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AzzolinoRFind other digital manipulatives at: www.mathnstuff.com/math/xls/xls.htm#digitalm./Also see www.mathnstuff.com/papers/amtnj09.htm.PageContents%tocTable of Contents & Notes! This page contains "hot" cells.storageall manipulatives, tokensqBackup copies of each of the stacks of "manipulative graphics" are saved in the spread sheet on the storage page.$ To create your own pages of notes:H1st: Save this spreadsheet in a location you can find on your computer.2nd: Close this page.-3rd: Open the saved spreadsheet with Excel.X4th: Insert a new worksheet in the spreadsheet -- Insert, Worksheet, or Alt + I, then W.C5th: Name the page -- right-click the tab at the bottom, then name.?6th: Copy and paste material from other worksheets as desired.47th: Keep and edit this spreadsheet as needed but & @8th: Do not delete the original copyright & source information. slide.xls4This is page: www.mathnstuff.com/math/xls/slide.xls.dec frac*decimal and fraction addition, subtractionlog log slideThis line is an object and turned and stretched and used. that may be moved23 = 6log(23) = log(2) + log(3)* s[˺:hccB   vMU  dMbP?_*+%&?'?(?)?"B??F&U} m@} $ C} mC} C} $ C}  C}  $ C} @} $ @}  @} $ @} ($ ^} )$ Cv))@) ) );E);E)h)h)h)hE )hE )wE  )J  )hE ))JE );E);D);D);D);D);D);D);D);D);D))) )))),^^^^^^^^^^^^^^^^^^^( A @@ B@@@@@@ A@@B@@@@@@ DD DRDBDDDDDDDDDDDDDDDDD___________________( DD DRDBDDDDDDDDDDDDDDDDD___________________("FFFBFFFFFFGFFDF FFBFFFFFFGFFD"FFFBFFFFFFGFFD HD D DI ILDDDDD@DDDHDDDDDD___________________( H J D @I DL @@@@@@@@@HDDDDDD___________________( H J D DI DL DDKFD@DDDHDDDDDD___________________( J D DI D DDFFD L MMNO H J D DI D L DDKFD@DDDHDDDDDD___________________( @@@@@@@@@@ D D TDDDDDDDDDDDDDDDDDDDD___________________(XDDDDDDDDDDDDDDQRRSDDDD___________________( D T UUV,___________________( D T UUV,___________________( D T UUV,___________________( D T UUV,___________________( D T UUV,___________________( DTUUV,___________________( DTUUV,___________________( DTUUV,___________________( DTUUV,___________________(@@@@@@@@@@ WXXY@@@@@@@@@@ WXXY@@@@@@@@@@ Z[[\@@@@@@@@@@ @@@@@@@@@@ @@@@@@@@@@ @@@@@@@@@@ D l0@rr&:&lp\\\\\\PPPP000 )@!)@")@#)@$)@%)@&)@')@()@))@*)@+)@,)@-)@.)@/)@0)@1)@2)@3)@4)@5)@6)@7)@8)@9)@:)@;)@<)@=)@>)@?)