Order of Operations

Algebra Level 1

Evaluate 5 + 3 × 12 ÷ [ 2 ( 1 + 1 ) ] 5 + 3\times 12\div [ 2 (1+1)] .


The answer is 14.

Arron Kau by Arron Kau

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1 solution

Arron Kau Staff
May 13, 2014

Following the order of operations, we have

5 + 3 × 12 ÷ [ 2 ( 1 + 1 ) ] = 5 + 3 × 12 ÷ [ 2 ( 2 ) ] = 5 + 3 × 12 ÷ 4 = 5 + 36 ÷ 4 = 5 + 9 = 14 \begin{aligned} 5 + 3\times 12\div [2 (1+1)] &= 5 + 3\times 12\div [2 (2)] \\ &= 5 + 3\times 12\div 4 \\ &= 5 + 36 \div 4 \\ &= 5 + 9\\ &= 14 \\ \end{aligned}

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