← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8 · Whole Numbers
Properties of Whole Numbers
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 12

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 shown: 7 × 5 = 5 × 7
    (2)
    Commutative property of multiplication (the order was swapped).✓✓ (2)
  2. 2
    Name the property shown: (2 + 9) + 1 = 2 + (9 + 1)
    (2)
    Associative property of addition (the grouping changed).✓✓ (2)
  3. 3
    Use the distributive property to work out 7 × 98 without a calculator.
    (2)
    7 × (100 − 2) = 700 − 14 = 686✓✓ (2)
  4. 4
    Use the distributive property to work out 8 × 53.
    (2)
    8 × (50 + 3) = 400 + 24 = 424✓✓ (2)
  5. 5
    Fill in the missing numbers: 46 + ___ = 46 and 46 × ___ = 46
    (2)
    0 (additive identity) and 1 (multiplicative identity).✓✓ (2)
  6. 6
    What is 0 ÷ 8, and what is 8 ÷ 0?
    (2)
    0 ÷ 8 = 0; 8 ÷ 0 is undefined.✓✓ (2)
TOTAL: 12 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.