Mental Math Everyone Take out a sheet of paper and Number your page 1-10 1. 22 +39= 2. 45 +38= 3. 56 +37= 4. 526 +48= 5. 329 +36= 6. 236 +120=

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Presentation transcript:

Mental Math Everyone Take out a sheet of paper and Number your page = = = = = =

= = = =

ORDER OF OPERATIONS LESSON 3

Where do I start? (10 ÷ 5) × 25 – 14=

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

EXAMPLE 1 Evaluate this arithmetic expression Evaluate this arithmetic expression ÷ ÷ 3 2 SOLUTION: SOLUTION: ÷ 3 2 = ÷ 9 Simplify all exponents ( Rule 2)

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

EXAMPLE 1 Evaluate this arithmetic expression Evaluate this arithmetic expression ÷ ÷ 3 2 SOLUTION: SOLUTION: ÷ 3 2 = ÷ 9 Simplify all exponents ( Rule 2) ÷ 9 = Division ( Rule 3) = 22 Addition ( Rule 4)

EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down

EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down = 25 x 2 4 Simplify Exponent ( Rule 2 )

EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down = 25 x 2 4 Simplify Exponent ( Rule 2 ) = 25 x 16 Simplify Exponent ( Rule 2 )

EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down = 25 x 2 4 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) = 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) = 64Subtraction ( Rule 4)

EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9

EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question

EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1 )

EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1) = 8 + (10) x 81 ÷ 9 Simplify Exponents ( Rule 2)

EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 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 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 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 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 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) 3 2 x 4 3 2) 27 – 256 ÷ 4 3 3) 9 x (5 + 3) 2 – 144 4) x 2 4 ÷ 6

1) 3 2 x 4 3 Solution: 3 2 x 4 3 Copy Question Down = 9 x 64 Simplify Exponents (Rule 2) = 576 Multiplication ( Rule 3 )

2) 27 – 256 ÷ 4 3 Solution: 27 – 256 ÷ 4 3 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) Simplify Parentheses ( Rule 1) = 9 x Simplify Exponents ( Rule 2) = Multiplication ( Rule 3 ) = 432 = 432 Subtraction ( Rule 4 )

4) x 2 4 ÷ 6 Solution: x 2 4 ÷ 6 Copy Question Down = x 16 ÷ 6 Simplify Exponents ( Rule 2) = ÷ 6 Perform all Multiplications and Divisions, working from left to right ( Rule 3) = = 15 = 15 Addition ( Rule 4 )