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

Common can mean that something is the same as something else. For example, when multiplication expressions each have one factor that is the same, they are said be common factors.

Explain how the distributive law applies to multiplication expressions with a common factor

Maths

In this unit pupils will explain how addition and subtraction can help to solve multiplication and division problems efficiently. They will learn how the distributive law applies to division expressions with a common divisor and using the distributive law to solve equations. In the future unit pupils will use priority of operations with positive and integers and decimals.

In the prior unit pupils explained the use of the commutative and associative laws when multiplying 3 or more numbers. In this unit pupils will explain how addition and subtraction can help solve multiplication and division problems. They will learn how the distributive law applies to division expressions with a common divisor and use their knowledge of the distributive law to solve equations. 

Order of operations

Look for a common factor to help you match the expressions that are equal in value. 

Using the distributive law, which expression is equal in value to this expression?

Compare the two expressions using < > or =

Use the distributive law to solve this problem. Marbles come in bags of 20       Jun has 7 bags of marbles and Sam has double this amount. How many marbles do they have altogether? {{ }} marbles.

Use the distributive law to solve this problem.  Marbles come in bags of 20         Jun has 7 bags of marbles and Sam has 12 bags of marbles. How many more marbles does Sam have than Jun? {{ }} marble

Compare the expressions using >, < or =   3 × 8 ___ 9 × 8

Use >, < or = to make this correct.   5 x 3 ___ 3 x 5 - 1 x 5

Look at the equation. What is the common factor in each expression?  8 × 3 = 5 × 3 + 3 × 3

Look at the equation. What is the common factor in each expression?  3 × 4 + 1 × 4 = 4 × 4   The common factor is {{ }}.

Match each equation to the correct solution.

Sam’s book has 150 pages. She reads 11 pages each day for 8 days. How many more pages does she have left to read? {{ }} pages.

This lesson will soon be taken down.

Explain how the distributive law applies to multiplication expressions with a common factor

Lesson outcome