To understand and use the correct order of operations

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Presentation transcript:

To understand and use the correct order of operations Fish Shop Maths www.mathssandpit.co.uk/blog To understand and use the correct order of operations

A man walks into a Chip shop … Rita owns a fish & chip shop. Write down the exact portions of food each customer orders Eg 3 fish, 4 chips, 1 sausage www.mathssandpit.co.uk/blog

Three fish and four chips, ta! John Three fish and four chips, ta! www.mathssandpit.co.uk/blog

Sausage and chips twice, please! Freddie Sausage and chips twice, please! www.mathssandpit.co.uk/blog

Five fish and chips. Thanks! Brian Five fish and chips. Thanks! www.mathssandpit.co.uk/blog

So what did Rita have to serve up? John Three fish and four chips, ta! 3 fish 4 portions of chips www.mathssandpit.co.uk/blog

So what did Rita have to serve up? Freddie Sausage and chips twice, please! 2 sausages 2 portions of chips www.mathssandpit.co.uk/blog 1 sausage 2 portions of chips

So what did Rita have to serve up? Brian Five fish and chips. Thanks 5 fish 1 portion of chips www.mathssandpit.co.uk/blog 5 fish 5 portions of chips

Confused? Why were there two possible answers to some of the orders? In a maths lesson, can there ever be two possible answers to a simple calculation? www.mathssandpit.co.uk/blog

Try this: 2 × 3 + 5 1 + 3 × 5 Compare your answers with a partner www.mathssandpit.co.uk/blog

The solution All mathematicians in the world have agreed a set order to work out these calculations: Brackets Indices (Powers) www.mathssandpit.co.uk/blog Multiply Divide Add Subtract

Remember: No swapping where the numbers go Example What is 5 × (6 + 4) ÷ 2? What do we need to use? 5 × (6 + 4) ÷ 2 5 × 10 ÷ 2 5 × 5 25 Did you do 50 ÷ 2? Did you get the same answer? Brackets Indices (Powers) Multiply Divide www.mathssandpit.co.uk/blog Add Subtract Remember: No swapping where the numbers go

Questions 5 × (2 + 1) 5 × 2 + 1 12 + 4 ÷ 2 (12 + 4) ÷ 2 3 × 10 ÷ 5 10 ÷ 5 × 3 3 × 6 ÷ 2 - 1 3 × 6 ÷ (2 - 1) www.mathssandpit.co.uk/blog

Answers (Click to reveal) 5 × (2 + 1) 5 × 2 + 1 15 – 4 × 3 12 + 4 ÷ 2 (12 + 4) ÷ 2 3 × 10 ÷ 5 10 ÷ 5 × 3 3 × 6 ÷ 2 - 1 3 × 6 ÷ (2 - 1) 15 11 3 14 8 6 18 www.mathssandpit.co.uk/blog