Free Printable WorksheetMathGrade 8Math Curriculum8.NS.A.3

8.14 Estimating Values of Expressions with Irrational Numbers Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.14 Estimating Values of Expressions with Irrational Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.14 Estimating Values of Expressions with Irrational Numbers - Which estimate or interval best represents the value of the expression containing irrational numbers? (CCSS 8.NS.A.3; CA 8.NS.A.3; MA 8.NS.A.3)

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 8.14 Estimating Values of Expressions with Irrational Numbers skill assessments:

Problem 1Difficulty: Hard
Find the mean of 3*pi - sqrt(12) and (sqrt(17) + sqrt(33) + 1) / 2. Round to the nearest hundredth.
Solution & Explanation:First estimate each value, then average them. The mean is about 5.6973, so the nearest hundredth is 5.70.
Problem 2Difficulty: Hard
True or False: 4*sqrt(3) - pi is between 3.5 and 4.
ATrue
BFalse
Solution & Explanation:4*sqrt(3) - pi is about 3.787, so the statement is true.
Problem 3Difficulty: Hard
Which student gives the better estimate for 2*pi + sqrt(32) - 4? Ava: 7.8. Ben: 8.0.
AAva gave the better estimate.
BBen gave the better estimate.
CBoth students were equally accurate.
DBoth estimates are too far away.
Solution & Explanation:2*pi + sqrt(32) - 4 is about 7.940, so Ben's estimate is closer to the actual value.

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Frequently Asked Questions

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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.NS.A.3 (Primary standard selected for prompt fields: CCSS 8.NS.A.3. Skill statement: Which estimate or interval best represents the value of the expression containing irrational numbers? Associated standards listed with this skill: CCSS 8.NS.A.3; CA 8.NS.A.3; MA 8.NS.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).

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