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Adding and Subtracting Integers

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Adding and Subtracting Integers worksheet preview

Adding and Subtracting Integers

Number line with positive and negative integers

📊 Part 1: Number Line Operations

1. Use the number line to solve: (-3) + 5 = ______

Show your work by describing the movements on the number line below:

2. Calculate using a number line: 4 - (-2) = ______

Explain your steps:

3. Solve: (-7) + (-3) = ______

Describe the direction and distance moved:

4. Find the answer: 6 - 9 = ______

Show your working:

🔄 Part 2: Two-Sided Counters Method

5. Using the counter method, solve: (-5) + 8 = ______

Explain how positive and negative counters cancel out:

6. Calculate: 3 - 7 = ______

Describe how you would use counters to show this operation:

7. Which method do you prefer for solving integer problems?

Number line method

Two-sided counters method

Both methods equally

Explain your choice:

🌡️ Part 3: Real-World Applications

8. Temperature Problem: The temperature in Christchurch was -2°C in the morning. During the day it rose by 7°C. What was the afternoon temperature?

Calculation: _________________ = _______°C

9. Money Problem: Sarah had a debt of $15 (which we can write as -$15). She then spent another $8. What is her total financial position?

Calculation: _________________ = $______

10. Elevation Problem: A submarine is 25 metres below sea level (-25m). It rises 18 metres. What is its new position relative to sea level?

Calculation: _________________ = ______m

11. Reflection: Explain in your own words why subtracting a negative number is the same as adding a positive number.

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