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F ISH S HOP M ATHS To understand and use the correct order of operations www.mathssandpit.co.uk/blog
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A MAN WALKS INTO A C HIP 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
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J OHN Three fish and four chips, ta! www.mathssandpit.co.uk/blog
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F REDDIE Sausage and chips twice, please! www.mathssandpit.co.uk/blog
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B RIAN Five fish and chips. Thanks! www.mathssandpit.co.uk/blog
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S O WHAT DID R ITA HAVE TO SERVE UP ? John Three fish and four chips, ta! 3 fish 4 portions of chips www.mathssandpit.co.uk/blog
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S O WHAT DID R ITA HAVE TO SERVE UP ? Freddie Sausage and chips twice, please! 1 sausage 2 portions of chips 2 sausages 2 portions of chips www.mathssandpit.co.uk/blog
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S O WHAT DID R ITA HAVE TO SERVE UP ? Brian Five fish and chips. Thanks 5 fish 5 portions of chips 5 fish 1 portion of chips www.mathssandpit.co.uk/blog
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C ONFUSED ? 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
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T RY THIS : Compare your answers with a partner 2 × 3 + 51 + 3 × 5 www.mathssandpit.co.uk/blog
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T HE SOLUTION All mathematicians in the world have agreed a set order to work out these calculations: Brackets Indices (Powers) MultiplyDivide SubtractAdd www.mathssandpit.co.uk/blog
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E XAMPLE 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) MultiplyDivide SubtractAdd www.mathssandpit.co.uk/blog Remember: No swapping where the numbers go
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Q UESTIONS A. 5 × (2 + 1) B. 5 × 2 + 1 C. 12 + 4 ÷ 2 D. (12 + 4) ÷ 2 E. 3 × 10 ÷ 5 F. 10 ÷ 5 × 3 G. 3 × 6 ÷ 2 - 1 H. 3 × 6 ÷ (2 - 1) www.mathssandpit.co.uk/blog
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A NSWERS (C LICK TO REVEAL ) A. 5 × (2 + 1) B. 5 × 2 + 1 C. 15 – 4 × 3 D. 12 + 4 ÷ 2 E. (12 + 4) ÷ 2 F. 3 × 10 ÷ 5 G. 10 ÷ 5 × 3 H. 3 × 6 ÷ 2 - 1 I. 3 × 6 ÷ (2 - 1) A. 15 B. 11 C. 3 D. 14 E. 8 F. 6 G. 6 H. 8 I. 18 www.mathssandpit.co.uk/blog
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