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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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

Grade 8 Math Worksheet - Challenge Me

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

  1. Esme has a cube-shaped eraser with a volume of 12 cubic centimeters. What is its edge to the nearest tenth of a centimeter?

  2. Jun cuts a cube-shaped foam block with a volume of 59 cubic centimeters. What is its edge to the nearest tenth of a centimeter?

  3. Kira wraps a cube-shaped gift box with a volume of 84 cubic inches, and a bow is waiting. What is its edge to the nearest tenth of an inch?

  4. Milo plots ∛(−25) in a notebook. A negative number cubed stays negative. What is ∛(−25) to the nearest tenth?

  5. Noah checks ∛(−46) for a puzzle. What is ∛(−46) to the nearest tenth?

  6. Ren wonders whether ∛50 is more or less than 3.7. Which statement is true?

    • ∛50 is less than 3.7
    • ∛50 equals 3.7
    • ∛50 is greater than 3.7
  7. Tala tests ∛65 against 4.1 for a game. Which statement is true?

    • ∛65 equals 4.1
    • ∛65 is greater than 4.1
    • ∛65 is less than 4.1
  8. Esme places ∛400 on a poster number line. Between which two whole numbers is ∛400?

    • 20 and 21
    • 8 and 9
    • 6 and 7
    • 7 and 8
  9. Jun imagines a giant block cube with a volume of 600 cubic inches, so its edge is ∛600. Between which two whole numbers is ∛600?

    • 8 and 9
    • 9 and 10
    • 7 and 8
    • 24 and 25
  10. Kira adds ∛900 to a number line (the poster is getting long). Between which two whole numbers is ∛900?

    • 8 and 9
    • 30 and 31
    • 9 and 10
    • 10 and 11
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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

See all grade 8 math

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