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Start Up # Evaluate the following: 500 (-5)3
(-5)3 Use powers of 10 to write each number: a) b)
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2.3 Order of Operations with Powers
Pg 63-68 2.3 Order of Operations with Powers
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This is a skill testing question
6 x (3 + 2) – 10 ÷ 2 = ? Which answer is correct? 5 10 15 25
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Order of Operations BEDMAS Hopefully you remember this:
Brackets, Exponents, Divide, Multiply, Add, Subtract
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B – Do the operations in brackets first E – Next, evaluate any exponents D M A S
Then, divide and multiply in order from left to right Then, add and subtract in order from left to right
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Why do we have to do this? We need order of operations so that everyone can get the same answer all the time!
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Adding & Subtracting with powers
We simply evaluate the powers before adding = (3)(3)(3) + (2)(2)(2) = = 35
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Adding & Subtracting with powers
3 - 23 We simply evaluate the powers before subtracting = (3) - (2)(2)(2) = 3 - 8 = -5
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Adding & Subtracting with powers
(3 + 2)3 We add first since that is in the brackets (3 +2)3 = (5)3 = (5)(5)(5) = 125
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Are these equal? ? (3+2)3 =
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Multiplying & Dividing with Powers
[2 x (-3)3 – 6]2 [2 x (-3)(-3)(-3) – 6]2 [2 x (-27) – 6]2 [-54 – 6]2 [-60]2 = (-60)(-60) = 3600
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Multiplying & Dividing with Powers
( )2 ÷ (-5)3 =( )2 ÷ (-5)3 =(325)2 ÷ (-5)3 = ÷ (-125) = -845
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Solving Problems Using Powers
Lyn has a square swimming pool, 2m deep with side length 4m. The swimming pool is joined to a circular hot tub, 1m deep with diameter 2m. Lyn adds 690g of chlorine to the pool and hot tub each week. This expression represents how much chlorine is present per 1 m3 of water: The suggested concentration of chlorine is 20g/m3 of water. What is the concentration of chlorine in Lyn’s pool and hot tub? Is it close to the suggested concentration
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What was the actual important info?
This rep’s the concentration of chlorine In g/m3 The suggested concentration is 20g/m3 What is the concentration of her hot tub and pool?
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Basically solve the equation
When an equation looks like this, first solve the numerator, and then solve the denominator, then divide.
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The suggested is 20g/m3 so this is pretty close
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Page 66-68 #3acegi, 4aceg, 5aceg,7, 10bdf, 12, 14ac
Homework Time Page #3acegi, 4aceg, 5aceg,7, 10bdf, 12, 14ac
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