order of operations lesson 2a. bedmas b – brackets e – exponents d – division from left to...

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) + 2 + 2 × 20 + 12 + 15

• 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 15 + 50• 75 + 50• 125

SOLUTION

• (13 × 20) + 2 + 2 × 20 + 12 + 15• 260 + 2 + 2 x 20 + 12 + 15• 260 + 2 + 40 + 12 + 15• 262 + 40 + 12 + 15• 302 + 12 + 15• 314 + 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• 100 + 8• 108

ORDER OF OPERATIONSLESSON 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:

18 + 36 ÷ 32 = 18 + 36 ÷ 9 Simplify all exponents ( Rule 2)

EXAMPLE 1

• Evaluate this arithmetic expression

• 18 + 36 ÷ 32

• SOLUTION:

18 + 36 ÷ 32 = 18 + 36 ÷ 9 Simplify all exponents ( Rule 2)

18 + 36 ÷ 9 = 18 + 4 Division ( Rule 3)

EXAMPLE 1

• Evaluate this arithmetic expression

• 18 + 36 ÷ 32

• SOLUTION:

18 + 36 ÷ 32 = 18 + 36 ÷ 9 Simplify all exponents ( Rule 2)

18 + 36 ÷ 9 = 18 + 4 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

= 25 x 24 Simplify Exponent ( Rule 2 )

EXAMPLE 2

• Evaluate 52 x 24

• Solution:

52 x 24 Copy Question Down

= 25 x 24 Simplify Exponent ( Rule 2 )

= 25 x 16

Simplify Exponent ( Rule 2 )

EXAMPLE 2

• Evaluate 52 x 24

• Solution:

52 x 24 Copy Question Down

= 25 x 24 Simplify Exponent ( Rule 2 )

= 25 x 16

Simplify Exponent ( Rule 2 )

= 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)

= 289 - 225 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)

= 289 - 225 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

• 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

• 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

• 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)

= 8 + 810 ÷ 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)

= 8 + 810 ÷ 9 Perform all Multiplications and Divisions, working from left to right ( Rule 3)= 8 + 90

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)

= 8 + 810 ÷ 9 Perform all Multiplications and Divisions, working from left to right ( Rule 3)= 8 + 90

= 98 Addition ( Rule 4 )

YOU TRY THESE

• 1) 32 x 43

• 2) 27 – 256 ÷ 43

• 3) 9 x (5 + 3)2 – 144• 4) 7 + 3 x 24 ÷ 6

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

= 9 x (8)2 - 144 Simplify Parentheses ( Rule 1)

= 9 x 64 - 144 Simplify Exponents ( Rule 2)

= 576 - 144 Multiplication ( Rule 3 )

= 432 Subtraction ( Rule 4 )

4) 7 + 3 x 24 ÷ 6

• Solution:

7 + 3 x 24 ÷ 6 Copy Question Down

= 7 + 3 x 16 ÷ 6

Simplify Exponents ( Rule 2)

= 7 + 48 ÷ 6 Perform all Multiplications and Divisions, working from left to right ( Rule 3)= 7 + 8

= 15 Addition ( Rule 4 )