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

7.62 Integer chips and zero pairs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.62 Integer chips and zero pairs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.62 Integer chips and zero pairs - In multiple-choice items, students choose the chip model that matches an integer operation and select the resulting value. (CCSS 7.NS.A.1; FL MA.7.NSO.2.2; TX 7.3; VA 7.CE.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 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 7.62 Integer chips and zero pairs skill assessments:

Problem 1Difficulty: Mastery

Which chip model accurately shows the final value of (-23) - (-31)?

AStart with 23 negative chips; add 31 zero pairs so enough positive chips can be removed; remove 31 positive chips; 54 negative chips remain; value -54.

BStart with 23 positive chips; add 31 zero pairs so enough negative chips can be removed; remove 31 negative chips; 54 positive chips remain; value +54.

CStart with 23 negative chips; add 8 zero pairs so enough negative chips can be removed; remove 31 negative chips; 8 positive chips remain; value +8.

DStart with 31 negative chips; no zero pairs need to be added; remove 23 negative chips; 8 negative chips remain; value -8.

Solution & Explanation:For (-23) - (-31), start with 23 negative chips and subtract by removing 31 negative chips. Add 8 zero pairs because the starting model does not have enough negative chips to remove. After the removal, 8 positive chips remain, so the result is +8.

Problem 2Difficulty: Mastery

A model for (+24) - (-14) must remove negative chips after adding zero pairs. Which choice is correct?

AStart with 24 positive chips; add 14 zero pairs so enough negative chips can be removed; remove 14 negative chips; 38 positive chips remain; value +38.

BStart with 24 positive chips; no zero pairs need to be added; remove 14 positive chips; 10 positive chips remain; value +10.

CStart with 24 negative chips; no zero pairs need to be added; remove 14 negative chips; 10 negative chips remain; value -10.

DStart with 14 negative chips; add 24 zero pairs so enough positive chips can be removed; remove 24 positive chips; 38 negative chips remain; value -38.

Solution & Explanation:For (+24) - (-14), start with 24 positive chips and subtract by removing 14 negative chips. Add 14 zero pairs because the starting model does not have enough negative chips to remove. After the removal, 38 positive chips remain, so the result is +38.

Problem 3Difficulty: Mastery

Which option represents (-30) + (+18) with the correct zero-pair cancellation?

ACombine 30 negative chips and 18 negative chips; no zero pairs form; 48 negative chips remain; value -48.

BCombine 30 positive chips and 18 positive chips; no zero pairs form; 48 positive chips remain; value +48.

CCombine 30 positive chips and 18 negative chips; remove 18 zero pairs; 12 positive chips remain; value +12.

DCombine 30 negative chips and 18 positive chips; remove 18 zero pairs; 12 negative chips remain; value -12.

Solution & Explanation:For (-30) + (+18), combine the chip groups. Pair 18 positive chips with 18 negative chips to make zero pairs. The leftover chips are 12 negative chips, so the result is -12.

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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 choose the chip model that matches an integer operation and select the resulting value. Associated standards listed with this skill in this prompt cell: CCSS 7.NS.A.1; FL MA.7.NSO.2.2; TX 7.3; VA 7.CE.1. Use this prompt-provided wording as the supporting standard description for this workflow.).