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Adding Subtracting Integers

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Adding and Subtracting Integers

Number line with positive and negative integers

📊 Part 1: Using Number Lines

1. Use the number line below to solve: 3 + (-7)

Number line: -10 ___-9___-8___-7___-6___-5___-4___-3___-2___-1___0___1___2___3___4___5___6___7___8___9___10

Answer: ________

Explain your steps:

2. Solve these integer problems using a number line strategy:

a) -9 + 8 = ________

b) -5 + 8 = ________

c) 6 + (-10) = ________

d) -3 - (-7) = ________

3. Which direction do you move on a number line when:

Adding a negative number:

Move left (decreases value)

Move right (increases value)

Subtracting a negative number:

Move left (decreases value)

Move right (increases value)

🌡️ Part 2: Real-Life Context Problems

4. Temperature Changes

a) The temperature in Queenstown was -2°C in the morning. During the day it rose by 8°C. What is the new temperature?

Expression: ________ + ________ = ________°C

b) The temperature in Christchurch was 5°C and then dropped by 12°C overnight. What is the new temperature?

Expression: ________ - ________ = ________°C

5. Financial Scenarios

a) Sarah had a debt of $15 (represented as -15). She then spent another $8. What is her new financial position?

Expression: ________ + ________ = $________

b) Tom owed $20 to his friend. His friend forgave $7 of the debt. What does Tom still owe?

Expression: ________ - ________ = $________

6. Choose the correct real-life situation for the expression: -6 + 3

Starting 6m below sea level and diving down 3m further

Starting 6m below sea level and swimming up 3m

Starting 6m above sea level and going down 3m

✏️ Part 3: Mathematical Communication

7. Explain in your own words what happens when you add a negative integer to a positive integer:
8. Mathematical Vocabulary - Fill in the blanks using these words:

Words: integer, negative, positive, decrease, increase, opposite

a) An ________ is any whole number that can be positive, negative, or zero.

b) When you add a ________ number, the result will ________ in value.

c) Subtracting a negative number will ________ the original value.

d) The ________ of -5 is +5.

9. Challenge Problem

A submarine starts at sea level (0m). It dives 25m down, then rises 8m, then dives another 15m. What is its final depth?

Show your working using integer addition and subtraction:

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