@, ^^^^^^^^^^^^^^^^^^^(,!^^^^^^^^^^^^^^^^^^^(,"^^^^^^^^^^^^^^^^^^^(,#^^^^^^^^^^^^^^^^^^^(,$^^^^^^^^^^^^^^^^^^^(,%^^^^^^^^^^^^^^^^^^^(,&^^^^^^^^^^^^^^^^^^^(,'^^^^^^^^^^^^^^^^^^^(,(^^^^^^^^^^^^^^^^^^^(,)^^^^^^^^^^^^^^^^^^^(,*^^^^^^^^^^^^^^^^^^^(,+^^^^^^^^^^^^^^^^^^^(,,^^^^^^^^^^^^^^^^^^^(,-^^^^^^^^^^^^^^^^^^^(,.^^^^^^^^^^^^^^^^^^^(,/^^^^^^^^^^^^^^^^^^^(,0^^^^^^^^^^^^^^^^^^^(,1^^^^^^^^^^^^^^^^^^^(,2^^^^^^^^^^^^^^^^^^^(,3^^^^^^^^^^^^^^^^^^^(,4^^^^^^^^^^^^^^^^^^^(,5^^^^^^^^^^^^^^^^^^^(,6^^^^^^^^^^^^^^^^^^^(,7^^^^^^^^^^^^^^^^^^^(,8^^^^^^^^^^^^^^^^^^^(,9^^^^^^^^^^^^^^^^^^^(,:^^^^^^^^^^^^^^^^^^^(,;^^^^^^^^^^^^^^^^^^^(,<^^^^^^^^^^^^^^^^^^^(,=^^^^^^^^^^^^^^^^^^^(,>^^^^^^^^^^^^^^^^^^^(,?^^^^^^^^^^^^^^^^^^^(Dl0000000000000000000000000000000@)@A)@B)@C)@D)@E)@F)@G)@H)@I)@J)@K)@L)@M)@N)@O)@P)@Q)@R)@S)@T)@U)@V)@W)@X)@Y)@Z)@[)@\)@])@^)@_)@,@^^^^^^^^^^^^^^^^^^^(,A^^^^^^^^^^^^^^^^^^^(,B^^^^^^^^^^^^^^^^^^^(,C^^^^^^^^^^^^^^^^^^^(,D^^^^^^^^^^^^^^^^^^^(,E^^^^^^^^^^^^^^^^^^^(,F^^^^^^^^^^^^^^^^^^^(,G^^^^^^^^^^^^^^^^^^^(,H^^^^^^^^^^^^^^^^^^^(,I^^^^^^^^^^^^^^^^^^^(,J^^^^^^^^^^^^^^^^^^^(,K^^^^^^^^^^^^^^^^^^^(,L^^^^^^^^^^^^^^^^^^^(,M^^^^^^^^^^^^^^^^^^^(,N^^^^^^^^^^^^^^^^^^^(,O^^^^^^^^^^^^^^^^^^^(,P^^^^^^^^^^^^^^^^^^^(,Q^^^^^^^^^^^^^^^^^^^(,R^^^^^^^^^^^^^^^^^^^(,S^^^^^^^^^^^^^^^^^^^(,T^^^^^^^^^^^^^^^^^^^(,U^^^^^^^^^^^^^^^^^^^(,V^^^^^^^^^^^^^^^^^^^(,W^^^^^^^^^^^^^^^^^^^(,X^^^^^^^^^^^^^^^^^^^(,Y^^^^^^^^^^^^^^^^^^^(,Z^^^^^^^^^^^^^^^^^^^(,[^^^^^^^^^^^^^^^^^^^(,\^^^^^^^^^^^^^^^^^^^(,]^^^^^^^^^^^^^^^^^^^(,^^^^^^^^^^^^^^^^^^^^(,_^^^^^^^^^^^^^^^^^^^(Dl0000000000000000000000000000000`)@a)@b)@c)@d)@e)@f)@g)@h)@i)@j)@k)@l)@m)@n)@o)@p)@q)@r)@s)@t)@u)@,`^^^^^^^^^^^^^^^^^^^(,a^^^^^^^^^^^^^^^^^^^(,b^^^^^^^^^^^^^^^^^^^(,c^^^^^^^^^^^^^^^^^^^(,d^^^^^^^^^^^^^^^^^^^(,e^^^^^^^^^^^^^^^^^^^(,f^^^^^^^^^^^^^^^^^^^(,g^^^^^^^^^^^^^^^^^^^(,h^^^^^^^^^^^^^^^^^^^(,i^^^^^^^^^^^^^^^^^^^(,j^^^^^^^^^^^^^^^^^^^(,k^^^^^^^^^^^^^^^^^^^(,l^^^^^^^^^^^^^^^^^^^(,m^^^^^^^^^^^^^^^^^^^(,n^^^^^^^^^^^^^^^^^^^(,o^^^^^^^^^^^^^^^^^^^(,p^^^^^^^^^^^^^^^^^^^(,q^^^^^^^^^^^^^^^^^^^(,r^^^^^^^^^^^^^^^^^^^(,s^^^^^^^^^^^^^^^^^^^(,t^^^^^^^^^^^^^^^^^^^(,u^^^^^^^^^^^^^^^^^^^(0000000000000000000000 (  ~B  @ D?Line 1^] `@5">@@5B57ggD    dMbP?_*+      !"#&%&?'?(?)?"??&U} $ >H  0(    jA  ?? 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