Year 7
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Lesson details
Key learning points
- In this lesson, we will use the axioms to find efficient methods to solve multiplication calculations by using distributive, associative and commutative properties.
Licence
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5 Questions
Q1.
Which of the calculations below is equivalent to 8 x (9 + 10) ?
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
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)
Q4.
3 x ( 11 + 4) = 3 x 11 + 3 x 4 shows what property?
Associativity
Commutativity
Q5.
3 x ( 11 + 4) = (11 + 4) x 3 shows what property?
Associativity
Distributivity
4 Questions
Q1.
This model represents a way to calculate 28×5. What has the model changed the calculation to?
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
30 x 5
Q3.
a x b = b x a
False
True, because multiplication is associative
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