    • 7
    • 6.5
    • 6
  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
  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
  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
  5. Zee finds √27 for a robot's path. What is √27 to the nearest tenth?

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

    • Point B
    • Point D
    • Point A
    • Point C
  7. 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.

  8. 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
  9. 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
  10. 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
  11. 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
PencilGopencilgo.com

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

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records