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[SPAM] Re: [obm-l] Algarismos na base 7



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Ol=E1, Jo=E3o,

Usarei a seguinte nota=E7=E3o: (43-7) significa 43 na base 7.

Lembre-se de que as pot=EAncias de 7 s=E3o: 7, 49, 343, 2401,...

Note o seguinte: na representa=E7=E3o na base 7, os n=FAmeros:

(i) 1 a 6 ter=E3o 1 algarismo;

(ii) 7 a 48, ou (10-7) a (66-7) ter=E3o 2 algarismos;

(iii) 49 a 342, ou (100-7) a (666-7) ter=E3o 3 algarismos;

(iv) 343 a 2400, ou (1000-7) a (6666-7) ter=E3o 4 algarismos;

e assim por diante.

em (i), temos 6 n=FAmeros, cada um com 1 algarismo; gastam-se ent=E3o 6 =
algarismos aqui;

em (ii), temos 42 n=FAmeros (48 - 7 + 1), cada um com 2 algarismos; 42 x =
2 =3D84 algarismos aqui;

em (iii), temos 152 n=FAmeros (200 - 49 + 1), cada um deles com 3 =
algarismos; 152 x 3 =3D 456 algarismos aqui.

Total: 6 + 84 + 456 =3D 546 algarismos. LETRA D.

Fui claro?

Um abra=E7=E3o (meu xar=E1)

Jo=E3o Lu=EDs.
  ----- Original Message -----=20
  From: Jo=E3o Gabriel Preturlan=20
  To: obm-l@xxxxxxxxxxxxxx=20
  Sent: Monday, May 05, 2008 11:37 PM
  Subject: [obm-l] Algarismos na base 7


  Boa Noite....

  =20

  Preciso de ajuda, por favor:

  =20

  "Quantos algarismos na base 7 s=E3o necess=E1rios para enumerarmos um =
livro de 200 p=E1ginas?"

  =20

  a)404

  b)483

  c)492

  d)546

  e)638

  =20

  Desde j=E1 agrade=E7o pela boa vontade.

  =20

  JG.



  No virus found in this outgoing message.
  Checked by AVG.
  Version: 7.5.524 / Virus Database: 269.23.9/1416 - Release Date: =
05/05/2008 17:11


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<BODY lang=3DPT-BR vLink=3Dpurple link=3Dblue bgColor=3D#ffffff>
<DIV><FONT size=3D2>Ol=E1, Jo=E3o,</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Usarei a seguinte nota=E7=E3o: (43-7) significa 43 =
na base=20
7.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Lembre-se de que as pot=EAncias de 7 s=E3o: 7, 49, =
343,=20
2401,...</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Note o seguinte: na representa=E7=E3o na base 7, os=20
n=FAmeros:</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>(i) 1 a 6 ter=E3o 1 algarismo;</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>(ii) 7 a 48, ou (10-7) a (66-7) ter=E3o 2=20
algarismos;</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>(iii) 49 a 342, ou (100-7) a (666-7) ter=E3o 3=20
algarismos;</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>(iv) 343 a 2400, ou (1000-7) a (6666-7) ter=E3o 4=20
algarismos;</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>e assim por diante.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>em (i), temos 6 n=FAmeros, cada um com 1 algarismo; =
gastam-se=20
ent=E3o 6 algarismos aqui;</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>em (ii), temos 42 n=FAmeros (48 - 7 + 1), cada um =
com 2=20
algarismos; 42 x 2 =3D84 algarismos aqui;</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>em (iii), temos 152 n=FAmeros (200 - 49 + 1), cada =
um deles com=20
3 algarismos; 152 x 3 =3D 456 algarismos aqui.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Total: 6 + 84 + 456 =3D 546 algarismos. LETRA =
D.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Fui claro?</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Um abra=E7=E3o (meu xar=E1)</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Jo=E3o Lu=EDs.</FONT></DIV>
<BLOCKQUOTE dir=3Dltr=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
  <DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
  <DIV=20
  style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
  <A title=3Djgpreturlan@xxxxxxxxxx =
href=3D"mailto:jgpreturlan@xxxxxxxxxx";>Jo=E3o=20
  Gabriel Preturlan</A> </DIV>
  <DIV style=3D"FONT: 10pt arial"><B>To:</B> <A =
title=3Dobm-l@xxxxxxxxxxxxxx=20
  href=3D"mailto:obm-l@xxxxxxxxxxxxxx";>obm-l@xxxxxxxxxxxxxx</A> </DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Monday, May 05, 2008 =
11:37 PM</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Subject:</B> [obm-l] Algarismos na =
base=20
  7</DIV>
  <DIV><BR></DIV>
  <DIV class=3DSection1>
  <P class=3DMsoNormal>Boa Noite....<o:p></o:p></P>
  <P class=3DMsoNormal><o:p>&nbsp;</o:p></P>
  <P class=3DMsoNormal>Preciso de ajuda, por favor:<o:p></o:p></P>
  <P class=3DMsoNormal><o:p>&nbsp;</o:p></P>
  <P class=3DMsoNormal>=93Quantos algarismos na base 7 s=E3o =
necess=E1rios para=20
  enumerarmos um livro de 200 p=E1ginas?=94<o:p></o:p></P>
  <P class=3DMsoNormal><o:p>&nbsp;</o:p></P>
  <P class=3DMsoNormal>a)404<o:p></o:p></P>
  <P class=3DMsoNormal>b)483<o:p></o:p></P>
  <P class=3DMsoNormal>c)492<o:p></o:p></P>
  <P class=3DMsoNormal>d)546<o:p></o:p></P>
  <P class=3DMsoNormal>e)638<o:p></o:p></P>
  <P class=3DMsoNormal><o:p>&nbsp;</o:p></P>
  <P class=3DMsoNormal>Desde j=E1 agrade=E7o pela boa =
vontade.<o:p></o:p></P>
  <P class=3DMsoNormal><o:p>&nbsp;</o:p></P>
  <P class=3DMsoNormal>JG.<o:p></o:p></P></DIV><BR>
  <P><FONT size=3D2>No virus found in this outgoing message.<BR>Checked =
by=20
  AVG.<BR>Version: 7.5.524 / Virus Database: 269.23.9/1416 - Release =
Date:=20
  05/05/2008 17:11<BR></FONT></P></BLOCKQUOTE></BODY></HTML>

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