MathsFreePrintable

Integer Operations Mastery

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Integer Operations Mastery

Work carefully with positive and negative integers. Show working for calculation and problem-solving questions.

Ordering and Comparing

1.Arrange these integers from least to greatest: −11, 4, −3, 0, 9, −6.

2.Choose the symbol that makes the comparison true: −18 __ −5.

−18 < −5
−18 > −5
−18 = −5

3.A point begins at −7 on a number line and moves 10 units to the right. Where does it finish?

−17
−3
3
17

4.At dawn, the temperature in Dunedin was −6°C. It increased by 11°C during the day. What was the later temperature?

Integer Calculations

5.Evaluate: −13 + 8.

6.Evaluate: 7 − (−12).

7.Evaluate: (−8) × 6.

8.Evaluate: (−72) ÷ (−9).

9.Use the distributive property to evaluate: −4 × (6 + (−9)).

10.A bank account has a balance of −$38. A payment of $17 is taken from the account. What is the new balance?

Reasoning and Problem Solving

11.Match each integer expression to its value.

(−3) × (−7)
−24 ÷ 4
−9 + 3
5 − 13
(−2) × 4

−6
−8
−8
21
−6

12.Explain why multiplying two negative integers gives a positive result. Use the pattern below to support your explanation: (−3) × 4 = −12, (−3) × 3 = −9, (−3) × 2 = −6, (−3) × 1 = −3, (−3) × 0 = 0. What should (−3) × (−1) equal to keep the pattern consistent?

13.A research submersible is at sea level. It descends 125 m, rises 70 m, then descends 55 m. Represent sea level as 0 m and calculate its final position.