Using the associative, commutative and distributive laws together | Maths

Starter quiz

Match each law with an example of the law
- Commutative law
  
  ⇔
  
  $3 + 10 + 8 = 8 + 10 + 3$ ✓
- Associative law
  
  ⇔
  
  $6\times5\times4= (6\times5)\times4$ ✓
- Distributive law
  
  ⇔
  
  $45\times(0.7+0.3)=45\times0.7 + 45\times0.3$ ✓
Which of the following is an example of the distributive law for this calculation $39\times99$ ?
- $99\times39$
- $39\times(100 - 1)$ ✓
- $39\times(9 \times 9)$
Which of the following is an example of the distributive law for this calculation $22\times42$ You can select more than 1 answer.
- $22\times(40+2)$ ✓
- $22\times(21\times 2)$
- $22\times(4+2)$
- $22\times(10+10+10+10+2)$ ✓
Without using a calculator, use the distributive law to work out: 4.8 × 6.1 + 4.8 × 3.9 = ______
- '48' ✓
Work out the missing number: 5.67 × 0.3 + 5.67 × ______ = 5.67
- '0.7' ✓
Work out the missing number: 23 × 0.8 + 23 × 1.4 − 23 × ______ = 46
- '0.2' ✓