Precalculus Chapter P.2 Part 1 of 3. Mr. Chapman Manchester High School
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1 Preclculus Chpter P. Prt of Mr. Chpmn Mnchester High School
2 Eponents Scientific Nottion
3 Recll: ( ) () 5 ( )( )( ) ()()()() Consider epression n : Red s to the nth power. is clled the bse n is clled the eponent
4 Disclimer - For ll properties to follow: nd b represent rel numbers, vribles, or lgebric epressions. m nd n re integers. All denomintors nd bses re non-zero.
5 Eponents: # Propert Emple n m n m n m n m n n n 0, ) (
6 Eponents: # Propert Emple m m m b b ) ( n m n m 5 5 m m m b b ) ( ) ( 5 8
7 Chllenge Question! Does (-) -? (- ) (-) () ()( 6) 6 6 NO!! (-)() (-)(6)
8 E. : Use Properties to Simplif:. b b b b Commuttive Propert of Multipliction b b Associtive Propert of Multipliction Associtive Propert of Multipliction b b Eponents (#) Additive Inverse Addition nd Associtive Propert of Multipliction b b b
9 E. : Use Properties to Simplif: b. Eponents (#5) Eponents (#6) Multipliction 6 Evlution Associtive Propert of Multipliction
10 E. : Use Properties to Simplif: c. 0 Eponents (#6) Eponents (#5) Multipliction Eponents (#) Associtive nd Commuttive Properties of Multipliction 0 0 Multipliction nd Associtive Propert of Multipliction
11 E. : Use Properties to Simplif: d. Eponents (#6) Multipliction 5 Evlution nd Associtive Propert of Multipliction 5 5 Eponents (#5 & #7) Multiplictive Inverse Multiplictive Inverse
12 E. : Use Properties to Simplif: e. Multiplictive Inverse nd Commuttive Propert of Multipliction Eponents (#5) Eponents (#) Eponents (#5) Multiplictive Inverse nd Associtive Propert of Multipliction
13 E. : Use Properties to Simplif: e. Eponents (#5 & #7) Multipliction nd Evlution 9
14 E. : Rewrite with Positive Eponents:. Eponents (#) b. ( ) Eponents (#)
15 E. : Rewrite with Positive Eponents: c. b b bb b 5 b 5 5 b 5 From Previous: Negtive eponents on top go to bottom s positive eponents. Negtive eponents on bottom go to bottom s positive eponents. Eponents (#) Addition Simplif
16 E. : Rewrite with Positive Eponents: d. 9 Eponents (#) Eponents (#5 & 7) Eponents (#6) Multipliction nd Evlution
17 Eponents Scientific Nottion
18 Recll: , ,000 Consider some rel number, s : ,000. 0,000. Deciml moved 0 plces. Deciml moved plce to the right. Deciml moved plce to the right. Deciml moved plce to the right. Deciml moved plce to the right.
19 Consider the number of gllons of wter on erth cn now be written s: 6,000,000,000,000,000, Stndrd Form: Onl one non-zero digit to left of deciml point: 9.60 Not In Stndrd Form: Too mn digits to the left of the deciml Not In Stndrd Form: Digit on left of deciml is zero.
20 Recll: Agin, for some rel number, s : Deciml moved plce to the left. Deciml moved plce to the left. Deciml moved plce to the left.
21 Consider the mss, in grms, of one electron cn now be written s: Stndrd Form: Onl one non-zero digit to left of deciml point: Not In Stndrd Form: Too mn digits to the left of the deciml Not In Stndrd Form: Digit on left of deciml is zero.
22 E. : Scientific Nottion to Deciml Form The eponent is positive so the epression represents number with mgnitude greter thn So, remove the eponentil prt, Then move the deciml point two plces in the direction tht results in number with mgnitude greter thn. c The eponent is negtive so the epression represents number with mgnitude less thn So, remove the eponentil prt, Then move the deciml point si plces in the direction tht results in number with mgnitude less thn.
23 E. : Deciml Form to Scientific Nottion b d. 8 86,00,
24 E. : Scientific Nottion Using Clcultor. 86,500, E where E b E.E9.0.E EE EE
25 Homework: Pg. : - Odd 05- Odd
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