What does PEMDAS stand for?: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
What does BODMAS stand for?: Brackets, Orders, Division and Multiplication, Addition and Subtraction
Which comes first, parentheses or exponents?: Parentheses
Which is done first, multiplication or division?: Whichever comes first, going left to right
Which is done first, addition or subtraction?: Whichever comes first, going left to right
Is multiplication always done before division?: No. They have equal rank; work left to right
2 + 3 × 4: 14
(2 + 3) × 4: 20
10 − 2 × 3: 4
(10 − 2) × 3: 24
8 ÷ 2 × 4: 16
8 ÷ (2 × 4): 1
12 − 4 + 2: 10
12 − (4 + 2): 6
3² + 4: 13
3 × 2²: 12
(3 × 2)²: 36
5 + 2³: 13
20 ÷ 5 + 3: 7
20 ÷ (5 + 3): 2.5
6 + 4 ÷ 2: 8
(6 + 4) ÷ 2: 5
2 × (3 + 4) − 5: 9
18 ÷ 3 × 2: 12
7 − 3 × 2 + 1: 2
4 + 6 × (5 − 3): 16
100 − 5²: 75
3 + 2 × 5²: 53
(8 − 2)² ÷ 4: 9
2 + 3 × 4 − 5: 9
9 − 3 ÷ 3 + 1: 9
5 × 4 ÷ 2 + 1: 11
−3²: −9
(−3)²: 9
6 ÷ 2(1 + 2): 9 by strict left-to-right; the notation is ambiguous, so write it clearly
Where do roots fit in PEMDAS?: With exponents
Where does the fraction bar fit?: It groups the top and bottom like parentheses
Evaluate (4 + 2) / (5 − 2): 2
Evaluate 2 + |3 − 5|: 4
√16 + 3 × 2: 10
Evaluate 5 + 3(2 + 1)²: 32

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