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

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

Grade 8 Math Worksheet

NameDate

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

  1. Ari measures a cube-shaped eraser block whose volume is 60 cubic centimeters. Between which two whole numbers is the edge, ∛60?

    • 3 and 4
    • 7 and 8
    • 4 and 5
    • 2 and 3
  2. Esme plots ∛200 on a poster number line. Between which two whole numbers is ∛200?

    • 6 and 7
    • 4 and 5
    • 5 and 6
    • 14 and 15
  3. Jun places ∛18 on a number line for a quiz. Which whole number is ∛18 closer to?

    • 3
    • 2
    • 2.5
  4. Milo guesses ∛33 for a puzzle (the pencil is nervous). Which whole number is ∛33 closer to?

    • 3.5
    • 4
    • 3
  5. Noah needs ∛24 for a model. What is ∛24 to the nearest tenth?

  6. Pia builds a toy-block cube from 39 blocks (and one block is shy), so its edge is ∛39. What is ∛39 to the nearest tenth?

  7. Ren finds a cube-shaped box with a volume of 54 cubic inches, so its edge is ∛54. What is ∛54 to the nearest tenth?

  8. Zee marks four points on a poster number line. Which point is closest to ∛42?

    • Point A
    • Point B
    • Point D
    • Point C
  9. Ari plots four points on a number line for a quiz. Which point is closest to ∛73?

    • Point D
    • Point B
    • Point C
    • Point A
  10. Bo sticks four labeled dots on a number line. Which point is closest to ∛30?

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