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Signed Integers Worksheet Generator

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Signed Integers (+, −, ×, ÷)Grades 6–8

12 Qs

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PanMaths.comSigned Integers Practice • Version A

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 12

Instructions: Show all your work for each problem. Write final answers clearly on the lines provided.

Section 1Signed Integers (+, −, ×, ÷)(Questions 1–12)

-20+(-20)

Workspace:

6−17

Workspace:

5+2

Workspace:

-19+10

Workspace:

-17−8

Workspace:

-4−19

Workspace:

19+20

Workspace:

-3−(-3)

Workspace:

7−(-14)

Workspace:

10.

14−(-8)

Workspace:

11.

-2+(-9)

Workspace:

12.

19+(-20)

Workspace:

PanMaths.com • Custom Multi-Topic Math Assessment (Version A)Page 1 of 2

PanMaths.com✅ Master Answer Key & Worked Steps • Version A

Topic: Signed Integers Practice

Total Questions: 12

TEACHER COPY

Section 1Signed Integers (+, −, ×, ÷)

-20 + (-20)

= -40

1. Same Signs Rule (Negative + Negative): Add absolute values |-20| + |-20| = 40

2. Keep the Common Sign: Negative (−)

3. Result: (-20) + (-20) = -40 ✅

6 − 17

= -11

1. Rewrite Subtraction as Adding the Opposite: 6 − 17 = 6 + (-17)

2. Apply Integer Addition Rules: |6| with |-17|

3. Result: 6 − 17 = -11 ✅

5 + 2

= 7

1. Same Signs Rule (Positive + Positive): Add absolute values |5| + |2| = 7

2. Keep the Common Sign: Positive (+)

3. Result: 5 + 2 = 7 ✅

-19 + 10

= -9

1. Different Signs Rule: Subtract smaller absolute value from larger |19| − |10| = 9

2. Take Sign of Larger Magnitude: |-19| is larger (Negative (−))

3. Result: (-19) + 10 = -9 ✅

-17 − 8

= -25

1. Rewrite Subtraction as Adding the Opposite: (-17) − 8 = (-17) + (-8)

2. Apply Integer Addition Rules: |-17| with |-8|

3. Result: (-17) − 8 = -25 ✅

-4 − 19

= -23

1. Rewrite Subtraction as Adding the Opposite: (-4) − 19 = (-4) + (-19)

2. Apply Integer Addition Rules: |-4| with |-19|

3. Result: (-4) − 19 = -23 ✅

19 + 20

= 39

1. Same Signs Rule (Positive + Positive): Add absolute values |19| + |20| = 39

2. Keep the Common Sign: Positive (+)

3. Result: 19 + 20 = 39 ✅

-3 − (-3)

= 0

1. Rewrite Subtraction as Adding the Opposite: (-3) − (-3) = (-3) + 3

2. Apply Integer Addition Rules: |-3| with |3|

3. Result: (-3) − (-3) = 0 ✅

7 − (-14)

= 21

1. Rewrite Subtraction as Adding the Opposite: 7 − (-14) = 7 + 14

2. Apply Integer Addition Rules: |7| with |14|

3. Result: 7 − (-14) = 21 ✅

#10

14 − (-8)

= 22

1. Rewrite Subtraction as Adding the Opposite: 14 − (-8) = 14 + 8

2. Apply Integer Addition Rules: |14| with |8|

3. Result: 14 − (-8) = 22 ✅

#11

-2 + (-9)

= -11

1. Same Signs Rule (Negative + Negative): Add absolute values |-2| + |-9| = 11

2. Keep the Common Sign: Negative (−)

3. Result: (-2) + (-9) = -11 ✅

#12

19 + (-20)

= -1

1. Different Signs Rule: Subtract smaller absolute value from larger |19| − |20| = 1

2. Take Sign of Larger Magnitude: |-20| is larger (Negative (−))

3. Result: 19 + (-20) = -1 ✅

PanMaths.com • Complete Step-by-Step Answer Key (Version A)Page 2 of 2

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🏛️ The Number System✓ Grades 6–8📐 CCSS.MATH.CONTENT.7.NS.A.1📐 CCSS.MATH.CONTENT.7.NS.A.2

Signed Integers Worksheet Generator: Pedagogical Standards & Implementation

Working with negative numbers is essential for Pre-Algebra. This generator reinforces counter-intuitive rules such as subtracting a negative equaling addition and multiplying two negatives producing a positive.

🧠 Core Mathematical Rules & Precedence

Addition with Same Signs: Add absolute values and preserve the common sign: (−4) + (−6) = −10.

Addition with Different Signs: Subtract the smaller absolute value from the larger, and adopt the sign of the number with the greater absolute value.

Double Negative Transformation: Subtracting a negative number is algebraically identical to adding a positive number: a − (−b) = a + b.

Multiplication & Division Rules: Same signs produce positive quotients/products ((+) × (+) = (+), (−) × (−) = (+)); opposite signs produce negative ((+) × (−) = (−)).

✏️ Worked Step-by-Step Problem Solution

Worked Signed Integer Expression

(−14) − (−8) + (−5) × 3

Step 1 (Multiplication First): Evaluate (−5) × 3 = −15 → (−14) − (−8) + (−15)
Step 2 (Double Negative): Rewrite − (−8) as + 8 → (−14) + 8 + (−15)
Step 3 (Add Left to Right): (−14) + 8 = −6 → −6 + (−15)
Step 4 (Final Sum): −6 + (−15) = −21

Verified Solution:−21

⚠️ Common Student Misconceptions & Traps

⚠️

Over-generalizing "Two Negatives Make a Positive": Applying multiplication sign rules to addition (e.g. thinking −3 + −4 = +7).

⚠️

Losing track of negative signs inside multi-step brackets.

🏫 Classroom Implementation & Printing Best Practices

🛡️

Zero Desk-Copying (Set A / Set B)

Distribute Set A to odd student rows and Set B to even student rows. Both sets test identical difficulty and problem types with different numbers.

📝

Spacious Calculation Workspace

Layout engineered with 2-column wide margins giving students adequate pencil space to record intermediate operations without scratchpaper sprawl.

⏱️

5-Minute Teacher Grading

Page 2 includes a complete teacher master answer key with intermediate steps and final answers for effortless classroom grading or self-checks.

💬 Frequently Asked Questions

Are negative numbers enclosed in parentheses for clarity?

Yes. Expressions like 5 − (−8) use standard mathematical parentheses to prevent sign ambiguity.

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