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Challenge Example

Calculate: 2 × (3 + 4)² ÷ 7 - √16 + 12 ÷ 3 × 2

Step 1 Brackets first

= 2 × 7² ÷ 7 - √16 + 12 ÷ 3 × 2

(3 + 4) = 7

Step 2 Indices (powers and roots)

= 2 × 49 ÷ 7 - 4 + 12 ÷ 3 × 2

7² = 49, √16 = 4

Step 3 Division and Multiplication (left to right)

= 98 ÷ 7 - 4 + 12 ÷ 3 × 2

= 14 - 4 + 4 × 2

= 14 - 4 + 8

2 × 49 = 98, 98 ÷ 7 = 14, 12 ÷ 3 = 4, 4 × 2 = 8

Step 4 Addition and Subtraction (left to right)

= 10 + 8 = 18

14 - 4 = 10, then 10 + 8 = 18

Answer: 18

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