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Day 2 PEMDAS and Exponent Rules.notebook
WARMUP
1. Simplify: (­4)(­8)
2. Simplify:
3. Solve for x: 2x ­ 3 = 13 August 28, 2014
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
Order of Operations & Rules of Exponents
Why do we need an order of operations?
P
E
M/D
A/S
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
Exponents
35 ­ what does it mean?
What happens when you multiply two numbers with the same base?
x4(x3) =
Does this work if they are different bases?
Does it work if they are mixed up?
Does it work if you are ADDING two numbers with exponents?
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
1.1 Multiplying Powers with the Same Base
Rule 1:
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
Now that we know to add the exponents when we multiply..
x4(x0) = What does that tell us about x0?
Rule 7:
Day 2 PEMDAS and Exponent Rules.notebook
Your Turn:
Ex: 3x5y6(34x7y)=______
August 28, 2014
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
pg. 11
Day 2 PEMDAS and Exponent Rules.notebook
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What about power to a power?
(x3)2 =
Rule 3: pg. 14
Your Turn:
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
Power of a Product (xy2)3
Rule 4:
Does this work for addition?
Your Turn:
Ex: (5x­2y3)­2
Ex: (3x3y11)4
Day 2 PEMDAS and Exponent Rules.notebook
Now that we know that anything to the zero power is 1, look at this problem:
41(4­1) = 40 = 1 So what does 4­1= ?
What about: 42(4­2) = 40 = 1
What does 4­2= ?
Rule 6:
Quite often, problems will say rewrite the answer using only positive exponents. In that case, you will need to move things around until the exponents are all positive.
Ex: 12­8(124)=______
Ex: 3x5y6(3­4x­7y)=______
What if you have 1 ?
x­5
August 28, 2014
Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
What about division?
x10
x7
Rule 2:
Your turn:
x3y11
Ex: x5y7
pg. 23
Day 2 PEMDAS and Exponent Rules.notebook
Power of a Quotient x
y2
Rule 5:
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Day 2 PEMDAS and Exponent Rules.notebook
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Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
Day 2 PEMDAS and Exponent Rules.notebook
Scientific Notation
Example 1
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pg. 6
Day 2 PEMDAS and Exponent Rules.notebook
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Day 2 PEMDAS and Exponent Rules.notebook
August 28, 2014
1.2
pg. 19