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8th grade Estimate a cube root between whole numbers and to the nearest tenth worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Estimate a cube root between whole numbers and to the nearest tenth

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer.

  1. Ari has to place ∛17 for a poster game. The figure lists the cubes of 1 to 5. Between which two whole numbers is ∛17?

    • 3 and 4
    • 1 and 2
    • 4 and 5
    • 2 and 3
  2. Bo sketches ∛35 on a poster. The figure lists the cubes of 1 to 5. Between which two whole numbers is ∛35?

    Use the picture in question 1.

    • 3 and 4
    • 5 and 6
    • 2 and 3
    • 4 and 5
  3. Esme's block tower game uses ∛100. The figure lists the cubes of 1 to 6. Between which two whole numbers is ∛100?

    • 3 and 4
    • 4 and 5
    • 5 and 6
    • 10 and 11
  4. Jun builds a toy-block cube with a volume of 70 cubes, so its edge is ∛70. The figure lists the cubes of 1 to 6. Between which two whole numbers is ∛70?

    Use the picture in question 3.

    • 8 and 9
    • 5 and 6
    • 4 and 5
    • 3 and 4
  5. Luz writes ∛40 on a puzzle card. The figure lists the cubes of 1 to 5. Between which two whole numbers is ∛40?

    • 3 and 4
    • 6 and 7
    • 4 and 5
    • 2 and 3
  6. Milo is plotting ∛13 for a poster number line. The figure gives the halfway test. Which whole number is ∛13 closer to?

    • 2.5
    • 2
    • 3
  7. Noah marks ∛22 on a number line (and the pencil nods). The figure gives the halfway test. Which whole number is ∛22 closer to?

    Use the picture in question 6.

    • 3
    • 2.5
    • 2
  8. Read this first

    Strips of three equal squares

    3 × 3 × 3 = 27 and 4 × 4 × 4 = 64. Halfway test: 3.5 × 3.5 × 3.5 = 42.875.

  9. Pia builds a toy-block cube from 45 blocks, so its edge is ∛45. The figure gives the halfway test. Which whole number is ∛45 closer to?

    • 3.5
    • 4
    • 3
  10. Tala packs a cube-shaped box that holds 80 cubic inches, so its edge is ∛80. The figure gives the halfway test. Which whole number is ∛80 closer to?

    • 4.5
    • 4
    • 5
  11. Zee plots ∛110 for a poster. The figure gives the halfway test. Which whole number is ∛110 closer to?

    Use the picture in question 9.

    • 4.5
    • 4
    • 5
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8th grade Estimate a cube root between whole numbers and to the nearest tenth worksheet – printable
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About this worksheet

Estimate a cube root between two whole numbers and to the nearest tenth. 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 ∛n lies between, using the cubes 1, 8, 27, 64, 125 and so on.
  • I can tell which whole number ∛n is closer to by cubing the halfway number (2.5 × 2.5 × 2.5 = 15.625).
  • I can find ∛n to the nearest tenth, also for a negative n, and compare ∛n with a decimal.

Standard: 8.NS.A.2 (a cube root of a non-cube is irrational: locate and estimate it), 8.EE.A.2 (perfect cubes, the starting point)

Words to know

cube root ∛: The number that, used as a factor three times, makes the number: ∛27 = 3.

perfect cube: A whole number times itself three times: 64 = 4 × 4 × 4.

strip: A row of equal squares, each holding the same number, multiplied together.

halfway number: The number halfway between two whole numbers, such as 2.5 between 2 and 3.

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

edge: The length of one side of a cube. Volume = edge × edge × edge.

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 used the square root instead of the cube root.

What to say

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

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

Ask: which number times itself three times makes it? A square root only uses two factors.

Questions parents ask

What is the most common mistake with estimate a cube root between whole numbers and to the nearest tenth?

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

How can I help my child with estimate a cube root between whole numbers and to the nearest tenth?

Ask: which two cubes 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

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