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Comparing and Ordering Integers

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Comparing and Ordering Integers

Number line with integers

📊 Part 1: Comparing Integers

1. Use the symbols <, >, ≤, or ≥ to compare these integers:

a) -5 _____ 2

b) -3 _____ -6

c) 0 _____ -4

d) -8 _____ -8

2. Which statement is true?

-7 > -2

-7 < -2

-7 = -2

Cannot be determined

3. On a number line, which integer is furthest to the left?

-1

-9

3

-5

4. The temperature in Melbourne was -2°C and in Sydney it was 5°C. Which city was colder?

📏 Part 2: Ordering Integers

5. Order these integers from smallest to largest: -4, 7, -1, 0, -9, 3
6. Order these integers from largest to smallest: -2, -8, 1, -5, 4
7. A submarine is at -45 metres, a fish is at -12 metres, and a boat is at sea level (0 metres). Order their positions from deepest to highest.

🧮 Part 3: Problem Solving with Integers

8. Calculate and then compare your answer to zero using <, >, or =:

a) (-3) + 5 = _____ and _____ ○ 0

b) (-7) - 2 = _____ and _____ ○ 0

c) 4 + (-6) = _____ and _____ ○ 0

9. True or False? Circle your answers and explain one of them:

a) (-4) + 1 < 0 True / False

b) (-5) + 8 ≥ 2 True / False

c) 0 > (-3) - 2 True / False

Explanation for one answer:

10. A bank account starts with $0. If you withdraw $15 (represented as -15) and then deposit $8 (represented as +8), what is your final balance? Is it greater than, less than, or equal to your starting balance?

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