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[SPAM] Re: [obm-l] Questões do livro Álgebra I



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1)Seja N =3D abc o n=FAmero procurado temos cba - abc =3D 100c+ 10b + a - 1=
00a -
10b - c =3D99a - 99c =3D ..4, 99(a-c) =3D ..4,logo a -c =3D 6, temos 99 x 6=
 =3D 594

Em 29/01/08, gsrs@xxxxxxxxx <gsrs@xxxxxxxxx> escreveu:
>
> Ol=E1,
>
> Me chamo Gabriel e estou estudando por um livro antigo chamado =C1lgebra
> I dos professores Augusto C=E9sar Morgado, Eduardo Wagner e Miguel
> Jorge. Ainda no primeiro cap=EDtulo intitulado Os Inteiros e aborda o
> conjunto dos inteiros, ordem dos inteiros, princ=EDpio da boa
> ordena=E7=E3o, divisibilidade, n=FAmeros primos, mmc, mdc, algoritmo de
> euclides, fun=E7=E3o de euler, bases de numera=E7=E3o e congru=EAncias. T=
ive
> d=FAvidas em resolver as seguintes quest=F5es:
>
> 1=AA) Um n=FAmero de tr=EAs algarismos a, b e c (a>c) =E9 tal que, quando
> invertemos a ordem de seus algarismos e subtra=EDmos o novo n=FAmero do
> original, encontramos, na diferen=E7a, um n=FAmero terminado em 4. Essa
> diferen=E7a =E9 igual a:
>
> a) 954  b) 594  c) 454   d) 544  e) Imposs=EDvel calcular
>
>
> 2=AA) Se x pertence a {0, 1, 2, ..., 25}, para quantos valores de x, x2 +
> 3x + 2 =E9 m=FAltiplo de 6?
>
>
> 3=AA) O algarismo das unidades do n=FAmero (5837) elevado a 649 =E9:
>
> a) 1  b)3  c)5  d) 7  e) 9
>
> Conto c/ a ajuda de vcs.
>
>                                               Obrigado
>
> -------------------------------------------------------------------------=
-------
> Aqui na Oi Internet voc=EA ganha ou ganha. Al=E9m de acesso gr=E1tis com
> qualidade, ganha contas ilimitadas de email com 1 giga cada uma. Ganha
> espa=E7o ilimitado para hospedar sua p=E1gina pessoal. Ganha flog, suport=
e
> gr=E1tis e muito mais. Baixe gr=E1tis o Discador em
> http://www.oi.com.br/discador e comece a ganhar.
>
> Agora, se o seu neg=F3cio =E9 voar na internet sem pagar uma fortuna,
> assine Oi Internet banda larga e ganhe modem gr=E1tis. Clique em
> http://www.oi.com.br/bandalarga e aproveite essa moleza!
>
>
>
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
> Instru=E7=F5es para entrar na lista, sair da lista e usar a lista em
> http://www.mat.puc-rio.br/~obmlistas/obm-l.html
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
>

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1)Seja N =3D abc o n=FAmero procurado temos cba - abc =3D 100c+ 10b + a - 1=
00a - 10b - c =3D99a - 99c =3D ..4, 99(a-c) =3D ..4,logo a -c =3D 6, temos =
99 x 6 =3D 594<br><br>
<div><span class=3D"gmail_quote">Em 29/01/08, <b class=3D"gmail_sendername"=
><a href=3D"mailto:gsrs@xxxxxxxxx";>gsrs@xxxxxxxxx</a></b> &lt;<a href=3D"ma=
ilto:gsrs@xxxxxxxxx">gsrs@xxxxxxxxx</a>&gt; escreveu:</span>
<blockquote class=3D"gmail_quote" style=3D"PADDING-LEFT: 1ex; MARGIN: 0px 0=
px 0px 0.8ex; BORDER-LEFT: #ccc 1px solid">Ol=E1,<br><br>Me chamo Gabriel e=
 estou estudando por um livro antigo chamado =C1lgebra<br>I dos professores=
 Augusto C=E9sar Morgado, Eduardo Wagner e Miguel<br>
Jorge. Ainda no primeiro cap=EDtulo intitulado Os Inteiros e aborda o<br>co=
njunto dos inteiros, ordem dos inteiros, princ=EDpio da boa<br>ordena=E7=E3=
o, divisibilidade, n=FAmeros primos, mmc, mdc, algoritmo de<br>euclides, fu=
n=E7=E3o de euler, bases de numera=E7=E3o e congru=EAncias. Tive<br>
d=FAvidas em resolver as seguintes quest=F5es:<br><br>1=AA) Um n=FAmero de =
tr=EAs algarismos a, b e c (a&gt;c) =E9 tal que, quando<br>invertemos a ord=
em de seus algarismos e subtra=EDmos o novo n=FAmero do<br>original, encont=
ramos, na diferen=E7a, um n=FAmero terminado em 4. Essa<br>
diferen=E7a =E9 igual a:<br><br>a) 954&nbsp;&nbsp;b) 594&nbsp;&nbsp;c) 454&=
nbsp;&nbsp; d) 544&nbsp;&nbsp;e) Imposs=EDvel calcular<br><br><br>2=AA) Se =
x pertence a {0, 1, 2, ..., 25}, para quantos valores de x, x2 +<br>3x + 2 =
=E9 m=FAltiplo de 6?<br><br><br>3=AA) O algarismo das unidades do n=FAmero =
(5837) elevado a 649 =E9:<br>
<br>a) 1&nbsp;&nbsp;b)3&nbsp;&nbsp;c)5&nbsp;&nbsp;d) 7&nbsp;&nbsp;e) 9<br><=
br>Conto c/ a ajuda de vcs.<br><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;Obrigado<br>----------------------------------------------------=
----------------------------<br>Aqui na Oi Internet voc=EA ganha ou ganha. =
Al=E9m de acesso gr=E1tis com<br>
qualidade, ganha contas ilimitadas de email com 1 giga cada uma. Ganha<br>e=
spa=E7o ilimitado para hospedar sua p=E1gina pessoal. Ganha flog, suporte<b=
r>gr=E1tis e muito mais. Baixe gr=E1tis o Discador em<br><a href=3D"http://=
www.oi.com.br/discador">http://www.oi.com.br/discador</a> e comece a ganhar=
.<br>
<br>Agora, se o seu neg=F3cio =E9 voar na internet sem pagar uma fortuna,<b=
r>assine Oi Internet banda larga e ganhe modem gr=E1tis. Clique em<br><a hr=
ef=3D"http://www.oi.com.br/bandalarga";>http://www.oi.com.br/bandalarga</a> =
e aproveite essa moleza!<br>
<br><br><br>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D<br>Instru=E7=F5es para entrar na lista, sair da lista e usar a lista=
 em<br><a href=3D"http://www.mat.puc-rio.br/~obmlistas/obm-l.html";>http://w=
ww.mat.puc-rio.br/~obmlistas/obm-l.html</a><br>
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<br></=
blockquote></div><br>

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