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Grade 8 · Integers
Properties of Integers & Inverses
MEMORANDUM
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Name the property: (−6) × 3 = 3 × (−6)
    (2)
    Commutative property of multiplication✓✓ (2)
  2. 2
    Name the property: (2 + (−5)) + 4 = 2 + ((−5) + 4)
    (2)
    Associative property of addition✓✓ (2)
  3. 3
    Name the property: (−2) × (7 + 3) = (−2)×7 + (−2)×3
    (2)
    Distributive property✓✓ (2)
  4. 4
    Use the distributive property to calculate (−5) × (20 + 3).
    (2)
    (−5)(20) + (−5)(3) = −100 + (−15) = −115✓✓ (2)
  5. 5
    Write down the additive inverse of −11.
    (2)
    11 (because −11 + 11 = 0)✓✓ (2)
  6. 6
    Write down the additive inverse of 8.
    (2)
    −8✓✓ (2)
  7. 7
    Write down the multiplicative inverse of −6.
    (2)
    −16 (because −6 × −16 = 1)✓✓ (2)
  8. 8
    Is subtraction commutative? Give an example to justify your answer.
    (2)
    No — e.g. 5 − 3 = 2 but 3 − 5 = −2, so the order matters.✓✓ (2)
TOTAL: 16 marks
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