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Grade 7 The Number System Worksheets

Use signed numbers and rational-number operations to represent changes, positions, and real-world quantities. Explain a sign using a number line or context. Introductory square-root and scientific-notation packs are available as extensions; select them according to the student's sequence.

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11 skills with 33 worksheet PDFs

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Grade 7 The Number System

Integers and Their Opposites

I can solve problems involving integers and their opposites.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Adding Integers

I can solve problems involving adding integers.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Subtracting Integers

I can solve problems involving subtracting integers.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Adding and Subtracting Rational Numbers

I can solve problems involving adding and subtracting rational numbers.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Multiplying Integers and Rational Numbers

I can solve problems involving multiplying integers and rational numbers.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Dividing Integers and Rational Numbers

I can solve problems involving dividing integers and rational numbers.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Converting Rational Numbers to Decimals

I can solve problems involving converting rational numbers to decimals.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Solving Real-World Problems with Rational Numbers

I can solve problems involving solving real-world problems with rational numbers.

  • Worksheet 18 problems. Includes math models and explaining your reasoning.
  • Worksheet 28 problems. Includes correcting mistakes and working backward.
  • Worksheet 38 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Introduction to Square Roots

I can solve problems involving introduction to square roots.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Rational Number Operations in Extended Contexts

I can solve problems involving rational number operations in extended contexts.

  • Worksheet 18 problems. Includes math models and explaining your reasoning.
  • Worksheet 28 problems. Includes correcting mistakes and working backward.
  • Worksheet 38 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 The Number System

Introduction to Scientific Notation

I can solve problems involving introduction to scientific notation.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Make one worksheet a useful practice session

Ask the student to estimate, solve, and explain a check. Use the worked solutions after an independent attempt, then choose a different worksheet to apply the same skill in another way.

Read each worksheet description before choosing a task. Worksheet numbers are not difficulty ratings. Use a different form to apply the skill in a new way, not just to repeat the same questions.

Explore Grade 7 lessons or find a short topic quiz. Grade-level sequences vary; select the skills that match the student's current work.

Which PDF pages should I print?

Print page 1 for students. Page 2 contains worked solutions. Page 3 has optional book recommendations and is not needed for the activity.

When should students use the answer key?

Try the questions independently first. Then compare the steps, explain a correction, and check the result with a model or another method.

Do I need an account?

No account is needed to open these free PDF worksheets, public lessons, or topic quizzes.

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