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

7.36 Rational number sets and classification Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.36 Rational number sets and classification. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.36 Rational number sets and classification - In multiple-choice items, students select the correct classification of a number and the diagram that correctly shows subset relationships. (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(A); 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 7.36 Rational number sets and classification skill assessments:

Problem 1Difficulty: Mastery
A digital practice item asks for the classification of -36/12. Which answer should be accepted?
AInteger but not whole number, because the value is -3
BNatural number, because 36 divided by 12 is 3
CWhole number, because the denominator divides the numerator
DRational but not integer, because it is written as a fraction
Solution & Explanation:The value -36/12 equals -3. Since -3 is a negative integer, it is an integer but not a whole number.
Problem 2Difficulty: Mastery
Which option correctly combines the classification of 11/2 with the full hierarchy?
A11/2 is rational but not integer; natural is inside whole, whole inside integer, integer inside rational
B11/2 is natural; rational is inside integer, integer inside whole, whole inside natural
C11/2 is whole; natural, whole, integer, and rational are separate non-overlapping sets
D11/2 is integer; whole numbers are outside rational numbers
Solution & Explanation:The value 11/2 is 5.5, so it is rational but not an integer. The correct hierarchy is natural inside whole inside integer inside rational.
Problem 3Difficulty: Mastery
Using natural numbers as counting numbers, which statement about 0 in the subset diagram is correct?
A0 is inside whole, integer, and rational, but outside natural
B0 is inside natural only
C0 is outside rational because it has no sign
D0 is inside integer but outside rational
Solution & Explanation:Zero is a whole number, an integer, and a rational number. It is not a counting number in this hierarchy.

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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 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 select the correct classification of a number and the diagram that correctly shows subset relationships. 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(A); VA 7.NS.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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