03 - números inteiros, racionais e reais

8/3/2019 03 - nmeros inteiros, racionais e reais

1/16

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3/16

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7/16

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8/16

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Pgina 8 de 16.


9/16

Multiplicao e Diviso de Fraes

Multiplicao

1 Caso

Multiplicando um nmero natural por uma frao

Na multiplicao de um nmero natural por uma frao, multiplicamos o nmero natural pelonumerador da frao e conservamos o denominador.Exemplos:

Multiplicando Frao por Frao

Na multiplicao de nmeros fracionrios, devemos multiplicar numerador por numerador, edenominador por denominador.Exemplos:

(o resultado foi simplificado)

Diviso

Na diviso de nmeros fracionrios, devemos multiplicar a primeira frao pelo inverso dasegunda.Exemplos:

Potenciao e radiciao de nmeros fracionrios

Potenciao

Na potenciao, quando elevamos um nmero fracionrio a um determinado expoente,estamos elevando o numerador e o denominador a esse expoente:Exemplos:

Radiciao

Na radiciao, quando aplicamos a raiz a um nmero fracionrio, estamos aplicando essa raizao numerador e ao denominador:Exemplos:

Pgina 9 de 16.


10/16

Fracao geratriz

Conforme voc j estudou, todo nmero racional (Conjunto Q), resulta da diviso de doisnmero inteiros, a diviso pode resultar em um nmero inteiro ou decimal.Convm lembrar que temos decimais exato.

Exemplo: 2,45; 0,256; 12,5689; 12,5689

Temos tambm decimais no exato (dzima peridica)Exemplo: 2,555555.... ; 45,252525....; 0,123123123...; 456,12454545; 7,4689999....

Voc deve saber, que em uma dzima peridica a parte decimal que repete, recebe o nomede perodo, a parte que no repete chamada de ante-perodo, a parte no decimal aparte inteira.

Exemplo:Dzima peridica composta Dzima peridica simples

Encontrando a Frao Geratriz de uma Dzima PeridicaDzima peridica simples:Devemos adicionar a parte decimal parte inteira. Devemos lembra que a parte decimal ser

transformada em uma frao cujo numerador o perodo da dzima e o denominador umnmero formado por tantos noves quantos sos os algarismos do perodo.

Exemplos:

Dzima peridica composta

Devemos adicionar parte inteira uma frao cujo numerador formado pelo ante-perodo,seguindo de um perodo, menos o ante-perodo, e cujo denominador formado de tantosnoves quantos so os algarismos do perodo seguidos de tantos zeros quanto so osalgarismos do ante-perodo.Exemplos:

Perodo = 47(implica em dois noves) Ante-perodo = 1 (implica em um 0)

Perodo = 7 Ante-perodo = 0

Pgina 10 de 16.


11/16

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**********SIMULADO**********01. Considere as afirmativas abaixo:

( I )68686868686868686868

2054522)52(2102 ==+=+=+ xxx ( II )

681366868686868686852522)52(2102 xxx =+=+=+

( III ) )53()22(5232)52()32(106231723172323171723172317

xxxxxx +=+=+=+

Pode-se afirmar que:A) apenas a afirmativa I verdadeira.B) apenas as afirmativas I e III so verdadeiras.C) apenas a afirmativa II verdadeira.D) apenas as afirmativas II e III so verdadeiras.E) as afirmativas I, II e III so falsas.

02 - No concurso para o CPCAR foramentrevistados 979 candidatos, dos quais 527falam a lngua inglesa, 251 a lngua francesa e321 no falam nenhum desses idiomas. Onmero de candidatos que falam as lnguasinglesa e francesa a) 778 c) 120b) 658 d) 131

03 - Sobre o menor nmero natural n de 4algarismos, divisvel por 3, tal que o algarismodas dezenas metade do algarismo dasunidades e igual ao dobro do algarismo dasunidades de milhar, correto afirmar quea) n+ 1 divisvel por 7b) nest entre 2000 e 3009c) n+ 2 mltiplo de 10d) napresenta 12 divisores positivos

04 - No concurso CPCAR,10

1dos aprovados foi

selecionado para entrevista com psiclogos,que dever ser feita em 2 dias. Sabendo-seque 20 candidatos desistiram, no confirmandosua presena para a entrevista, os psiclogosobservaram que, se cada um atendesse 9 por

dia, deixariam 34 jovens sem atendimento.Para cumprir a meta em tempo hbil, cada umse disps, ento, a atender 10 candidatos pordia.Com base nisso, correto afirmar que onmero de aprovados no concursoa) mltiplo de 600.

b) divisor de 720.c) igual a 3400.d) est compreendido entre 1000 e 3000.

05 - Uma abelha-rainha dividiu as abelhas de suacolmia nos seguintes grupos para exploraoambiental: um composto de 288 batedoras eoutro de 360 engenheiras. Sendo voc aabelha rainha e sabendo que cada grupo deveser dividido em equipes constitudas de ummesmo e maior nmero de abelhas possvel,ento voc redistribuiria suas abelhas ema) 8 grupos de 81 abelhasb) 9 grupos de 72 abelhasc) 24 grupos de 27 abelhasd) 2 grupos de 324 abelhas

06 - Uma senhora vai feira e gasta, em frutas,9

2

do que tem na bolsa. Gasta depois7

3do resto

em verduras e ainda lhe sobram R$8,00. Elalevava, em reais, ao sair de casaa) 45,00 c) 27,00b) 36,00 d) 18,00

GABARITO01. Alternativa E

A afirmativa I falsa, pois:6868686868

54522 xx +

A afirmativa II falsa, pois:68136686868

52522 xx +

A afirmativa III falsa, pois:

)53()22(52322317231723231717

xxxx ++

2. C 3. A 4. A 5. B 6. D

03 - números inteiros, racionais e reais

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