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Adding Subtracting Integers
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Adding and Subtracting Integers
🌡️ Part 1: Real-Life Integer Situations
1. The temperature in Queenstown was 5°C at midday. By midnight, it had dropped by 8°C. What was the temperature at midnight?
2. Sarah has $15 in her bank account. She owes her friend $20. If we represent owing money as negative, what is Sarah's actual financial position?
3. Mount Cook is 3,724 metres above sea level. The Mariana Trench is 11,034 metres below sea level. Which situation would be represented by a positive integer?
Mount Cook's height
Mariana Trench's depth
Both are positive
Neither are positive
📊 Part 2: Ordering and Comparing Integers
4. Order these integers from smallest to largest: -7, 3, -2, 0, 5, -10
5. Fill in the blanks with the correct inequality symbols (>, <, or =):
a) -4 _____ 2
b) -8 _____ -3
c) 0 _____ -5
d) -6 _____ -6
6. Which of these statements are true? (Check all that apply)
-3 is greater than -7
0 is less than all negative numbers
-1 is the largest negative integer
All positive integers are greater than all negative integers
➕➖ Part 3: Adding and Subtracting Integers
7. Solve these addition problems. Show your working using a number line or explain your method:
a) 4 + (-6) = _____
b) -3 + 8 = _____
c) -5 + (-4) = _____
8. Solve these subtraction problems. Show your working:
a) 7 - 10 = _____
b) -2 - 5 = _____
c) 3 - (-4) = _____
🎯 Part 4: Problem Solving with Integers
9. A submarine starts at sea level (0 metres). It dives down 45 metres, then rises 20 metres, then dives another 15 metres. What is its final depth?
10. In a game, you start with 0 points. You gain 12 points, lose 8 points, gain 5 points, then lose 15 points. What is your final score?
11. Match each integer operation with its result:
1. 6 + (-9)
2. -4 - (-7)
3. -8 + 5
4. 2 - 8
A. -6
B. 3
C. -3
D. -3
🤔 Part 5: Explaining Your Thinking
12. Draw a number line to show how you would solve -2 + 5:
13. Explain in your own words why subtracting a negative number makes the result larger. Use an example to support your explanation:
14. Create your own word problem involving adding or subtracting integers. Then solve it:
Your problem:
Your solution:
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