Negative Territory Worksheet
Grade 8 Mathematics • Integer Operations
Negative Territory Worksheet
Name:
Date:
Period:
Key Idea: When a positive integer and its opposite negative integer combine, they form a zero pair with a sum of \(0\).
A
Direct Practice: Opposites & Zero Sums
Solve Each Expression
Find the sum for each problem below:
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\(12 + (-12) =\)
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\(-15 + 15 =\)
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\(-20 + 20 =\)
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\(18 + (-18) =\)
5. What is the mathematical term for two numbers that cancel each other to equal \(0\)?
B
Model Analysis: Integer Chips
Visual Representation
6. The counters below represent an addition expression. Count the positive and negative chips, write the expression, and determine the sum:
Negative:
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-
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Positive:
Addition Expression:
Calculated Sum:
C
Adding Beyond Zero: Friendly Integers
Skill Practice
Find the sum. Think about how many zero pairs cancel out:
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\(15 + (-10) =\)
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\(-12 + 15 =\)
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\(-14 + 10 =\)
Negative Territory Worksheet • Page 1: Direct Practice & Models Page 1 of 2
Section D & E: Number Lines, Word Problems & Reasoning
Name:
D
Number Line Addition
Direct Visual Problem
10. Solve the expression: \(-10 + 15\).
Place a point at \(-10\), draw an arrow moving \(15\) units to the right, and mark your final sum:
-15 -10 -5 0 +5 +10 +15
Written Expression:
Final Sum on Number Line:
E
Real-World Applications
Temperature & Money
11. At 6:00 AM, the temperature outside is \(-10^\circ\text{F}\). By noon, the temperature warms up and increases by \(16^\circ\text{F}\).
Addition Expression:
Noon Temperature (\(^\circ\text{F}\)):
12. Delani has a balance of \(-\$12\) in her school lunch account. She deposits \(\$20\) into the account.
Addition Expression:
New Account Balance (\(\$\)):
F
Explain Your Thinking
Concept Reasoning
13. When you add a positive integer and a negative integer, how do you know whether the answer will be positive, negative, or zero just by looking at the numbers?
Explain in 1–2 complete sentences (Hint: think about which number has more units or is farther from \(0\)):
Negative Territory Worksheet • Page 2: Number Lines, Scenarios & Reasoning Page 2 of 2
