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

8.13 Locating Irrational Numbers on a Number Line Worksheet

Download our free printable Grade 8 Math worksheet on 8.13 Locating Irrational Numbers on a Number Line. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Locating Irrational Numbers on a Number Line Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.13 Locating Irrational Numbers on a Number Line. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.13 Locating Irrational Numbers on a Number Line - Which point on the number line best represents the approximate location of the irrational number given? (CCSS 8.NS.A.2; CA 8.NS.A.2; MA 8.NS.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 8.13 Locating Irrational Numbers on a Number Line skill assessments:

Problem 1Difficulty: Hard
The number line is labeled as follows: Point R at 2.91, Point S at 2.92, Point T at 2.93, and Point V at 2.94. Which point is the best approximation of 5 - sqrt(17) / 2?
APoint R (2.91)
BPoint S (2.92)
CPoint T (2.93)
DPoint V (2.94)
Solution & Explanation:sqrt(17) ≈ 4.123, so sqrt(17) / 2 ≈ 2.062. Then 5 - sqrt(17) / 2 ≈ 2.938. Therefore, Point V at 2.94 is the best location.
Problem 2Difficulty: Hard
A student marks a number line with M at 3.06; N at 3.07; P at 3.08; and Q at 3.09. Which point should be used for sqrt(68) / 4 + 1?
APoint M (3.06)
BPoint N (3.07)
CPoint P (3.08)
DPoint Q (3.09)
Solution & Explanation:sqrt(68) ≈ 8.246, so sqrt(68) / 4 ≈ 2.062. Then sqrt(68) / 4 + 1 ≈ 3.062. That places the number nearest 3.06, so choose Point M.
Problem 3Difficulty: Hard
On a number line, the labeled points are Point H = 4.85, Point J = 4.86, Point K = 4.87, and Point L = 4.88. Which labeled point is closest to 2 * pi - sqrt(2)?
APoint H (4.85)
BPoint J (4.86)
CPoint K (4.87)
DPoint L (4.88)
Solution & Explanation:2 * pi ≈ 6.283 and sqrt(2) ≈ 1.414, so the difference is about 4.869. The nearest point is 4.87, which is Point K.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 8.13 Locating Irrational Numbers on a Number Line worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 8.13 Locating Irrational Numbers on a Number Line worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 8.13 Locating Irrational Numbers on a Number Line online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 8.13 Locating Irrational Numbers on a Number Line interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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.2 (Primary standard selected for prompt fields: CCSS 8.NS.A.2. Skill statement: Which point on the number line best represents the approximate location of the irrational number given? Associated standards listed with this skill: CCSS 8.NS.A.2; CA 8.NS.A.2; MA 8.NS.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).

Related Grade 8 Math Resources

Continue learning with complementary skill worksheets and online practice