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Conjunto dos Números Inteiros

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Reconhecimento dos números inteiros, o conjunto Z e suas representações, subconjuntos e a reta inteira.

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Conjunto dos Números Inteiros

  1. 1. NÚMEROS POSITIVOS E NEGATIVOS OS INTEIROS
  2. 2. ENCONTRAMOS EM NOSSO COTIDIANO VÁRIAS EXEMPLOS DA APLICAÇÃO DOS NÚMEROS POSITIVOS E NEGATIVOS.
  3. 3. N úm eros positivos: Acima do nível do mar N úm eros negativos: Abaixo do nível do mar
  4. 4. Temperaturas N úm eros positivos: Acima de 0ºC N úm eros negativos: Abaixo de 0°C
  5. 5. FINANÇAS N úm eros positivos: Lucro, ganho Depósito, crédito N úm eros negativos: Prejuízo, perda, Saque, débito
  6. 6. SALDO DE GOLS úm eros positivos: ols a favor úm eros negativos: ols contra
  7. 7. ELEVADORES N úm eros positivos: Andares acima do térreo N úm eros negativos: Andares do subsolo
  8. 8. Fusos Horários N úm eros positivo Fusos a leste de Greenwich (marco inicial) têm as horas adiantadas (+ ) N úm eros negativo Fusos situados a oeste do meridiano inicial têm as horas atrasadas ( - )
  9. 9. CONJUNTO DOS NÚMEROS INTEIROS O conjunto formado pelos números inteiros negativos, pelo zero e pelos inteiros positivos é chamado de conjunto dos números inteiros e é representado pelo símbolo Z. Z = { ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...}
  10. 10. SUBCONJUNTOS DE Z
  11. 11. Como todos os números naturais também são números inteiros, dizemos que N é um subconjunto de Z ou que N está contido em Z: N C Z Z N
  12. 12. EXERCÍCIOS:
  13. 13. REPRESENTAÇÃO NA RETA NUMÉRICA  Crescente para a direita  -2 é o sucessor de -3  O ponto zero sobre a reta se chama origem  Os números negativos ficam à esquerda do zero e os positivos à direita  Zero não é positivo e nem negativo  Os inteiros positivos são identificados com os naturais, ou seja, +1, +2, +3,... Também podem ser grafados como 1,2,3,...
  14. 14. EXERCÍCIOS 1) Escreva os números inteiros: a) compreendidos entre 1 e 7 b) compreendidos entre -3 e 3 c) compreendidos entre -4 e 2 2) Responda: a) Qual é o sucessor de +8? b) Qual é o sucessor de -6? c) Qual é o sucessor de 0 ? 3) Escreva em Z o antecessor e o sucessor dos números: a) +4 b) -4 c) 54 4) Um garoto faz o seguinte percurso sobre uma reta numérica: “A partir do zero, ele caminha cinco unidades no sentido positivo e em seguida anda sete unidades no sentido negativo.” Determine o ponto em que se encontra o garoto após esse percurso.
  15. 15. MÓDULO DE UM NÚMERO INTEIRO A distância de um ponto à origem é chamada Valor Absoluto (ou módulo) do número que corresponde a esse ponto. O módulo de um número é representado por ││. │a│ Lê-se módulo de a. Exemplos: │-7│= 7 │+7│ = 7 │0│= 0
  16. 16. 1) Dê o modulo ou valor absoluto de cada número inteiro: a) + 8 c) -251 e) -50 g) -729 b) +125 d) 0 f) +3 h) -13 2) Dois números inteiros têm módulos iguais a 100. Quais são esses números? 3) Quais números inteiros possuem módulo menor que 5? NÚMEROS QUE APRESENTAM O MESMO MÓDULO SÃO CHAMADOS DE SIMÉTRICOS, ISTO É, ESTÃO À MESMA DISTÂNCIA DO ZERO. Exercícios
  17. 17. CHARADA! Porque o tomate pediu dinheiro emprestado ? Por que ele tá no vermelho!

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