I used this to help my students arrive at the correct answer with multiple operations in one calculation. Hope it helps someone out there

1. MATHEMATICS
ORDER OF OPERATIONS

2. ORDER OF
OPERATIONS
 Accurate calculations depend on careful use of
arithmetic operations +, x, ÷, - .
 These operations must be performed in a certain
order when there are two or more operations in
the same problem.
 The rules that describe that order are called the
ORDER OF OPERATIONS.

3. ORDER OF OPERATIONS STATE THAT:
1. All operations must be
performed from left to right.
2. Do all work grouped in
parenthesis (brackets) first,
working from the innermost
brackets first.
3. If there are no brackets and
there are x and ÷ signs, insert
brackets around the terms with
these signs and calculate.
4. Multiply and divide as
indicated from left to right.
5. Add and subtract as indicated
from left to right.

4. EXAMPLE 1
5 + 7 x 3 There are no brackets in this problem, so insert your brackets.
 5 + (7x 3)
 Multiply 7 x 3 = 21
 Add 5 + 21 = 26
 The result is 26

5. EXAMPLE 2
 3 (5 + 7)
 First add the numbers in the
brackets
 5+7 = 12
 Next, multiply 3 x 12
 The result is 36

6. EXAMPLE 3
 8 + 15 ÷ 3 x 2 – 12
 There are no brackets in this problem so insert brackets
 8 + (15 ÷ 3 x 3) – 12
 =
15
3
x
2
1
= 10
 8 + 10 – 12
 18 – 12
 = 6
 The result is 6

7. REMEMBER
 If a problem to be solved has a number
sitting beside the bracket no operation,
multiply the number outside the bracket
by the value of the numbers inside the
bracket or parenthesis.
 Example: 5 (6x 3)
 = 5 x ( 6x3)
 = 5 (18)
 = 90

8. MNEMONICS TO HELP YOU
REMEMBER ORDER OF OPERATIONS
 BOMDAS: Brackets of Multiplication
Division Addition Subtraction
 BODMAS: Brackets , Order or pOwers,
Division, Multiplication, Addition,
Subtraction
 PEMDAS: Parenthesis, Exponents,
Multiplication, Division, Addition,
Subtraction

9. PEMDAS SONG
 Parenthesis first
 Exponents next
 Multiplication and Division in the same step
 Addition and Subtraction if you’ve got the nerve
 From left to right
 First come first serve
This Photo by Unknown Author is licensed under CC BY-ND

10. WATCH VIDEO

11. CLICK THE LINK TO WATCH PEMDAS SONG
 https://www.youtube.com/watch?v=ZzeDWFhYv3E

12. ORDER OF
OPERATIONS
SONG

13. NOE LET US USE ORDER OF OPERATIONS TO SOLVE EACH
PROBLEM
 1. 5 + 9 ÷ 3 =
 2. 2 + 6 x 4 + 8 =
 3. 35 ÷ 7 x 10 + 29 =
 4. (4 + 9) x 5 =
 5. 12 – 3 – 2 =
 6. 12 + 7 - 9 =
 7. 8 x 3 + 6 ÷ 2 =