Lesson details

Key learning points

  1. In this lesson, we will use the axioms to find efficient methods to solve multiplication calculations by using distributive, associative and commutative properties.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

Loading...

5 Questions

Q1.
Which of the calculations below is equivalent to 8 x (9 + 10) ?
Correct answer: 8 x 9 + 10 x 8
9 x (8 + 10)
9 x 10 + 8 x 10
Q2.
Which of the calculations below is equivalent to 9 x 8 + 9 x 10 ?
8 x 9 + 10 x 8
Correct answer: 9 x (8 + 10)
9 x 10 + 8 x 10
Q3.
Which of the calculations below is equivalent to (8 + 9) x 10 ?
8 x 9 + 10 x 8
9 x (8 + 10)
Correct answer: 9 x 10 + 8 x 10
Q4.
3 x ( 11 + 4) = 3 x 11 + 3 x 4 shows what property?
Associativity
Commutativity
Correct answer: Distributivity
Q5.
3 x ( 11 + 4) = (11 + 4) x 3 shows what property?
Associativity
Correct answer: Commutativity
Distributivity

4 Questions

Q1.
This model represents a way to calculate 28×5. What has the model changed the calculation to?
Correct answer: 10 x 14
28 x 10
5 x 28
Q2.
This model represents a way to calculate 28×5. What has the model changed the calculation to?
(26 + 2) x 5
Correct answer: (30 - 2) x 5
30 x 5
Q3.
a x b = b x a
False
True, because multiplication is associative
Correct answer: True, because multiplication is commutative
True, because multiplication is distributive
Q4.
a x (b + c) = a x b + a x c
False
True, because multiplication is associative
True, because multiplication is commutative
Correct answer: True, because multiplication is distributive

Lesson appears in

UnitMaths / Axioms and arrays