Learning Objective: Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/... ·...

NAME:___________________________ Math 7.1, Period 1 and 2 Mr. Rogove Date:__________ Lesson 59: Raising a base to the zeroth power 1 Learning Objective: We will raise bases to the zeroth power. (Lesson 59) Concept Development: Raising to the 0 th power: ! ! = ! Two explanations: 5 ! 5 ! = 5 !!! = 5 ! 5 ! 5 ! = 5 ∙ 5 ∙ 5 5 ∙ 5 ∙ 5 = 1 ! ! ∙ ! ! = ! !!! = ! ! , so ! ! must be 1 Rewriting Numbers Using Powers of 10 Think about place value when rewriting numbers: 1 = 10 ! 10 = 10 ! 100 = 10 ! 1000 = 10 ! 10,000 = 10 ! Example: 8,374 = 8×10 ! + 3×10 ! + 7×10 ! + 4×10 ! Guided Practice: Steps to Simplifying Exponents with Zero Exponents 1. Simplify all exponents. 2. Set numbers raised to the 0 th power equal to one. ! !" ! !" 6 !! 6 !! (7 123.456789 ! ) ! (6! ! ) !

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Transcript of Learning Objective: Concept Developmentmrrogove.weebly.com/uploads/4/3/0/0/43009773/... ·...

NAME:___________________________' ' Math'7.1,'Period'1'and'2'Mr.'Rogove' ' Date:__________'

Lesson'59:'Raising'a'base'to'the'zeroth'power'1'

'Learning Objective:'We'will'raise'bases'to'the'zeroth'power.'(Lesson'59)''Concept Development: !Raising!to!the!0th!power:!

!! = !!'Two'explanations:''

5!5! = 5!!! = 5!'

5!5! =

5 ∙ 5 ∙ 55 ∙ 5 ∙ 5 = 1'

!! ∙ !! = !!!! = !!!,!'''

so!!!!must!be!1!'

'''Rewriting!Numbers!Using!Powers!of!10!Think'about'place'value'when'rewriting'numbers:'

1 = 10!!'10 = 10!!'100 = 10!'1000 = 10!'10,000 = 10!!

''Example:'8,374 = 8×10! + 3×10! + 7×10! + 4×10! ''Guided Practice: Steps!to!Simplifying!Exponents!with!Zero!Exponents!1.'Simplify'all'exponents.'2.'Set'numbers'raised'to'the'0th'power'equal'to'one.''

!!"!!"'

6!!6!!'

(7 123.456789 !)!'''''

(6!!)!'

NAME:___________________________' ' Math'7.1,'Period'1'and'2'Mr.'Rogove' ' Date:__________'

Lesson'59:'Raising'a'base'to'the'zeroth'power'2'

Steps!to!Simplifying!Exponents!with!Zero!Exponents!1.'Simplify'all'exponents.'2.'Set'numbers'raised'to'the'0th'power'equal'to'one.''

4!!!!!! '

''''''

−12!!!! '

2! ∙ 12! ∙ 2! ∙ 12!'

''''''

!!"!!!" ∙

!!"!!"'

''''

'Steps!for!Rewriting!Numbers!using!Powers!of!10!1.''Identify'the'place'value'of'each'number'and'multiply'it'by'the'appropriate'power'of'10.'''

6,906,174!'''''''

326,103'

5×10! + 3×10! + 9×10! + 1×10!+ 5×10! + 2×10!+ 7×10! + 8×10! '

'''''

4×10! + 5×10! + 3×10!+ 9×10! + 8×10! '

NAME:___________________________' ' Math'7.1,'Period'1'and'2'Mr.'Rogove' ' Date:__________'

Lesson'59:'Raising'a'base'to'the'zeroth'power'3'

Independent Practice: 'Activating Prior Knowledge: We'know'the'rules'for'multiplying'and'dividing'exponents'

7!!7!!'

''''

12! ∙ 12!" ∙ 12!'

'''Closure: Hand'out'exit'Ticket' Teacher Notes: Fluency'sprint'toward'the'end.''Need'to'make'copies!!'Make'copies'of'exit'ticket.'''

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