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Grade 8 · Integers
Properties of Integers & Inverses
MEMORANDUM
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Class: 
Date: 
Mark
  / 10

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)
    (1)
    Commutative property of multiplication✓ (1)
  2. 2
    Name the property: (2 + (−5)) + 4 = 2 + ((−5) + 4)
    (1)
    Associative property of addition✓ (1)
  3. 3
    Name the property: (−2) × (7 + 3) = (−2) × 7 + (−2) × 3
    (1)
    Distributive property✓ (1)
  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.
    (1)
    11 (because −11 + 11 = 0)✓ (1)
  6. 6
    Write down the additive inverse of 8.
    (1)
    −8✓ (1)
  7. 7
    Write down the multiplicative inverse of −6.
    (1)
    −1/6 (because −6 × −1/6 = 1)✓ (1)
  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: 10 marks
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