This document explains the order of operations, which is a set of rules for evaluating mathematical expressions with multiple operations. It introduces PEMDAS/GEMDAS as a mnemonic to remember the order: 1) Grouping symbols (parentheses), 2) Exponents, 3) Multiplication/Division (left to right), 4) Addition/Subtraction (left to right). Several examples are provided to demonstrate applying the order of operations to evaluate expressions step-by-step according to this sequence.

1. Order of
Operations
( ) +
X
-
43


2. The Order of
Operations tells us
how to do a math
problem with more
than one operation,
in the correct order.

3. Go Excuse My Dear
Aunt Sally
This will help to
you to remember
the order of
operations.

4. Add +
Subtract -
Multiply x
Divide 
Please Excuse My Dear Aunt Sally
G
E
M
D
A
S
Grouping ( )
Exponents 43

5. Please Excuse My Dear Aunt Sally
Grouping ( )
Always do
Grouping 1st.

6. Please Excuse My Dear Aunt Sally
Exponents 43
Always do
Exponents 2nd.

7. Multiply x
Divide 
Please Excuse My Dear Aunt Sally
Do multiplication
and division 3rd,
from left to right.

8. Add +
Subtract -
Please Excuse My Dear Aunt Sally
Do addition and
subtraction 4th, from
left to right.

9. Let’s Try
Some 
Problems!

10. GEMDAS
3+23- (9+1)
3+23- 10
3+8-10
11-10
1

11. GEMDAS
3 (9+1) + 62
3(10)+62
3(10)+36
30+36
66

12. gEMDAS
64  (9 x 3-19)
64(27 –19)
64  8
8

13. gEMDAS
4+5 x (6 - 2)
4+5 x 4
4+20
24

14. gEMDAS
4+ 10 x 23 -16
4+10 x 8 -16
4+ 80 -16
84-16
68

15. gEMDAS
21 + 102  10
21+10010
21 + 10
31

16. gEMDAS
10 + 72 - 2 x 5
10+49–2 x 5
10+49- 10
59 - 10
49

17. Have fun
doing the
Order of 
Operations!