Free Printable WorksheetMathGrade 8Math Curriculum8.NS.A.1

8.1 Classifying Real 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 8.1 Classifying Real Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.1 Classifying Real Numbers - Which classification (natural, whole, integer, rational, or irrational) correctly describes the given number? (CCSS 8.NS.A.1; CA 8.NS.A.1; MA 8.NS.A.1)

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 8.1 Classifying Real Numbers skill assessments:

Problem 1Difficulty: Hard
The exact value of sqrt(22) is used in a problem. Which set most specifically contains that value?
ARational
BNatural
CIrrational
DInteger
Solution & Explanation:22 is not a perfect square, so sqrt(22) is irrational.
Problem 2Difficulty: Hard
A decimal is written as 0.11011101111011111... with blocks of 1s that keep getting longer. Which classification is most specific?
ANatural
BWhole
CRational
DIrrational
Solution & Explanation:Because the blocks keep changing length, the decimal does not repeat a fixed pattern. A nonterminating, nonrepeating decimal is irrational.
Problem 3Difficulty: Hard
Which set best describes sqrt(48)/4?
AIrrational
BInteger
CWhole
DNatural
Solution & Explanation:sqrt(48) = 4sqrt(3), so sqrt(48)/4 = sqrt(3). Because 3 is not a perfect square, sqrt(3) is irrational.

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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.1 (Primary standard selected for prompt fields: CCSS 8.NS.A.1. Skill statement: Which classification (natural, whole, integer, rational, or irrational) correctly describes the given number? Associated standards listed with this skill: CCSS 8.NS.A.1; CA 8.NS.A.1; MA 8.NS.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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