Resources/Integers practice: number line and operations
Grades 6-7•Printable worksheet + answer key•CC0 license

Integers practice: number line and operations

A printable lesson focused on comparing and operating with integers.

Students use number line reasoning to compare integers, add and subtract, and understand absolute value.

Print-ready worksheet with answer key and quick teaching tips.

Grades 6-70 problems10 minAnswer key included
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Ready-to-teach

Clear steps, examples, and practice in one printable page.

Misconception-proof

Highlights common mistakes and how to fix them quickly.

Open license

CC0: free to copy, adapt, and share without attribution.

Quick overview

This free integers worksheet for grades 6-7 reinforces number line reasoning and integer operations.

Lesson plan snapshot

15-20 min
  • Warm-up (3 min): quick number line comparisons.
  • Model (5 min): solve the worked example together.
  • Guided practice (5 min): complete problems 1-3 as a group.
  • Independent practice (7 min): finish the remaining problems.

Materials: number line, pencil

Learning targets

  • Compare integers on the number line.
  • Add and subtract integers with confidence.
  • Understand absolute value as distance from zero.

Step-by-step approach

  1. 1Use the number line: positive numbers are right of zero, negatives are left.
  2. 2Adding moves right for positives and left for negatives.
  3. 3Subtracting a number is the same as adding its opposite.
  4. 4Absolute value is the distance from zero.

Common mistakes

Mistake

Treating subtraction as always moving left.

Try instead

Subtracting a negative moves right on the number line.

Mistake

Dropping the negative sign when adding.

Try instead

Keep track of direction: negatives move left.

Mistake

Thinking absolute value keeps the sign.

Try instead

Absolute value is always non-negative.

Worked example

Guided
Solve: 4−(−6)=?4 - (-6) = ?
  1. Subtracting a negative means add the opposite.
  2. So 4 - (-6) = 4 + 6.
  3. 4 + 6 = 10.
Answer: 10

Related resources

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Expressions

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Word problems

Translate real-world scenarios into equations.

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Practice problems

10 problems • 15 min

Printable worksheet
  1. 1
    Solve: -3 × 5
  2. 2
    Which is greater: -2 or -8?
  3. 3
    Which is greater: -4 or 5?
  4. 4
    Which is greater: 6 or 5?
  5. 5
    Solve: -6 ÷ 2
  6. 6
    Solve: -2 - -6
  7. 7
    Which is greater: 2 or 3?
  8. 8
    Which is greater: -6 or -1?
  9. 9
    Which is greater: -2 or -5?
  10. 10
    Solve: 8 ÷ -4

Answer key

10 answers
  1. 11) -15
  2. 22) -2
  3. 33) 5
  4. 44) 6
  5. 55) -3
  6. 66) 4
  7. 77) 3
  8. 88) -1
  9. 99) -2
  10. 1010) -2

Teacher tips

  • THave students walk the number line to show direction.
  • TUse temperature or bank account contexts for meaning.
  • TAsk students to state the opposite before subtracting.

Parent tips

  • PUse real examples like temperatures or scoring in games.
  • PEncourage your child to draw a quick number line.
  • PCelebrate when they explain the direction clearly.

Open license

You are free to copy, adapt, and share these materials. No attribution required. Released under Creative Commons CC0 1.0 (public domain).