Free Printable WorksheetMathGrade 7Math Curriculum7.NS.A.1

7.38 Comparing and ordering rational numbers Worksheet

Download our free printable Grade 7 Math worksheet on 7.38 Comparing and ordering rational numbers. 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

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Comparing and ordering rational numbers Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.38 Comparing and ordering rational numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.38 Comparing and ordering rational numbers - In multiple-choice items, students choose the correct ordering of rational numbers and the reasoning (such as number line position or common denominators) that supports it. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.1.2; TX 7.2(C); VA 7.NS.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 7

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 7.38 Comparing and ordering rational numbers skill assessments:

Problem 1Difficulty: Mastery

Use the zoomed number line shown for 3 1/3, 3.34, 3.3, 3.333, and 3 2/7. Which choice orders the values from greatest to least and explains the order?

A3 2/7 > 3.3 > 3.333 > 3 1/3 > 3.34; because the largest absolute value is always the greatest number.

B3.34 > 3 1/3 > 3.333 > 3.3 > 3 2/7; because values farther right on the number line are greater.

C3 1/3 > 3.34 > 3.3 > 3.333 > 3 2/7; because decimals should be ordered only by how many digits they have.

D3 1/3 > 3.34 > 3.333 > 3.3 > 3 2/7; because values with more digits are always greater.

Solution & Explanation:On a number line, values farther right are greater. The greatest to least order is 3.34 > 3 1/3 > 3.333 > 3.3 > 3 2/7.

Problem 2Difficulty: Mastery

Compare the nearby negative rational numbers -6/13, -0.46, -0.465, -7/15, and -0.455. Which choice orders them from least to greatest and gives the right reason?

A-0.455 < -0.46 < -6/13 < -0.465 < -7/15; because values farther left on a number line are greater.

B-6/13 < -0.46 < -0.465 < -7/15 < -0.455; because the largest absolute value is always the greatest number.

C-7/15 < -0.465 < -6/13 < -0.46 < -0.455; because among negatives, the value farther from zero is smaller.

D-0.465 < -7/15 < -6/13 < -0.46 < -0.455; because decimals should be ordered only by how many digits they have.

Solution & Explanation:For negative numbers, moving left makes the value smaller and moving right moves closer to zero. The least to greatest order is -7/15 < -0.465 < -6/13 < -0.46 < -0.455.

Problem 3Difficulty: Mastery

A quiz report includes 11/25, 0.439, 44.5%, 0.444, and 4/9. Which choice orders the values from greatest to least and explains the equivalent forms?

A0.439 > 11/25 > 0.444 > 4/9 > 44.5%; because signs can be ignored when ordering rational numbers.

B11/25 > 0.439 > 44.5% > 0.444 > 4/9; because values farther left on a number line are greater.

C4/9 > 44.5% > 0.444 > 11/25 > 0.439; because the largest absolute value is always the greatest number.

D44.5% > 4/9 > 0.444 > 11/25 > 0.439; because converting the rational numbers to comparable forms shows the order.

Solution & Explanation:Convert fractions, decimals, percents, or mixed numbers to comparable forms. The greatest to least order is 44.5% > 4/9 > 0.444 > 11/25 > 0.439.

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 7.38 Comparing and ordering rational numbers 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 7.38 Comparing and ordering rational numbers 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 7.38 Comparing and ordering rational numbers online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.38 Comparing and ordering rational numbers 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 7 Math students. It aligns with educational standard 7.NS.A.1 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.NS.A.1. Skill statement in this prompt cell: In multiple-choice items, students choose the correct ordering of rational numbers and the reasoning (such as number line position or common denominators) that supports it. Associated standards listed with this skill in this prompt cell: CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.1.2; TX 7.2(C); VA 7.NS.2. Use this prompt-provided wording as the supporting standard description for this workflow.).