When we compare lists of factors of two or more numbers, any factors that are the same are the common factors.

The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

Use knowledge of the distributive law to solve two part addition problems

Maths

In this unit pupils will use knowledge of distributive law to calculate products beyond known times tables facts In the future unit pupils will explain the relationship between multiplying a number by 10 and multiples of 10 They will explain why a zero can be placed after the final digit when multiplying it by 10 and why the final digit zero can be removed from a multiple of 10 when dividing by 10

In the prior unit pupils explained how each part of a multiplication and division equation related to a story. They partitioned one of the factors in a multiplication equation in different ways using representations. In this unit pupils will use knowledge of distributive law to calculate products beyond known times tables facts.

Apply the distributive law to multiplication

Tick the expressions that are equal in value to 3 × 8

Tick the expressions that are equal in value to 5 × 9

Which number goes in both gaps as a common factor? 2 × {{ }} + ___ × 3 = 20

Use distributive law to solve the two part addition of 2 × 4 + 2 × 5 = {{ }}

Use distributive law to solve the two part addition of 3 × 8 + 8 × 5 = {{ }}

Use distributive law to solve the two part addition of 9 × 3 + 5 × 9 = {{ }}

Which of the numbers in the following equation are the factors? 21 = 7 × 3

There are 4 bags of 5 apples. Match the object with group size or number of groups.

Which of the following expressions is the array representing?

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