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Mastering Integer Operations

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Mastering Integer Operations worksheet preview

Mastering Integer Operations

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📚 Part 1: Multiple Choice & Checkboxes

1. What is -7 + 12?

-19

5

-5

7

2. Evaluate 8 − (−3) =

5

11

−11

2

3. Select all that are true:

(−3) × (−4) = 12

5 ÷ (−1) = 5

(−2) + 2 = 0

0 × (−7) = 0

4. What is the sign of the answer when you divide a negative integer by a positive integer?

Positive

Negative

Zero

Cannot determine

✏️ Part 2: Short Answer & Working

5. Calculate: −15 ÷ 3 = ______
6. Use a number line (draw below) to show −4 + 9. Label your jumps and give the answer.
Answer: ______
7. Context problem — Temperature: Last night the temperature was 5°C and it dropped by 12°C by morning. What is the morning temperature? Show working and check using the inverse operation.
8. Explain in one sentence why subtracting a negative number is equivalent to adding a positive number.

🔎 Extension, Differentiation & Success Criteria

Extension (for advanced learners)

• Solve and justify: (−6) × (−4) + 15 ÷ (−3) = ______. Show each step and explain sign rules used.

Differentiation strategies (for diverse learners)

• Support: Use two-sided counters or a printed number line; break problems into smaller steps and talk through moves aloud.

• Challenge: Ask learners to create a 2-step real-world problem using integers (e.g., finance or temperature) and solve it algebraically.

Success criteria (tick when met)

• I can add and subtract integers correctly using number-line reasoning.

• I can multiply and divide integers and explain sign rules.

• I can check answers using inverse operations and estimation.

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