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Integer Operations Practice

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Integer Operations Practice

Integer Operations Practice

Number line with positive and negative integers

📊 Part 1: Ordering and Comparing Integers

1. Place these integers in order from smallest to largest: -8, 3, -2, 7, -5, 0, 4
2. Circle the correct symbol to compare these integers:

-7 _____ -3

<

>

=

3. Which temperature is colder?

-12°C

-5°C

They are the same

4. Mark these integers on the number line below:

Integers to plot: -6, -1, 2, 5

➕➖ Part 2: Adding and Subtracting Integers

5. Solve these addition problems. Show your working using a number line or explain your method:

a) -4 + 6 = _____

b) -7 + (-3) = _____

c) 8 + (-5) = _____

6. Solve these subtraction problems:

a) 3 - 7 = _____

b) -5 - (-2) = _____

c) -6 - 4 = _____

7. True or False: When you subtract a negative number, the result becomes larger.

True

False

Explain your answer: ________________________________

🌡️💰 Part 3: Real-World Applications

8. Temperature Problem:

The temperature in Palmerston North started at -3°C in the morning. During the day it dropped another 5°C. What is the temperature now?

Equation: ________________________________

Answer: ________°C

9. Money Problem:

Sarah has a debt of $10 (which we can write as -$10). She then pays back $15. What is her new balance?

Equation: ________________________________

Answer: $________

10. Altitude Problem:

A submarine is 25 metres below sea level (-25m). It rises 8 metres and then dives down another 12 metres. What is its final depth?

Starting position: _______ metres

After rising: _______ metres

Final position: _______ metres

🎯 Part 4: Challenge Problems

11. Fill in the missing integers:

a) _____ + (-4) = -1

b) 6 - _____ = -2

c) -8 - (-_____) = -3

12. Check all the expressions that equal -7:

-3 + (-4)

-10 - (-3)

2 - 9

-5 - 2

-12 + 5

13. Create your own word problem using negative numbers. Include the solution:
14. Explain in your own words why subtracting a negative number is the same as adding a positive number:

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