Does the Order Matter?

Transcription

1 LESSON 6 Does the Order Mtter? LEARNING OBJECTIVES Tody I : writing out exponent ultipliction. So tht I cn: develop rules for exponents. I ll know I hve it when I cn: solve proble like ( b) = b 5 0. Opening Activity You will need: Does the Order Mtter? sorting crds Source: dpted fro 5E Lesson Pln: Using Order of Opertions to Evlute nd Siplify Expressions, Pt Tyree 1. Rerrnge the crds so they ke sense. Discussion. When does the order of ctions tter in th? order tters when you hve coplicted eqution w ultiple opertions. Wht kind of th proble hs ultiple steps? ulti stepequtions. Does order tter in sequences or cn sequence be in ny order? sequence ens the order of ters ORDER MATTERS 75

2 76 Module Functions One wy to reeber the correct order in th expressions is with neonic (eory id) like the one shown on the right. 5. How does the phrse Plese Excuse My Der Aunt Sllie or PEMDAS help with order of opertions? PEMPAS Use to solve coplicted equtions different w opertions Since exponents pper often in theticl sequences nd expressions, let s review the exponent rules. Explortory Activity 6. A. With your prtner, fill in the tble below bout exponents nd then describe the Product Rule. Expression Repeted Multipliction Siplified For B. The Product Rule for Exponents: n 5 with

3 Unit 5 Functions nd Sequences Lesson 6 Does the Order Mtter? A. With your prtner, fill in the tble below bout exponents nd then describe the pttern you see. Expression with Exponents Siplified Expression without Exponents WARNING i negtive exponents 1 denet en i 0 negtive s l 1 B. The Negtive Exponent Rule: x = too zoo 1 X 8 I I 1 L 8. A. With your prtner, fill in the tble below bout exponents nd then describe the Division Rule. Expression Repeted Multipliction Siplified For IT t qq.gr s y I B. The Division Rule for Exponents: x = n x h

4 78 Module Functions 9. A. With your prtner, fill in the tble below bout exponents nd then describe the Zero Exponent Rule. Expression Repeted Multipliction Siplified For 9 9 5IEsE z I I I 9 90 I I l B. The Zero Exponent Rule: x 0 =, x fi 0. l 10. A. With your prtner, fill in the tble below bout exponents nd then describe the Power of Product or Quotient Rule. Expression Repeted Multipliction Siplified For ( ) (5 ) ( bc) ( x) ( ) c cbckbckbdcbdcbdsb.sc's x 61. x x x X EXEKEXEKEKE B. The Power of Product or Quotient Rule for Exponents: ( xy) = nd x y Xy x

5 Unit 5 Functions nd Sequences Lesson 6 Does the Order Mtter? A. With your prtner, fill in the tble below bout exponents nd then deterine the Power to Power Rule. Expression Repeted Multipliction Siplified For ( ) ( 5 ) ( b c ) 5 b 6 c B. The Power to Power Rule for Exponents: ( x ) n = Siplifying Prctice 1 1. Rewrite n 1 using the reverse of the quotient rule Cb'd bc7bc9be bed sblsc.io CHIEF.kz te5fs t18 X n 1. Wht is the siplified version of the expression () n1? 1. Siplify () n1 nd 5 () n1. n 15. Write rule for siplifying ny expression of the for b( ) 1. n 1 b() =

6 80 Module Functions 16. Siplify 1 n ( ) A. Siplify 1 n ( ) 1. B. Do you need to revise your rule fro Exercise 15? Explin. 18. Siplify ech of the following. ( ) A. 81 () n1 B n 1 C. 50 (5) n1 D ( ) n 1 E. () n1 F. 1 ( ) n 1

7 Unit 5 Functions nd Sequences Lesson 6 Does the Order Mtter? Coplete ech rule nd exple in the Lesson Sury. Lesson Sury Generl Rule Exple of the Rule Mth 1 Product Rule n Zero Exponent Rule 0 l 0 =, fi 0 = I Division Rule = n 6 n = 6 Power of Product Rule Power of Quotient Rule ( b) n 5 ( 5) 5 ( ) = 5 b n bn.5 ( ) = 5 D Negtive Exponent Rule Power to Power Rule 1 n 1 n n p b = = = h 1 = 1 O = n' = 6 pp 8 15 C i ( b p ) n 5 nbpn ( 5 6 )

8

9 Unit 5 Functions nd Sequences Lesson 6 Does the Order Mtter? 8 NAME: PERIOD: DATE: Hoework Proble Set Siplify ech expression so tht there re no negtive exponents. 1. ( xy ) 0. ( ) x. y x. 1 1 ( ) bc 5. bc b c bc d c 6. b 7. n MR n6 8. n p n p ( np ) 10. def 1 d e f 11. d d d 1. d d d d If e e ee 7 1. b b 1 1. ( ) b M MS E s

10 8 Module Functions 16. ( x ) x x 17. ( ) x x 18. x y x y z z y z s 19. ( A) 0. x 1. n n Deterine wht integer cn be plced in the blnk to ke the stteent true.. 1. b b b b = b ( ) = j7. b = b 5. ( b) = b 5 0

11 Unit 5 Functions nd Sequences Lesson 6 Does the Order Mtter? 85 Spirl REVIEW Order of Opertions 6. Four Nuber Ge: Use the nubers 1,, nd no ore thn once for ech proble. You y use ny opertions including powers nd prentheses. You y NOT crete -digit nuber (1 & 1). For exple, if the nuber ws 10, then we could do ny of the following: 1 10 or 10 or A. The nuber is 1: B. The nuber is 15: C. The nuber is 5: D. The nuber is : 7. Think bout order of opertions to insert prentheses to ke ech stteent true. If you re hving trouble reebering the Order of Opertions, wtch the YouTube video by Mth Antics A B C D. 1 5

12