ORDER OF OPERATIONS
30
ORDER OF OPERATIONS LESSON 2
description
ORDER OF OPERATIONS. LESSON 2. Something to Think About: Does the order matter?. -5 + 4 = 10 – 3 + 1 = 4 x 6 ÷ 2 = 9 ÷ 3 x 6 = . 4 + (-5) = 1 – 3 + 10 = 4 ÷ 2 x 6 = 6 ÷ 3 x 9 = . How about now?. 5 x 2 – 4 = What would happen if we did the subtractions first/ 2 – 4 x 5 = - PowerPoint PPT Presentation
Transcript of ORDER OF OPERATIONS
ORDER OF OPERATIONS
LESSON 2
Something to Think About: Does the order matter?
-5 + 4 =
10 – 3 + 1 =
4 x 6 ÷ 2 =
9 ÷ 3 x 6 =
4 + (-5) =
1 – 3 + 10 =
4 ÷ 2 x 6 =
6 ÷ 3 x 9 =
How about now?
5 x 2 – 4 =
What would happen if we did the subtractions first/
2 – 4 x 5 =
So how do we know what to do first?
RULES TO FOLLOW• Rule 1:
– Simplify all operations inside brackets.• 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 – BracketsE – ExponentsD – Division from left to rightM – Multiply from left to rightA – Add from left to rightS – 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 )
Example 5
When you have a division questions like this, it is the same as having brackets around everything on the top and bottom.
32254
2
32
2542
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 )
