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
