# ORDER OF OPERATIONS LESSON 2a.

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ORDER OF OPERATIONS LESSON 2a

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

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

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

SOLUTION 5 × 15 + (10 × 5) 5 x 125

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

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

ORDER OF OPERATIONS LESSON 2b

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.

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

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

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

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)

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

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

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

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

EXAMPLE 3 EVALUATE 289 – (3 X 5)2

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

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

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)

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)

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

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

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 )

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)

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)

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) =

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 )

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

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

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 )

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 )

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 )