How does the unlimited integers within 20 worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of integers within 20 problems with unique numbers. No two worksheets are ever the same — perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

Are these integers within 20 worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.

🎓 Grades 6-8📄 Free PDF✅ Answer Keys♾️ Unlimited Generator

Integers Within 20FREEWorksheet Generator(Grades 6-8)

Generate free printable integers within 20 worksheets with step-by-step intermediate answers. Practice adding and subtracting teen negative numbers and double negatives for Grades 6–8.

📐Aligned to Common Core State Standards (CCSS)·15-20 min per sheet

🎯 Integers & Signed Numbers Worksheets:Switch to PEMDAS / BODMAS Worksheets ➔

Within ±10 Within ±20Teen Signs Add & Subtract (±50)Multiply & Divide

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📄 Sheet #1•10 Problems

PanMaths.comIntegers Within 20 Worksheet Generator with Answers (Adding & Subtracting ±20) • Worksheet #1

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

17−16= ______

Workspace:

2−15= ______

Workspace:

6+10= ______

Workspace:

14−4= ______

Workspace:

9+7= ______

Workspace:

12+(-9)= ______

Workspace:

17+(-9)= ______

Workspace:

-4−2= ______

Workspace:

-5−(-16)= ______

Workspace:

10.

-6+6= ______

Workspace:

PanMaths.com • Free Math Worksheet GeneratorPage 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Worksheet #1

Answer Key

Total Problems: 10

17−16= 1

1. Rewrite Subtraction as Adding the Opposite: 17 − 16 = 17 + (-16)

2. Apply Integer Addition Rules: |17| with |-16|

3. Result: 17 − 16 = 1 ✅

2−15= -13

1. Rewrite Subtraction as Adding the Opposite: 2 − 15 = 2 + (-15)

2. Apply Integer Addition Rules: |2| with |-15|

3. Result: 2 − 15 = -13 ✅

6+10= 16

1. Same Signs Rule (Positive + Positive): Add absolute values |6| + |10| = 16

2. Keep the Common Sign: Positive (+)

3. Result: 6 + 10 = 16 ✅

14−4= 10

1. Rewrite Subtraction as Adding the Opposite: 14 − 4 = 14 + (-4)

2. Apply Integer Addition Rules: |14| with |-4|

3. Result: 14 − 4 = 10 ✅

9+7= 16

1. Same Signs Rule (Positive + Positive): Add absolute values |9| + |7| = 16

2. Keep the Common Sign: Positive (+)

3. Result: 9 + 7 = 16 ✅

12+(-9)= 3

1. Different Signs Rule: Subtract smaller absolute value from larger |12| − |9| = 3

2. Take Sign of Larger Magnitude: |12| is larger (Positive (+))

3. Result: 12 + (-9) = 3 ✅

17+(-9)= 8

1. Different Signs Rule: Subtract smaller absolute value from larger |17| − |9| = 8

2. Take Sign of Larger Magnitude: |17| is larger (Positive (+))

3. Result: 17 + (-9) = 8 ✅

-4−2= -6

1. Rewrite Subtraction as Adding the Opposite: (-4) − 2 = (-4) + (-2)

2. Apply Integer Addition Rules: |-4| with |-2|

3. Result: (-4) − 2 = -6 ✅

-5−(-16)= 11

1. Rewrite Subtraction as Adding the Opposite: (-5) − (-16) = (-5) + 16

2. Apply Integer Addition Rules: |-5| with |16|

3. Result: (-5) − (-16) = 11 ✅

10.

-6+6= 0

1. Different Signs Rule: Subtract smaller absolute value from larger |6| − |6| = 0

2. Take Sign of Larger Magnitude: |-6| is larger (Negative (−))

3. Result: (-6) + 6 = 0 ✅

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categoryarithmetic

Grade LevelGrades 6-8 (Middle School Pre-Algebra)

DifficultyIntermediate (Two-digit and teen signed integers -20 to +20)

Time15-20 min

Skills Practiced

✓ Adding and subtracting integers between -20 and +20
✓ Resolving double negatives: a − (−b) = a + b
✓ Mental decomposition with teen signed numbers
✓ Evaluating magnitude differences across zero

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Related Worksheets

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The 3 Strategic Approaches for Teen Integers

Strategy 1: Making a Zero Benchmark. Break the second number apart so one chunk neutralizes the first number to zero. E.g. -13 + 18 ➔ -13 + 13 + 5 = 0 + 5 = 5.
Strategy 2: Adding the Opposite for Subtraction. Convert every subtraction problem into an addition problem: a − b ➔ a + (-b). E.g. 7 − 19 ➔ 7 + (-19) = -12.
Strategy 3: Absolute Value Subtraction. For opposite signs, find the difference of their magnitudes: |18| − |-11| = 7. Since +18 is larger, result is +7.

Common Middle School Traps with Teen Integers

Trap 1: Forgetting the negative sign on the final answer. Calculating -17 + 9 as 8 instead of -8 because the larger magnitude was negative.
Trap 2: Confusing addition of two negatives with multiplication. Thinking (-12) + (-5) = +17 because "two negatives make a positive". Clarify: two negatives make a positive ONLY in multiplication and double-negation, never in addition!
Trap 3: Subtracting a larger positive from a smaller positive: 6 − 15. Students often flip it to 15 − 6 = 9. Train them that starting small and taking away large always lands in negative territory: -9.

Anti-Cheat Classroom Versions & Step-by-Step Answer Keys

PanMaths supports educators by providing parallel Set A, Set B, Set C, and Set D options. The included answer key shows every substitution line, absolute value difference, and final signed integer for fast, stress-free grading.