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Start Up # Evaluate the following: 500 (-5)3

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Presentation on theme: "Start Up # Evaluate the following: 500 (-5)3"— Presentation transcript:

1 Start Up # Evaluate the following: 500 (-5)3
(-5)3 Use powers of 10 to write each number: a) b)

2 2.3 Order of Operations with Powers
Pg 63-68 2.3 Order of Operations with Powers

3 This is a skill testing question
6 x (3 + 2) – 10 ÷ 2 = ? Which answer is correct? 5 10 15 25

4 Order of Operations BEDMAS Hopefully you remember this:
Brackets, Exponents, Divide, Multiply, Add, Subtract

5 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

6 Why do we have to do this? We need order of operations so that everyone can get the same answer all the time!

7 Adding & Subtracting with powers
We simply evaluate the powers before adding = (3)(3)(3) + (2)(2)(2) = = 35

8 Adding & Subtracting with powers
3 - 23 We simply evaluate the powers before subtracting = (3) - (2)(2)(2) = 3 - 8 = -5

9 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

10 Are these equal? ? (3+2)3 =

11 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

12 Multiplying & Dividing with Powers
( )2 ÷ (-5)3 =( )2 ÷ (-5)3 =(325)2 ÷ (-5)3 = ÷ (-125) = -845

13 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

14 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?

15 Basically solve the equation
When an equation looks like this, first solve the numerator, and then solve the denominator, then divide.

16 The suggested is 20g/m3 so this is pretty close

17 Page 66-68 #3acegi, 4aceg, 5aceg,7, 10bdf, 12, 14ac
Homework Time Page #3acegi, 4aceg, 5aceg,7, 10bdf, 12, 14ac


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