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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.

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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.

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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?
An image in a quiz
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?
An image in a quiz
(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