Free Printable WorksheetMathGrade 8Math Curriculum8.EE.A.2

8.11 Approximating Cube Roots Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.11 Approximating Cube Roots. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.11 Approximating Cube Roots - Which estimate best approximates the cube root of the given number? (CCSS 8.EE.A.2; CA 8.EE.A.2; MA 8.EE.A.2)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.11 Approximating Cube Roots skill assessments:

Problem 1Difficulty: Hard
Which statement best justifies that the cube root of 999 rounds to 10.0 to the nearest tenth?
ABecause 9.03 = 729, so 999 rounds to 9.0.
BBecause 10.03 = 1000 and 9.93 = 970.299, so 999 is much closer to 1000.
CBecause 999 is almost 100, so the cube root is about 10.
DBecause 999 divided by 3 is 333, and 333 is near 10.
Solution & Explanation:A nearest-tenth estimate should compare nearby tenths. Since 9.93 = 970.299 and 10.03 = 1000, the number 999 is much closer to 1000, so the cube root rounds to 10.0.
Problem 2Difficulty: Hard
Estimate the cube root of 720 to the nearest tenth.
Solution & Explanation:Since 8.93 = 704.969 and 93 = 729, the cube root of 720 is about 8.963. Rounded to the nearest tenth, it is 9.0.
Problem 3Difficulty: Hard
Which interval is the best place to start when estimating the cube root of 720?
Abetween 7 and 8
Bbetween 8 and 9
Cbetween 9 and 10
Dbetween 10 and 11
Solution & Explanation:Because 83 = 512 and 93 = 729, the cube root of 720 is between 8 and 9. That is the best starting interval.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.EE.A.2 (Primary standard selected for prompt fields: CCSS 8.EE.A.2. Skill statement: Which estimate best approximates the cube root of the given number? Associated standards listed with this skill: CCSS 8.EE.A.2; CA 8.EE.A.2; MA 8.EE.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).

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