Topic Review — Integers #2 — Solutions

1. Q1 — Absolute value and ordering

   1. 9 ▶ View Solution
   2. 4 + 3 = 7 ▶ View Solution
   3. −7, −3, −1, 0, 2, 5 ▶ View Solution
   4. −2 (−2 > −11) ▶ View Solution
   5. 15 and −15 ▶ View Solution

2. Q2 — Multiply and divide

   1. −40 ▶ View Solution
   2. 42 ▶ View Solution
   3. −36 ▶ View Solution
   4. −5 ▶ View Solution
   5. 9 ▶ View Solution
   6. −8 ▶ View Solution

3. Q3 — Powers of negatives

   1. 16 ▶ View Solution
   2. −27 ▶ View Solution
   3. 1 ▶ View Solution
   4. −32 ▶ View Solution
   5. 25 ▶ View Solution

4. Q4 — Comparing and reasoning

   1. <  (−12 < 12) ▶ View Solution
   2. True. |−5|=5 > |−3|=3. ▶ View Solution
   3. Negative — three negatives (odd number) give a negative product. ▶ View Solution
   4. Many possible answers, e.g. (−6) × (−4) = 24, or 3 × 8 = 24. ▶ View Solution

5. Q5 — Multi-step

   1. (−4) × 3 = −12; −12 ÷ (−6) = 2 ▶ View Solution
   2. (−2)³ = −8; (−1)⁴ = 1; −8 × 1 = −8 ▶ View Solution
   3. n = −9 (since (−5) × (−9) = 45) ▶ View Solution
   4. n = 24 (since 24 ÷ (−3) = −8) ▶ View Solution

6. Q6 — Word problems

   1. Coldest: −15°C. Smallest difference: −3°C and 2°C (difference of 5). ▶ View Solution
   2. (−3) × 7 = −21; floor −21. ▶ View Solution
   3. (−$500) × 6 = −$3000. ▶ View Solution
   4. Pattern: depth = −5 × (minutes). At 8 minutes: −5 × 8 = −40 m. ▶ View Solution
   5. 12 to −12 is a drop of 24°C. At 4°C per hour: 24 ÷ 4 = 6 hours. ▶ View Solution