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

A polygon is a 2D shape made up of 3 or more straight lines.

Use knowledge of the distributive law to solve problems in different contexts

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

Which of the following expressions is equivalent to 19 × 7?

What is the missing number in the array shown?

Use the distributive law to calculate how many sides there are in 16 heptagons.

Use the distributive law to calculate how many sides there are in 19 hexagons.

Andeep has 150 points to spend on battle robots. He wants to buy 8 Chuck robots, which are 19 points each. Can he afford it?

Izzy has 120 points to spend on battle robots. She wants to buy 8 Ice robots which are 15 points each. Can she afford it?

Which factor has been partitioned using the distributive law in the second expression here? 5 × 16 = 5 × 8 + 5 × 8

Which of the following expressions represents the total number of doughnuts if I have 10 boxes of 5 chocolate doughnuts and 3 boxes of 5 strawberry doughnuts.

Which of the following expressions is the array representing?

Starter Quiz