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# 2.3 Order of Operations with Powers - PowerPoint PPT Presentation

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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Pg 63-68

### 2.3 Order of Operations with Powers

• 6 x (3 + 2) – 10 ÷ 2 = ?

• 5

• 10

• 15

• 25

• Hopefully you remember this:

• BEDMAS

• Brackets, Exponents, Divide, Multiply, Add, Subtract

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

• We need order of operations so that everyone can get the same answer all the time!

• 33 + 23

• We simply evaluate the powers before adding

• 33 + 23 =

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

= 27 + 8

= 35

• 3 - 23

• We simply evaluate the powers before subtracting

• 3- 23 =

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

= 3 - 8

= -5

• (3 + 2)3

• We add first since that is in the brackets

• (3+2)3 =

(5)3

= (5)(5)(5)

= 125

?

(3+2)3=33 + 23

• [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

• (182 + 50)2 ÷ (-5)3

=(324 + 1)2÷ (-5)3

=(325)2÷ (-5)3

=105625 ÷ (-125)

= -845

• 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

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?

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

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

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