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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 6โ8.
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Set A โข 10 Qs
PanMaths.comIntegers Within 20 Worksheet Generator with Answers (Adding & Subtracting ยฑ20) โข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.17โ16
= ย ______Workspace:
2.2โ15
= ย ______Workspace:
3.6+10
= ย ______Workspace:
4.14โ4
= ย ______Workspace:
5.9+7
= ย ______Workspace:
6.12+(-9)
= ย ______Workspace:
7.17+(-9)
= ย ______Workspace:
8.-4โ2
= ย ______Workspace:
9.-5โ(-16)
= ย ______Workspace:
10.-6+6
= ย ______Workspace:
PanMaths.comAnswer Key & Worked Solutions โข Set A (Medium)
Answer Key
Total Problems: 10
1.17โ16
= 11. Rewrite Subtraction as Adding the Opposite: 17 โ 16 = 17 + (-16)
2. Apply Integer Addition Rules: |17| with |-16|
3. Result: 17 โ 16 = 1 โ
2.2โ15
= -131. Rewrite Subtraction as Adding the Opposite: 2 โ 15 = 2 + (-15)
2. Apply Integer Addition Rules: |2| with |-15|
3. Result: 2 โ 15 = -13 โ
3.6+10
= 161. Same Signs Rule (Positive + Positive): Add absolute values |6| + |10| = 16
2. Keep the Common Sign: Positive (+)
3. Result: 6 + 10 = 16 โ
4.14โ4
= 101. Rewrite Subtraction as Adding the Opposite: 14 โ 4 = 14 + (-4)
2. Apply Integer Addition Rules: |14| with |-4|
3. Result: 14 โ 4 = 10 โ
5.9+7
= 161. Same Signs Rule (Positive + Positive): Add absolute values |9| + |7| = 16
2. Keep the Common Sign: Positive (+)
3. Result: 9 + 7 = 16 โ
6.12+(-9)
= 31. Different Signs Rule: Subtract smaller absolute value from larger |12| โ |9| = 3
2. Take Sign of Larger Magnitude: |12| is larger (Positive (+))
3. Result: 12 + (-9) = 3 โ
7.17+(-9)
= 81. Different Signs Rule: Subtract smaller absolute value from larger |17| โ |9| = 8
2. Take Sign of Larger Magnitude: |17| is larger (Positive (+))
3. Result: 17 + (-9) = 8 โ
8.-4โ2
= -61. Rewrite Subtraction as Adding the Opposite: (-4) โ 2 = (-4) + (-2)
2. Apply Integer Addition Rules: |-4| with |-2|
3. Result: (-4) โ 2 = -6 โ
9.-5โ(-16)
= 111. Rewrite Subtraction as Adding the Opposite: (-5) โ (-16) = (-5) + 16
2. Apply Integer Addition Rules: |-5| with |16|
3. Result: (-5) โ (-16) = 11 โ
10.-6+6
= 01. Different Signs Rule: Subtract smaller absolute value from larger |6| โ |6| = 0
2. Take Sign of Larger Magnitude: |-6| is larger (Negative (โ))
3. Result: (-6) + 6 = 0 โ
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Build Custom Test โThe 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 โ -13 + 13 + 5 = 0 + 5 = 5.
- Strategy 2: Adding the Opposite for Subtraction. Convert every subtraction problem into an addition problem: a โ b โ a + (-b). E.g. 7 โ 19 โ 7 + (-19) = -12.
- Strategy 3: Absolute Value Subtraction. For opposite signs, find the difference of their magnitudes: |18| โ |-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 โ 15. Students often flip it to 15 โ 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.