Free Printable WorksheetMathGrade 6Math Curriculum6.50

6.50 Compare and Order Rational Numbers, Including Negative Numbers Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.50 Compare and Order Rational Numbers, Including Negative Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly orders the given rational numbers from least to greatest (or greatest to least)? (CCSS 6.NS.C.5-7; CA 6.NS.C.5-7; MA 6.NS.C.5-7; NY NY-6.NS.5-7; TX 19 TAC §111.26(b)(2)(B)-(D); FL MA.6.NSO.1.1-1.4; VA 6.NS.2a-d)

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 6

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 6.50 Compare and Order Rational Numbers, Including Negative Numbers skill assessments:

Problem 1Difficulty: Mastery

Data set Q100: A weather station recorded these temperatures (°C): -6.545, -7.188, -2 79⁄100, 5.50, 6.43, -3 1⁄3. Which choice orders them from least to greatest?

A-7.188 < -6.545 < -2 79⁄100 < -3 1⁄3 < 5.50 < 6.43

B-7.188 < -6.545 < -3 1⁄3 < -2 79⁄100 < 5.50 < 6.43

C6.43 < 5.50 < -2 79⁄100 < -3 1⁄3 < -6.545 < -7.188

D-6.545 < -7.188 < -3 1⁄3 < -2 79⁄100 < 5.50 < 6.43

Solution & Explanation:Compare the values (one way is to convert to decimals): -6.545 = -6.5455; -7.188 = -7.1875; -2 79⁄100 = -2.79; 5.50 = 5.5; 6.43 = 6.4286; -3 1⁄3 = -3.3333. More negative numbers are smaller. So the correct increasing order is -7.188 < -6.545 < -3 1⁄3 < -2 79⁄100 < 5.50 < 6.43.

Problem 2Difficulty: Mastery

Data set Q099: A ship’s draft changes (m) were listed as: -19⁄11, -2.600, -6.111, -0.460, -13.769, 11. Which option lists the numbers in decreasing order (greatest to least)?

A11 > -0.460 > -2.600 > -19⁄11 > -6.111 > -13.769

B-0.460 > 11 > -19⁄11 > -2.600 > -6.111 > -13.769

C-13.769 > -6.111 > -2.600 > -19⁄11 > -0.460 > 11

D11 > -0.460 > -19⁄11 > -2.600 > -6.111 > -13.769

Solution & Explanation:Compare the values (one way is to convert to decimals): -19⁄11 = -1.7273; -2.600 = -2.6; -6.111 = -6.1111; -0.460 = -0.46; -13.769 = -13.7692; 11 = 11. Larger numbers come first. So the correct decreasing order is 11 > -0.460 > -19⁄11 > -2.600 > -6.111 > -13.769.

Problem 3Difficulty: Mastery

Data set Q098: A sensor recorded these voltage changes (V): 3.667, -5.562, 11.429, -5.923, 9.389, -9.44. Which choice orders them from greatest to least?

A-9.44 > -5.923 > -5.562 > 3.667 > 9.389 > 11.429

B9.389 > 11.429 > 3.667 > -5.562 > -5.923 > -9.44

C11.429 > 9.389 > -5.562 > 3.667 > -5.923 > -9.44

D11.429 > 9.389 > 3.667 > -5.562 > -5.923 > -9.44

Solution & Explanation:Compare the values (one way is to convert to decimals): 3.667 = 3.6667; -5.562 = -5.5625; 11.429 = 11.4286; -5.923 = -5.9231; 9.389 = 9.3889; -9.44 = -9.44. Larger numbers come first. So the correct decreasing order is 11.429 > 9.389 > 3.667 > -5.562 > -5.923 > -9.44.

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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 6 Math students. It aligns with educational standard 6.50 (Compare and Order Rational Numbers, Including Negative Numbers).