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2.3 Order of Operations with Powers

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Pg 63-68. 2.3 Order of Operations with Powers. This is a skill testing question. 6 x (3 + 2) – 10 ÷ 2 = ? Which answer is correct? 5 10 15 25. Order of Operations. Hopefully you remember this: BEDMAS B rackets, E xponents, D ivide, M ultiply, A dd, S ubtract.

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Presentation Transcript
this is a skill testing question
This is a skill testing question
  • 6 x (3 + 2) – 10 ÷ 2 = ?
  • Which answer is correct?
    • 5
    • 10
    • 15
    • 25
order of operations
Order of Operations
  • Hopefully you remember this:
  • BEDMAS
  • Brackets, Exponents, Divide, Multiply, Add, Subtract
slide4

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

why do we have to do this
Why do we have to do this?
  • We need order of operations so that everyone can get the same answer all the time!
adding subtracting with powers
Adding & Subtracting with powers
  • 33 + 23
  • We simply evaluate the powers before adding
  • 33 + 23 =

(3)(3)(3) + (2)(2)(2)

= 27 + 8

= 35

adding subtracting with powers1
Adding & Subtracting with powers
  • 3 - 23
  • We simply evaluate the powers before subtracting
  • 3- 23 =

(3) - (2)(2)(2)

= 3 - 8

= -5

adding subtracting with powers2
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

are these equal
Are these equal?

?

(3+2)3=33 + 23

multiplying dividing with powers
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

multiplying dividing with powers1
Multiplying & Dividing with Powers
  • (182 + 50)2 ÷ (-5)3

=(324 + 1)2÷ (-5)3

=(325)2÷ (-5)3

=105625 ÷ (-125)

= -845

solving problems using powers
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
what was the actual important info
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?

basically solve the equation
Basically solve the equation

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

homework time
Homework Time
  • Page 66-68 #3acegi, 4aceg, 5aceg,7, 10bdf, 12, 14ac, 18, 20
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