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Integer Number Line Operations

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Integer Number Line Operations

Number line with positive and negative integers

📊 Part 1: Comparing Integers on the Number Line

1. Look at the number line below. Which number is greater?

-10 _____ -5 _____ 0 _____ 5 _____ 10

-7 or -3

-3 or -7

2. Which of these statements are true? (Tick all that apply)

-5 is less than -2

0 is greater than -4

-8 is greater than -10

3 is less than -1

3. Order these integers from smallest to largest:

-6, 2, -1, 5, -9, 0

Answer: _____, _____, _____, _____, _____, _____

4. How many steps are there between -4 and 6 on a number line?

2 steps

10 steps

8 steps

➕ Part 2: Adding Integers Using Number Lines

5. Use the number line to solve: -3 + 7

-10 _____ -5 _____ 0 _____ 5 _____ 10

Start at _____, move _____ steps to the _____, finish at _____

Answer: -3 + 7 = _____

6. Solve these addition problems using a number line:

a) -5 + 4 = _____

b) 3 + (-7) = _____

c) -6 + (-3) = _____

d) -4 + 4 = _____ (What do you notice about this answer?)

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

Number sentence: _____ + _____ = _____

Answer: The afternoon temperature was _____°C

🤔 Part 3: Problem Solving and Reflection

8. A submarine starts at sea level (0 metres). It dives down 15 metres, then rises 8 metres. Where is the submarine now?

Number sentence: _____ + _____ = _____

Answer: The submarine is _____ metres _____ sea level

9. Choose one addition problem from Part 2 and explain how you solved it using the number line. Use mathematical language in your explanation.
10. What happens when you add opposite numbers (like -5 and +5)? Give an example and explain why this happens.

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