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Integer Operations Worksheet

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Integer Operations Worksheet

Solve each challenge. Show your working where space is provided. Remember: a product or quotient is positive when the signs match and negative when the signs differ.

Work the signs

Calculate each expression. Pay attention to the signs.

1.Calculate: (−8) × 6 = ____.

2.Calculate: (−42) ÷ (−7) = ____.

3.Calculate: 9 × (−4) = ____.

4.Calculate: 35 ÷ (−5) = ____.

5.True or false? The product of two negative integers is always negative. Explain your choice with an example.

Integer stories

Use an integer operation to solve each situation.

6.A submarine is at sea level. It descends 15 metres each minute for 4 minutes. Write a multiplication sentence and find its final position relative to sea level.

7.A lift moves down 48 metres in 6 equal moves. Represent the downward movement as an integer division and find the change in height for each move.

8.On this number line, start at 0 and make 3 equal jumps of −4. What number do you land on? Write the matching multiplication sentence.

Explain and solve

Use what you know about integer signs to tackle these final challenges.

9.Which expression has a positive answer: (−6) × 5 or (−6) × (−5)? Choose one and explain how the signs tell you.

(−6) × 5
(−6) × (−5)

10.Find the missing integer: (−6) × ____ = 48. Show how you use division to check your answer.

11.A game score changes by −7 points in each of 5 rounds. What is the total change? Then write a division sentence that splits this total change equally across the 5 rounds.