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Integer Operations and Absolute Value
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Integer Operations and Absolute Value
📚 Part 1: Integer Multiplication and Division
1. Calculate the following products:
a) 6 × (-4) = _____
b) (-7) × 5 = _____
c) (-3) × (-8) = _____
d) 9 × (-2) = _____
2. Calculate the following quotients:
a) 24 ÷ (-6) = _____
b) (-35) ÷ 7 = _____
c) (-48) ÷ (-12) = _____
d) 56 ÷ (-8) = _____
3. Which rule is correct for multiplying integers?
Positive × Positive = Negative
Negative × Negative = Positive
Positive × Negative = Positive
Negative × Positive = Positive
🎯 Part 2: Absolute Value
4. Find the absolute value of each integer:
a) |-12| = _____
b) |7| = _____
c) |-25| = _____
d) |0| = _____
5. What does absolute value represent?
The sign of a number
The distance from zero on a number line
Whether a number is positive or negative
The opposite of a number
6. Explain why |−8| = 8 using the number line:
🌟 Part 3: Real-World Applications
7. Temperature Problem: The temperature drops by 3°C every hour for 4 hours. If it started at 5°C, what is the final temperature?
8. Debt Problem: Sarah owes $15 to each of her 6 friends. Write this as an integer multiplication and find the total amount she owes:
9. Elevator Problem: An elevator goes down 8 floors, then down another 12 floors. If it started at ground level (floor 0), what floor is it on now? What is the absolute value of this position?
10. Challenge: If (-4) × a = 28, what is the value of a? Show your working:
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