Brackets are symbols used in pairs to group things together.

The order of operations is a set of rules that tell you which operations have priority over others in an equation.

Combine division with addition and subtraction

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

Which expression represents how to find the total number of coins in these wallets?

Match the equations to the correct solutions. 

Aisha says that 3 + 12 ÷ 3 = 7 Jun says that 3 + 12 ÷ 3 = 5  Who is correct?

Compare the two expressions using < > or = 

Jun needs to solve 11 x (3 + 2)     Which operation will he need to complete first?

Complete the equation: 12 × 3 + 5 × 12 = {{ }}

Using the distributive law, which expression would have the same solution as this expression?    11 × 2 + 11 × 3

Look for the common factor in the expressions and match the expressions that are equal.

Use the distributive law to solve this problem. Marbles come in bags of 30     Jun has 3 bags of marbles and Sam has double this amount. How many marbles do they have altogether? {{ }} marbles.

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