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Integers Withinย 20FREEWorksheet Generator(Grades 6-8)

Integers Within 20 worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 6โ€“8.

Level:
Set:
Count:
Set A โ€ข 10 Qs
PanMaths.comIntegers Within 20 Worksheet Generator with Answers (Adding & Subtracting ยฑ20) โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.17โˆ’16
= ย ______
Workspace:
2.2โˆ’15
= ย ______
Workspace:
3.6+10
= ย ______
Workspace:
4.14โˆ’4
= ย ______
Workspace:
5.9+7
= ย ______
Workspace:
6.12+(-9)
= ย ______
Workspace:
7.17+(-9)
= ย ______
Workspace:
8.-4โˆ’2
= ย ______
Workspace:
9.-5โˆ’(-16)
= ย ______
Workspace:
10.-6+6
= ย ______
Workspace:
PanMaths.com โ€ข Free Math Worksheet Generator โ€ข Set A (Medium)Page 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Medium)
Answer Key
Total Problems: 10
1.17โˆ’16
= 1
1. Rewrite Subtraction as Adding the Opposite: 17 โˆ’ 16 = 17 + (-16)
2. Apply Integer Addition Rules: |17| with |-16|
3. Result: 17 โˆ’ 16 = 1 โœ…
2.2โˆ’15
= -13
1. Rewrite Subtraction as Adding the Opposite: 2 โˆ’ 15 = 2 + (-15)
2. Apply Integer Addition Rules: |2| with |-15|
3. Result: 2 โˆ’ 15 = -13 โœ…
3.6+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 โœ…
4.14โˆ’4
= 10
1. Rewrite Subtraction as Adding the Opposite: 14 โˆ’ 4 = 14 + (-4)
2. Apply Integer Addition Rules: |14| with |-4|
3. Result: 14 โˆ’ 4 = 10 โœ…
5.9+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 โœ…
6.12+(-9)
= 3
1. Different Signs Rule: Subtract smaller absolute value from larger |12| โˆ’ |9| = 3
2. Take Sign of Larger Magnitude: |12| is larger (Positive (+))
3. Result: 12 + (-9) = 3 โœ…
7.17+(-9)
= 8
1. Different Signs Rule: Subtract smaller absolute value from larger |17| โˆ’ |9| = 8
2. Take Sign of Larger Magnitude: |17| is larger (Positive (+))
3. Result: 17 + (-9) = 8 โœ…
8.-4โˆ’2
= -6
1. Rewrite Subtraction as Adding the Opposite: (-4) โˆ’ 2 = (-4) + (-2)
2. Apply Integer Addition Rules: |-4| with |-2|
3. Result: (-4) โˆ’ 2 = -6 โœ…
9.-5โˆ’(-16)
= 11
1. Rewrite Subtraction as Adding the Opposite: (-5) โˆ’ (-16) = (-5) + 16
2. Apply Integer Addition Rules: |-5| with |16|
3. Result: (-5) โˆ’ (-16) = 11 โœ…
10.-6+6
= 0
1. Different Signs Rule: Subtract smaller absolute value from larger |6| โˆ’ |6| = 0
2. Take Sign of Larger Magnitude: |-6| is larger (Negative (โˆ’))
3. Result: (-6) + 6 = 0 โœ…
PanMaths.com โ€ข 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

  • โœ“ Adding and subtracting integers between -20 and +20
  • โœ“ Resolving double negatives: a โˆ’ (โˆ’b) = a + b
  • โœ“ Mental decomposition with teen signed numbers
  • โœ“ Evaluating magnitude differences across zero
๐ŸŽฎ Interactive Warm-Up

Signed Integers Meteor Defense Arcade

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

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The 3 Strategic Approaches for Teen Integers

  1. Strategy 1: Making a Zero Benchmark. Break the second number apart so one chunk neutralizes the first number to zero. E.g. -13 + 18 โž” -13 + 13 + 5 = 0 + 5 = 5.
  2. Strategy 2: Adding the Opposite for Subtraction. Convert every subtraction problem into an addition problem: a โˆ’ b โž” a + (-b). E.g. 7 โˆ’ 19 โž” 7 + (-19) = -12.
  3. Strategy 3: Absolute Value Subtraction. For opposite signs, find the difference of their magnitudes: |18| โˆ’ |-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 โˆ’ 15. Students often flip it to 15 โˆ’ 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.