Adding & Subtracting Integers II — Solutions

1. Simplify: adding a negative

   1. 5 + (−3): 2 ▶ View Solution
   2. 8 + (−2): 6 ▶ View Solution
   3. 1 + (−6): −5 ▶ View Solution
   4. −4 + (−3): −7 ▶ View Solution
   5. 3 + (−9): −6 ▶ View Solution
   6. −5 + (−8): −13 ▶ View Solution
   7. 10 + (−4): 6 ▶ View Solution
   8. −7 + (−2): −9 ▶ View Solution

2. Simplify: subtracting a negative

   1. 7 − (−2): 9 ▶ View Solution
   2. 4 − (−5): 9 ▶ View Solution
   3. −3 − (−1): −2 ▶ View Solution
   4. −6 − (−8): 2 ▶ View Solution
   5. 2 − (−8): 10 ▶ View Solution
   6. −5 − (−9): 4 ▶ View Solution
   7. 0 − (−3): 3 ▶ View Solution
   8. −10 − (−4): −6 ▶ View Solution

3. Mixed double signs

   1. 3 + (−8): −5 ▶ View Solution
   2. −2 + (−5): −7 ▶ View Solution
   3. 10 − (−4): 14 ▶ View Solution
   4. −1 − (−7): 6 ▶ View Solution
   5. −4 + (−4): −8 ▶ View Solution
   6. 5 − (−6): 11 ▶ View Solution
   7. −9 − (−9): 0 ▶ View Solution
   8. 0 + (−7): −7 ▶ View Solution

4. True or False: Double Sign Rules

   1. −(−5) = +5: True ▶ View Solution
   2. +(−3) = +3: False ▶ View Solution
   3. Adding a negative always gives a smaller result: True ▶ View Solution
   4. Subtracting a negative = adding a positive: True ▶ View Solution

5. Rewrite without brackets

   1. 6 + (−7): −1 ▶ View Solution
   2. 9 − (−4): 13 ▶ View Solution
   3. −5 + (−2): −7 ▶ View Solution
   4. −3 − (−3): 0 ▶ View Solution
   5. 0 − (−10): 10 ▶ View Solution

6. Debt Problem

   Balance (−12 + 8 + (−5)): −$9 ▶ View Solution

7. Temperature

   Difference (−3 − (−6)): 3°C ▶ View Solution

8. Golf Scores

   Player A (score −4) vs Player B (score −7): Player A is 3 strokes ahead ▶ View Solution

9. Find the Missing Integer

   1. ___ − (−3) = 5: 2 ▶ View Solution
   2. 7 + ___ = 2: −5 ▶ View Solution
   3. −4 − ___ = 1: −5 ▶ View Solution

10. Exam Challenge

    1. −8 − (−3) + (−2): −7 ▶ View Solution
    2. Explain −(−4) = +4: Subtracting a negative reverses direction — removing a debt of 4 is the same as gaining 4 ▶ View Solution
    3. (−5) − (−5) and conclusion: 0 — a number minus itself always equals zero ▶ View Solution