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Assignment 8 Order of operations Group number:______________________ Name:_______________________ Pre-read: We know that (5+7)+3=5+(7+3), for the associative property of addition. However, if one of your students tried solving (5 × 7) + 3 as 5 × (7 + 3) , how could you explain that this is wrong? Order of operations: Work within the inner most parentheses or brackets, 1. Evaluate all exponents. 2. Multiply and divide, working from left to right. 3. Add and subtract, working from left to right. Repeat this process until all calculations in parentheses and brackets are done. 4. Follow rules 1-3 for the remaining computations. Ex#1: Compute the following using the correct order of operations. Show and explain your each step. 1) 6 − 18 × 3 ÷ (− 4 + 3) + 7 × (− 1 + 2) 2) 12 − 3 2 + 2 × 5 3) 8 − (5 − 3) × − 1 ÷ 0 4) 10 × 5 − (6 − 2) ÷ 2 + 4 3 − 1 5) (− 7) 2 ÷ 7 2 + { − 4 × (− 3) − 5} 6) (− 6) 2 − (10 − 5 ÷ 1 ÷ 5) 7) { − 4 − 1 × (3 + 5)} ÷ 11 8) (2 + 3 − 11) × (− 5) − 9 − 3 2 9) 0 ÷ (− 2 ÷ 1 ) − 54 × (4 + 2) − 71 2 1 2 10) 12 − 3 + 2 × 5 − (− 15 − 7 × − 5) 4