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