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Understanding Order of Operations Through Rita's Fish and Chip Shop Orders

Dive into the essential concept of the order of operations in mathematics using a fun and relatable scenario. Join Rita in her fish and chip shop as she takes various customer orders, each with specific quantities. Learn how to record and calculate these orders accurately by applying the agreed mathematical rules: Brackets, Indices, Multiply, Divide, Add, and Subtract. Through engaging examples and exercises, this blog will clarify any confusion over why sometimes there appear to be two possible answers in calculations.

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Understanding Order of Operations Through Rita's Fish and Chip Shop Orders

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

  2. 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

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

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

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

  6. 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

  7. 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

  8. 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

  9. 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

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

  11. 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

  12. 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) www.mathssandpit.co.uk/blog Multiply Divide Add Subtract • Remember: No swapping where the numbers go

  13. 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

  14. 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 • 6 • 8 • 18 www.mathssandpit.co.uk/blog

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