1. ORDER OF OPERATIONS
LESSON 2a

2. 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

3. TRY THESE 1) (10 ÷ 5) × 25 - 14 2) 5 × 15 + (10 × 5)
3) (13 × 20) ×
4) ( 5 x 6)2 ÷ 9 + (6 ÷ 3)3

4. SOLUTIONS
(10 ÷ 5) × 25 – 14
(2) x 25 – 14
50 – 14 36

5. SOLUTION
5 × 15 + (10 × 5)
5 x
125

6. SOLUTION (13 × 20) + 2 + 2 × 20 + 12 + 15 260 + 2 + 2 x 20 + 12 + 15
329

7. SOLUTION ( 5 x 6)2 ÷ 9 + (6 ÷ 3)3 (30)2 ÷ 9 + (6 ÷ 3)3
(30)2 ÷ 9 + (2)3
900 ÷ 9 + (2)3
900 ÷ 9 + 8
108

8. ORDER OF OPERATIONS
LESSON 2b

9. RULES TO FOLLOW 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.

10. 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

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

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

13. 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)

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

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

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

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

18. EXAMPLE 3
EVALUATE 289 – (3 X 5)2

19. EXAMPLE 3 EVALUATE 289 – (3 X 5)2 SOLUTION: 289 – (3 x 5)2
Copy Question Down

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

21. 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)

22. 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)

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

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

25. 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 )

26. 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)

27. 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)

28. 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) =

29. 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 )

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

31. 1) 32 x 43 Solution: 32 x 43 Copy Question Down = 9 x 64
Simplify Exponents (Rule 2)
= 576
Multiplication ( Rule 3 )

32. 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 )

33. 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 )

34. 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 )