Integer Addition and Subtraction Adventures
Exploring positive and negative numbers Grade 7 Mathematics Journey through the number line
What Are Integers?
Whole numbers and their opposites Include positive numbers, negative numbers, and zero Examples: ...-3, -2, -1, 0, 1, 2, 3... Found everywhere in real life!
Real-World Integer Hunt
Temperature: 15°F vs -10°F Bank account: +$50 vs -$20 (debt) Elevator floors: 3rd floor vs basement level -2 Football: gain 7 yards vs lose 5 yards
The Number Line Strategy
Number line helps visualize integer operations Moving right means adding (positive direction) Moving left means subtracting (negative direction) Start at the first number, then move according to the operation
Practice: Adding Integers
5 + 3 = ? (-4) + (-6) = ? 7 + (-3) = ? (-8) + 5 = ?
Subtraction: Two Methods
{"left":"Method 1: Add the Opposite\nChange subtraction to addition\nChange the sign of the second number\nFollow addition rules","right":"Method 2: Number Line\nStart at the first number\nMove left for positive numbers being subtracted\nMove right for negative numbers being subtracted"}
Practice: Subtracting Integers
9 - 4 = ? 3 - 7 = ? (-5) - 2 = ? (-6) - (-8) = ?
Challenge Question
A submarine starts at sea level (0 feet) It dives 150 feet below sea level Then it rises 75 feet What is the submarine's final depth? Show your work using integers!
Integer Adventures Complete!
Integers include positive numbers, negative numbers, and zero Use number line or 'add the opposite' for operations Real-world applications help us understand integer meaning Practice makes perfect with integer operations!
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