Free Adding and Subtracting Integers Worksheets (Grades 6-8)

Practice adding and subtracting integers (Grades 6-8) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

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PanMaths.comAdding and Subtracting Integers WorksheetsSet A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
Directions: Solve each problem carefully. Show all intermediate work in the workspace provided.
1.
-5+(-1)
2.
-24
3.
8+(-7)
4.
-2+3
5.
-5(-10)
6.
2+(-7)
7.
1(-6)
8.
-2(-9)
9.
8+8
10.
-9(-5)
PanMaths.com • Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)
Answer Key
Total Problems: 10
Teacher & Parent Guide: Intermediate evaluation steps are provided for step-by-step grading and student self-correction.
1.
-5+(-1)= -6
1. Same Signs Rule (Negative + Negative): Add absolute values |-5| + |-1| = 6
2. Keep the Common Sign: Negative (−)
3. Result: (-5) + (-1) = -6 ✅
2.
-24= -6
1. Rewrite Subtraction as Adding the Opposite: (-2) − 4 = (-2) + (-4)
2. Apply Integer Addition Rules: |-2| with |-4|
3. Result: (-2) − 4 = -6 ✅
3.
8+(-7)= 1
1. Different Signs Rule: Subtract smaller absolute value from larger |8| − |7| = 1
2. Take Sign of Larger Magnitude: |8| is larger (Positive (+))
3. Result: 8 + (-7) = 1 ✅
4.
-2+3= 1
1. Different Signs Rule: Subtract smaller absolute value from larger |2| − |3| = 1
2. Take Sign of Larger Magnitude: |3| is larger (Positive (+))
3. Result: (-2) + 3 = 1 ✅
5.
-5(-10)= 5
1. Rewrite Subtraction as Adding the Opposite: (-5) − (-10) = (-5) + 10
2. Apply Integer Addition Rules: |-5| with |10|
3. Result: (-5) − (-10) = 5 ✅
6.
2+(-7)= -5
1. Different Signs Rule: Subtract smaller absolute value from larger |2| − |7| = 5
2. Take Sign of Larger Magnitude: |-7| is larger (Negative (−))
3. Result: 2 + (-7) = -5 ✅
7.
1(-6)= 7
1. Rewrite Subtraction as Adding the Opposite: 1 − (-6) = 1 + 6
2. Apply Integer Addition Rules: |1| with |6|
3. Result: 1 − (-6) = 7 ✅
8.
-2(-9)= 7
1. Rewrite Subtraction as Adding the Opposite: (-2) − (-9) = (-2) + 9
2. Apply Integer Addition Rules: |-2| with |9|
3. Result: (-2) − (-9) = 7 ✅
9.
8+8= 16
1. Same Signs Rule (Positive + Positive): Add absolute values |8| + |8| = 16
2. Keep the Common Sign: Positive (+)
3. Result: 8 + 8 = 16 ✅
10.
-9(-5)= -4
1. Rewrite Subtraction as Adding the Opposite: (-9) − (-5) = (-9) + 5
2. Apply Integer Addition Rules: |-9| with |5|
3. Result: (-9) − (-5) = -4 ✅
PanMaths.com • Answer Key & SolutionsPage 2 of 2
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Explore Interactive Tools for Adding and Subtracting Integers Worksheets

Master this math concept across all PanMaths learning verticals:

Worksheet Info

Categoryarithmetic
Grade LevelGrades 6–8
DifficultyEasy (-10 to 10) to Hard (-50 to 50)
Time10–15 min

Skills Practiced

  • Adding negative numbers
  • Subtracting negative numbers
  • Opposite addition rule
  • Sign determination
🎮 Interactive Warm-Up

Addition Mastery

Warm up with 60 seconds of rapid mental math practice before printing!

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Using the Number Line Strategy

When starting out, visualize moving along a number line: addition means moving to the right for positive numbers and to the left for negative numbers. Subtraction reverses the direction. This visual model prevents common sign flip errors.

Grade-Aligned Difficulty Levels

Choose Easy for numbers between -10 and 10 (ideal for Grade 6 introduction), Medium for ranges between -25 and 25, and Hard for values up to ±50 to build robust mental math speed.

💡 1. Adding Same Signs

Add the absolute values and keep the shared sign: -5 + (-3) = -8 (you owe 5 and owe 3, so you owe 8).

💡 2. Adding Different Signs

Subtract the smaller magnitude from the larger magnitude, and keep the sign of the larger number: -9 + 4 = -5.

💡 3. Subtracting a Negative = Adding a Positive

Turn subtraction into adding the opposite: 7 − (−4) = 7 + 4 = 11!

Worksheet Facts by Grade Level

Grade LevelCCSS StandardTarget Operations
Grade 6Understand positive and negative numbers on number lines (CCSS.6.NS.C.5)Single-digit addition within ±10
Grade 7Add and subtract rational numbers and apply opposite rules (CCSS.7.NS.A.1)Mixed addition and subtraction within ±20 with double negatives
Grade 8 / Pre-AlgebraSolve linear equations with multi-step signed integers (CCSS.8.EE.C.7)Multi-digit operations up to ±50

Mastering Integer Addition and Subtraction

Adding and subtracting signed numbers (CCSS.7.NS.A.1) is foundational for all subsequent middle and high school math.

Students often struggle with sign confusion. By framing addition as directional movement on a number line (right for positive, left for negative) and subtraction as reversing direction, students build a concrete mental model.

The "Add the Opposite" Rule for Subtraction

Every subtraction problem can be transformed into an addition problem: $a - b = a + (-b)$ and $a - (-b) = a + b$.

  • 12 − 15 = 12 + (−15) = −3
  • −8 − 6 = −8 + (−6) = −14
  • −10 − (−4) = −10 + 4 = −6

Zero Pairs & Real-World Intuition

A positive chip $+1$ and a negative chip $-1$ cancel out to form a zero pair. Real-world applications include bank account balances (deposits vs. withdrawals), elevation (above vs. below sea level), and temperature changes.

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Benefits of Mastery

📉 Number Line Fluency

Visualizes positive and negative quantities along a horizontal continuum.

⚖️ Zero Pairs & Opposite Rules

Eliminates confusion between double negatives and standard subtraction.

🧠 Mental Math Speed

Builds automaticity with signed calculations without relying on electronic calculators.

🖨️ Verified Step-by-Step Keys

Shows sign conversion steps and absolute value proofs on every printed sheet.

Frequently Asked Questions

Why does minus a minus become a plus?

Subtracting represents removing something. Removing a debt (a negative amount) makes your net worth increase, which is equivalent to adding positive money.

Is 0 positive or negative?

Zero is neither positive nor negative; it is the neutral origin point between positive and negative numbers.

How do I generate unlimited randomized integer worksheets?

Use the "Unlimited & Shuffle" button to generate fresh randomized worksheets with customizable problem counts and difficulty levels.