1. ORDER OF OPERATIONS
LESSON 2

2. Rules for BEDMAS Rule 1: Simplify all operations inside parentheses.
Rule 2:   Simplify all exponents, working from left to right.
Rule 3:   Perform all multiplications and divisions, working from left to right.
Rule 4:   Perform all additions and subtractions, working from left to right.

3. BEDMAS B – Brackets E – Exponents D – Division from left to right
M – Multiply from left to right
A – Add from left to right
S – Subtract from left to right

4. EXAMPLE 1 Evaluate this arithmetic expression 18 + 36 ÷ 32 SOLUTION:
= ÷ 9
Simplify all exponents ( Rule 2)

5. EXAMPLE 1 Evaluate this arithmetic expression 18 + 36 ÷ 32 SOLUTION:
= ÷ 9
Simplify all exponents ( Rule 2)
÷ 9 =
Division ( Rule 3)

6. EXAMPLE 1 Evaluate this arithmetic expression 18 + 36 ÷ 32 SOLUTION:
= ÷ 9
Simplify all exponents ( Rule 2)
÷ 9 =
Division ( Rule 3)
18 + 4
= 22
Addition ( Rule 4)

7. EXAMPLE 2
Evaluate 52 x 24
Solution:
52 x 24
Copy Question Down

8. EXAMPLE 2 Evaluate 52 x 24 Solution: 52 x 24 Copy Question Down
Simplify Exponent ( Rule 2 )

9. EXAMPLE 2 Evaluate 52 x 24 Solution: 52 x 24 Copy Question Down
Simplify Exponent ( Rule 2 )
= 25 x 16

10. EXAMPLE 2 Evaluate 52 x 24 Solution: 52 x 24 Copy Question Down
Simplify Exponent ( Rule 2 )
= 25 x 16
= 400
Multiplication ( Rule 3 )

11. EXAMPLE 3
EVALUATE 289 – (3 X 5)2

12. EXAMPLE 3 EVALUATE 289 – (3 X 5)2 SOLUTION: 289 – (3 x 5)2
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13. EXAMPLE 3 EVALUATE 289 – (3 X 5)2 SOLUTION: 289 – (3 x 5)2
Copy Question Down
= 289 – (15)2
Simplify Parentheses ( Rule 1)

14. EXAMPLE 3 EVALUATE 289 – (3 X 5)2 SOLUTION: 289 – (3 x 5)2
Copy Question Down
= 289 – (15)2
Simplify Parentheses ( Rule 1) =
Simplify Exponents ( Rule 2)

15. EXAMPLE 3 EVALUATE 289 – (3 X 5)2 SOLUTION: 289 – (3 x 5)2
Copy Question Down
= 289 – (15)2
Simplify Parentheses ( Rule 1) =
Simplify Exponents ( Rule 2)
= 64
Subtraction ( Rule 4)

16. EXAMPLE 4
EVALUATE 8 + (2 x 5) x 34 ÷ 9

17. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 34 ÷ 9 SOLUTION: 8 + (2 x 5) x 34 ÷ 9
Copy Down Question

18. EXAMPLE 4 8 + (2 x 5) x 34 ÷ 9 EVALUATE 8 + (2 x 5) x 34 ÷ 9
SOLUTION:
8 + (2 x 5) x 34 ÷ 9
Copy Down Question
= 8 + (10) x 34 ÷ 9
Simplify Parentheses(Rule 1 )

19. EXAMPLE 4 8 + (2 x 5) x 34 ÷ 9 EVALUATE 8 + (2 x 5) x 34 ÷ 9
SOLUTION:
8 + (2 x 5) x 34 ÷ 9
Copy Down Question
= 8 + (10) x 34 ÷ 9
Simplify Parentheses(Rule 1)
= 8 + (10) x 81 ÷ 9
Simplify Exponents ( Rule 2)

20. EXAMPLE 4 8 + (2 x 5) x 34 ÷ 9 EVALUATE 8 + (2 x 5) x 34 ÷ 9
SOLUTION:
8 + (2 x 5) x 34 ÷ 9
Copy Down Question
= 8 + (10) x 34 ÷ 9
Simplify Parentheses(Rule 1)
= 8 + (10) x 81 ÷ 9
Simplify Exponents ( Rule 2)
= ÷ 9
Perform all Multiplications and Divisions, working from left to right ( Rule 3)

21. EXAMPLE 4 8 + (2 x 5) x 34 ÷ 9 EVALUATE 8 + (2 x 5) x 34 ÷ 9
SOLUTION:
8 + (2 x 5) x 34 ÷ 9
Copy Down Question
= 8 + (10) x 34 ÷ 9
Simplify Parentheses(Rule 1)
= 8 + (10) x 81 ÷ 9
Simplify Exponents ( Rule 2)
= ÷ 9
Perform all Multiplications and Divisions, working from left to right ( Rule 3) =

22. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 34 ÷ 9 SOLUTION: 8 + (2 x 5) x 34 ÷ 9
Copy Down Question
= 8 + (10) x 34 ÷ 9
Simplify Parentheses(Rule 1)
= 8 + (10) x 81 ÷ 9
Simplify Exponents ( Rule 2)
= ÷ 9
Perform all Multiplications and Divisions, working from left to right ( Rule 3) =
= 98
Addition ( Rule 4 )

23. YOU TRY THESE 1) 32 x 43 2) 27 – 256 ÷ 43 3) 9 x (5 + 3)2 – 144

24. 1) 32 x 43 Solution: 32 x 43 Copy Question Down = 9 x 64
Simplify Exponents (Rule 2)
= 576
Multiplication ( Rule 3 )

25. 2) 27 – 256 ÷ 43 Solution: 27 – 256 ÷ 43 Copy Question Down
= 27 – 256÷64
Simplify Exponents (Rule 2)
= 27 – 4
Division ( Rule 3 )
= 23
Subtraction ( Rule 4 )

26. 3) 9 x (5 + 3)2 – 144 Solution: 9 x (5 + 3)2 – 144 Copy Question Down
Simplify Parentheses ( Rule 1)
= 9 x
Simplify Exponents ( Rule 2) =
Multiplication ( Rule 3 )
= 432
Subtraction ( Rule 4 )

27. 4) 7 + 3 x 24 ÷ 6 Solution: 7 + 3 x 24 ÷ 6 Copy Question Down
Simplify Exponents ( Rule 2)
= ÷ 6
Perform all Multiplications and Divisions, working from left to right ( Rule 3)
= 7 + 8
= 15
Addition ( Rule 4 )