expression involving exponents with one operation

7/27/2019 Expression Involving Exponents With One Operation

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EXPRESSIONS INVOLVING EXPONENTS

Objective: Evaluate an expression involving exponents.

Try to see if you still recall the lessons in the !revious "o#ule$ Rea#the #irection carefully$ %rite your ans&er in your noteboo'

Choose the best multiplication phrase for each item. Write only the letter ofyour answer.

1) 48

A. 4 x 4 x 4 x 4. 8 x 8 x 8 x 8C. 4 x 4 x 4 x 4x 4 x 4 x 4 x 4!. 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8

") #$

A. $ x $ x $. # x # x #

C. $ x $ x $ x $ x $ x $!. # x # x # x # x # x #$) %"

A. " x ". % x %C. " x " x " x " x "!. % x % x % x % x %

4) &'

A. ' x ' x ' x ' x ' x ' x '. & x & x & x & x & x & x &C. ' x ' x ' x ' x ' x ' x ' x ' x '

!. & x & x & x & x & x & x & x & x &%) $4

A. $ x $ x $. 4 x 4 x 4C. $ x $ x $ x $!. 4 x 4 x 4 x 4

(var(www(apps(conversion(tmp(scratch$("$1%$%##%.*oc +rinte*, 4(1&("--% -&,$#,-- A /0er*ie

1

ReviewReview



2t is goo* to 3now that you can still give the correct multiplication phrase forthe given exponent forms in the review. his time will try to evaluate theexponent forms of numbers.

When we E5A67AE we are getting the single number or the value that ise9uivalent to the expression in exponent form. 2n short we are getting theanswer.

6et us ta3e the expressions given in the review an* evaluate each, 4 8 #$ %" &' an* $4 .

7sing the associative property of 48 : 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4ultiplication 48 : ;4x4) x ;4x4) x ;4x4) x ;4x4)

48 : 1# x 1# x 1# x 1#<rouping it further we get, 48 : ;1# x 1#) x ;1# x 1#)

48 : "%# x "%# 48 : #%%$#

herefore the value of 48 is #%%$#.

6et us use #$ as our secon* example. 6et us evaluate #$ step=by=step.

#$ : # x # x ##$ : ;# x #) x ##$ : $# x #

#$ : "1#

herefore the value of #$ is "1#.

>ow try to evaluate %" on your own.

%" : % x %%" :

!i* you get "%? hen you are correct@he value of %" is "%.


"

StudyStudy



>ow try to evaluate the following by filling up the blan3s with the correctnumbers.

&' : & x & x & x & x & x & x &

&' : ; x ) x ; x ) x ; x ) x &' : x x x &' : ; x ) x ; x )&' : x &' :

$4 : x x x $4 : ; x ) x ; x )$4 : x $4 :

!i* you get &' : 4'8"&#& an* $4 : 81? 2f you *i* then <oo* Wor3@2f you *i* not get the answers correctly try to compare these step=by=stepsolutions to what you *i*. ou may Bust have *one some steps incorrectly.

&' : & x & x & x & x & x & x &&' : ;& x &) x ;& x &) x ;& x &) x &&' : 81 x 81 x 81 x &&' : ;81 x 81) x ;81 x &)&' : #%#1 x '"&&' : 4'8"&#&

$4 : $ x $ x $ x $$4 : ;$ x $) x ;$ x $)$4 : & x &$4 : 81

ry to *o these two expressions on your own now. emember practicema3es perfect@

1) "#

") '%

!i* you get #4 an* 1#8-'? 2f you *i* well *one@ ou are rea*y for somepractice. 2f you *i* not get the answers go bac3 to your solutions an* try tosee where you might have ma*e an incorrect step.


$



Evaluate the following by showing the step=by=step solution. Write the answerin your noteboo3.

1) 8%

") 1-4

$) 11$

4) 4&

%) %%

o chec3 your answer get the answer 3ey from your teacher.

2f you got "-="% points you can answer Dn our Dwn. ea* Wrap 7p first.

2f you got -=1& points go bac3 to the lesson an* try to *o over the exercises.

o evaluate an expression in exponent form,

1) rewrite as a multiplication phrase") use the associative property of multiplication to group the factors$) get the partial pro*ucts of the groupe* factors4) group the factors again if necessary%) get the pro*uct of the two remaining factors.

he pro*uct of the two remaining factors is the value of the expression inexponent form.


4

PracticePractice

ry these

Dn our Dwn

Wrap 7p



ee of you really un*erstoo* the lesson.

Evaluate each expression. Write the answers in your noteboo3.

1) "'

") $%

$) 4#

4) 1"$

%) 1-&

o chec3 your wor3 as3 the answer 3ey from your teacher.

2f you got 4=% points you can procee* to the next 6esson

2f you got -=$ points review again the previous lesson rea* the Wrap 7p an**o again the items in this exercise.


%

Test YourselfTest Yourself

Dn our Dwn



Answer Feys

<ive yourself 1 point for every correct answer.

1) C ") $) 4) %) C

coring, % items x 1 point : % points in all

<ive 4 points for the correct solution an* 1 point for the correct answer.

1) 8% : 8 x 8 x 8 x 8 x 88% : ;8 x 8) x ;8 x 8) x 8 8% : #4 x #4 x 8

8% : ;#4 x #4) x 8 8% : 4-&# x 8 8% : $"'#8

or

8% : 8 x 8 x 8 x 8 x 8

8% : ;8 x 8) x ;8 x 8) x 8 8% : #4 x #4 x 8 8% : #4 x ;#4 G 8) 8% : #4 x %1" 8% : $"'#8

") 1-4 : 1- x 1- x 1- x 1- 1-4 : ;1- x 1-) x ;1- x 1-) 1-4: 1-- G 1-- 1-4 : 1----

$) 11$ : 11 x 11 x 1111$ : ;11 x 11) x 11

11$ : 1"1 x 11 11$ : 1$$1

4) 4& : 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 4& : ;4 x 4) x ;4 x 4) x ;4 x 4) x ;4 x 4) x 4 4& : 1# x 1# x 1# x 1# x 4 4& : ;1# x 1#) x ;1# x 1#) x 4 4& : ;"%# x "%#) x 4

4

&

: #%%$# x 44& : "#"144


#

eview

ry hese



or

4& : 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 4& : ;4 x 4) x ;4 x 4) x ;4 x 4) x ;4 x 4) x 4 4& : 1# x 1# x 1# x 1# x 4

4& : 1# x ;1# x 1#) x ;1# x 4) 4& : ;1# x "%#) x #4 4& : 4-&# x #4

4& : "#"144

or 4& : 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 4& : ;4 x 4) x ;4 x 4) x ;4 x 4) x ;4 x 4) x 4 4& : 1# x 1# x 1# x 1# x 4 4& : 1# x ;1# x 1#) x ;1# x 4) 4& : 1# x ;"%# x #4)

4& : 1# x 1#$844& : "#"144

%) %% : % x % x % x % x %%% : ;% x %) x ;% x %) x %

%% : "% x "% x % %% : ;"% x "%) x % %% : #"% x % %% : $1"%or

%% : % x % x % x % x %%% : ;% x %) x ;% x %) x %

%% : "% x "% x % %% : ;"% x "%) x % %% : #"% x % %% : $1"%

coring, olutions, %items x 4 points : "- points Answer, % items x 1 point : % points total, : "% points

<ive 1 point to every correct answer.

1) "' : 1"8") $% : "4$$) 4# : 4-&#4) 1"$ : 1'"8

%) 1-& : 1---------

coring, % items x 1 point : % points


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Dn our Dwn

expression involving exponents with one operation

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