{"id":159,"date":"2024-11-24T22:24:55","date_gmt":"2024-11-24T20:24:55","guid":{"rendered":"https:\/\/kielinivel.tnk.fi\/?page_id=159"},"modified":"2025-01-27T23:14:35","modified_gmt":"2025-01-27T21:14:35","slug":"arabia","status":"publish","type":"page","link":"https:\/\/kielinivel.tnk.fi\/?page_id=159","title":{"rendered":"arabia – opiskeluohjeet arabiaksi"},"content":{"rendered":"\n

MATEMATIIKKA<\/p>\n\n\n\n

\n\n\n\n

Kokonaisluvut<\/strong> \"LUE<\/a><\/p>\n\n\n\n

Tavallisia lukum\u00e4\u00e4r\u00e4\u00e4 ilmaisevia lukuja 0, 1, 2, 3, … kutsutaan luonnollisiksi luvuiksi<\/strong>.<\/p>\n\n\n\n

\"Ulkona<\/figure>\n\n\n\n

Arkiel\u00e4m\u00e4ss\u00e4 tarvitaan my\u00f6s lukuja, jotka ovat pienempi\u00e4 kuin nolla. N\u00e4it\u00e4 lukuja kutsutaan negatiivisiksi luvuiksi<\/strong>. Niiden etumerkki on miinus (). \"LUE<\/a><\/p>\n\n\n\n

Kokonaislukuja<\/strong> ovat \u2026, -3, -2, -1, 0 ,1, 2, 3, \u2026 \"LUE<\/a><\/p>\n\n\n\n

Kokonaislukuja voidaan havainnollistaa l\u00e4mp\u00f6mittarilla tai lukusuoralla<\/strong>.\u00a0 \"LUE<\/a><\/p>\n\n\n\n

Esimerkki 1<\/em><\/strong>.<\/strong> Mit\u00e4 lukua vastaavat lukusuoran pisteet A, B, C ja D?<\/p>\n\n\n\n

\"lukusuora<\/figure>\n\n\n\n

Ratkaisu<\/em><\/strong><\/p>\n\n\n\n

A = 2                                   
B = -3                                  
C = -7                                  
D = 4<\/p>\n\n\n\n

\"LUE<\/a><\/p>\n\n\n\n

Esimerkki 2<\/em><\/strong>.<\/strong> M\u00e4\u00e4rit\u00e4 l\u00e4mp\u00f6tila, kun<\/p>\n\n\n\n

    \n
  1. alkuper\u00e4inen l\u00e4mp\u00f6tila on -4 \u00b0C ja l\u00e4mp\u00f6tila nousee 6 \u00b0C.<\/li>\n\n\n\n
  2. alkuper\u00e4inen l\u00e4mp\u00f6tila on 5 \u00b0C ja l\u00e4mp\u00f6tila laskee 8 \u00b0C.<\/li>\n\n\n\n
  3. alkuper\u00e4inen l\u00e4mp\u00f6tila on -10 \u00b0C ja l\u00e4mp\u00f6tila laskee 2 \u00b0C.<\/li>\n<\/ol>\n\n\n\n

    Ratkaisu<\/em><\/strong><\/p>\n\n\n\n

      \n
    1. L\u00e4mp\u00f6tila nousee 6 astetta, joten alkuper\u00e4iseen l\u00e4mp\u00f6tilaan lis\u00e4t\u00e4\u00e4n 6 \u00b0C.
      -4 \u00b0C + 6 \u00b0C = 2 \u00b0C
      <\/li>\n\n\n\n
    2. L\u00e4mp\u00f6tila laskee 8 astetta, joten alkuper\u00e4isest\u00e4 l\u00e4mp\u00f6tilasta v\u00e4hennet\u00e4\u00e4n 8 \u00b0C.
      5 \u00b0C \u2013 8 \u00b0C = -3 \u00b0C
      <\/li>\n\n\n\n
    3. L\u00e4mp\u00f6tila laskee 2 astetta, joten alkuper\u00e4isest\u00e4 l\u00e4mp\u00f6tilasta v\u00e4hennet\u00e4\u00e4n 2 \u00b0C.
      -10 \u00b0C \u2013 2 \u00b0C = -12 \u00b0C<\/li>\n<\/ol>\n\n\n\n

      \"LUE<\/a><\/p>\n\n\n\n

      Teht\u00e4vi\u00e4 <\/strong>\"LUE<\/a><\/p>\n\n\n\n

      1. Mit\u00e4 lukua kirjaimet osoittavat?<\/p>\n\n\n\n

      \"lukusuora<\/figure>\n\n\n\n

      2. Kirjoita l\u00e4mp\u00f6tilat 3 \u00b0C, -1 \u00b0C, 0 \u00b0C, 26 \u00b0C, -3 \u00b0C, -12 \u00b0C ja 14\u00b0C suuruusj\u00e4rjestykseen kylmimm\u00e4st\u00e4 l\u00e4mpimimp\u00e4\u00e4n.<\/p>\n\n\n\n

      3. L\u00e4mp\u00f6tila on 9 \u00b0C. Mik\u00e4 on l\u00e4mp\u00f6tila, kun se 
      a) nousee 8 asteella
      b) nousee 13 asteella
      c) laskee 7 asteella
      d) laskee 15 asteella?<\/p>\n\n\n\n

      \"LUE<\/a><\/p>\n\n\n\n

      L\u00e4mp\u00f6mittarin kuva: https:\/\/pixabay.com\/fi\/photos\/l%c3%a4mp%c3%b6mittari-tutkinto-l%c3%a4mp%c3%b6tila-167378\/<\/a><\/p>\n\n\n\n

      <\/p>\n\n\n\n

      \n\n\n\n

      <\/p>\n\n\n\n

      \n
      TEHT\u00c4VI\u00c4<\/strong><\/a><\/div>\n\n\n\n
      KOTONA<\/strong><\/a><\/div>\n\n\n\n
      KOKEISIIN<\/strong><\/a><\/div>\n<\/div>\n\n\n\n
      \n\n\n\n

      albania<\/a> \u23aa arabia<\/a> \u23aaenglanti<\/a>\u23aakurdi<\/a>\u23aapersia<\/a>\u23aasuomi<\/a> \u23aaven\u00e4j\u00e4<\/a><\/p>\n\n\n\n

      <\/p>\n","protected":false},"excerpt":{"rendered":"

      MATEMATIIKKA Kokonaisluvut Tavallisia lukum\u00e4\u00e4r\u00e4\u00e4 ilmaisevia lukuja 0, 1, 2, 3, … kutsutaan luonnollisiksi luvuiksi. Arkiel\u00e4m\u00e4ss\u00e4 tarvitaan my\u00f6s lukuja, jotka ovat pienempi\u00e4 kuin nolla. N\u00e4it\u00e4 lukuja kutsutaan negatiivisiksi luvuiksi. Niiden etumerkki on miinus (). Kokonaislukuja ovat \u2026, -3, -2, -1, 0 ,1, 2, 3, \u2026 Kokonaislukuja voidaan havainnollistaa l\u00e4mp\u00f6mittarilla tai lukusuoralla.\u00a0 Esimerkki 1. Mit\u00e4 lukua vastaavat […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":134,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-159","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/pages\/159","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=159"}],"version-history":[{"count":7,"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/pages\/159\/revisions"}],"predecessor-version":[{"id":3870,"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/pages\/159\/revisions\/3870"}],"up":[{"embeddable":true,"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=\/wp\/v2\/pages\/134"}],"wp:attachment":[{"href":"https:\/\/kielinivel.tnk.fi\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}