Rules
What does PEMDAS stand for?
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
(4 + 6) × 2
10 × 2 = 20
3² or (3 x 3)
9
2 × 3 + 2
2 × 3 + 2
6 + 2 = 8
Cho
6 + 3 x 2?
Multiply first, so 3 × 2 = 6 → 6 + 6 = 12
7 x (5 - 3) + 4
7 x (5 - 3) + 4
7 x 2 + 4
7 × 2 = 14
14 + 4 = 18
5³ = 5 x 5 x 5 = ____
125
10 × 3 − 5
10 × 3 − 5
30 − 5 = 25
Why does PEMDAS never get into arguments?
Because it always handles things in the right order.
True or False: Multiplication always comes before Division.
False --> they go left to right.
(8 − 2) ÷ 3 + 1
(8 − 2) ÷ 3 + 1
6 ÷ 3 = 2
2 + 1 = 3
4 + 2² × 3
4 + 2² × 3
2² = 4
4 × 3 = 12
4 + 12 = 16
4² + 6
4² + 6
16 + 6 = 22 ✅
PEMDAS doesn’t like drama —
It deals with __________ first.”
parentheses
18 − 6 ÷ 3 + 2²
Exponent first → 22 = 42² = 422 = 4
Now the problem becomes:
18 − 6÷ 3+418 - 6 ÷ 3 + 418 − 6 ÷ 3 + 4Division (left to right) → 6 ÷ 3 = 26 ÷ 3 = 26 ÷ 3 =2
Now:
18 − 2+ 418 - 2 + 418 − 2 + 4Subtraction & Addition (left to right)
18 − 2 = 1618 - 2 = 1618 − 2 = 16
16 + 4 = 2016 + 4 = 2016 + 4 = 20
Final Answer: 20
2(4 + 3) − 5
2(4 + 3) − 5
2 × 7 = 14
14 − 5 = 9
(2 + 3)²
(2 + 3)²
5² = 5 x 5 = 25
24 ÷ 4 + 3
24 ÷ 4 + 3
6 + 3 = 9 ✅
Your “E” in PEMDAS — Exponents.
Exponents — they go up (powers), and PEMDAS never lets them come back down the order.
(8 + 4) ÷ 2 × 3 − 5
Parentheses first → 8+4=128 + 4 = 128+4=12
Now:
12÷2×3−512 ÷ 2 × 3 - 512÷2×3−5Division (left to right) → 12÷2=612 ÷ 2 = 612÷2=6
Multiplication → 6×3=186 × 3 = 186×3=18
Subtraction → 18−5=1318 - 5 = 1318−5=13
Final Answer: 13
(9 − 3)² ÷ 6
(9 − 3)² ÷ 6
6² = 36
36 ÷ 6 = 6
10 − 2³ × 2
10 − 2³ × 2
2³ = 8
8 × 2 = 16
10 − 16 = −6
(5 × 3 − 4) × 2
(5 × 3 − 4) × 2
15 − 4 = 11
11 × 2 = 22
How many of you are there?
There are two of me —
because in PEMDAS it’s M & D (Multiply and Divide) and A & S (Add and Subtract) — and they travel in pairs like troublemakers.