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<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com6tag:blogger.com,1999:blog-2949600807561872754.post-74675920109637820972012-12-19T08:40:00.000-08:002012-12-19T15:38:39.143-08:00Bab 8 Ukuran Asas<div class="separator" style="clear: both; text-align: center;">
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<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-33842886287804256582012-12-19T08:00:00.002-08:002012-12-19T15:38:56.868-08:00Bab 7 Ungkapan Algebra<iframe frameborder="0" height="400" marginheight="0" marginwidth="0" scrolling="no" src="http://www.slideshare.net/slideshow/embed_code/15701259" width="476"></iframe>Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com7tag:blogger.com,1999:blog-2949600807561872754.post-56005823437067311202012-12-19T07:26:00.000-08:002012-12-19T07:45:01.946-08:00Senarai Formula PMR<div class="separator" style="clear: both; text-align: center;">
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<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-30267415077694510652012-12-18T09:32:00.003-08:002012-12-19T01:58:44.690-08:00Bab 6 Integer<br />
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<span lang="EN-MY" style="font-family: "Times New Roman","serif"; font-size: 24.0pt; line-height: 115%;">Integer</span></div>
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<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; line-height: 18px; text-indent: -24px;">Integer ialah nombor bulat yang mempunyai tanda positif atau negatif dan sifar yang berada diantara kawasan ini.</span></li>
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<li><span lang="EN-MY" style="font-family: Symbol; font-size: 12pt; line-height: 115%; text-indent: -0.25in;"><span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><span lang="EN-MY" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%; text-indent: -0.25in;">Pada integer nombor
sebelah kiri sifar ialah integer negatif manakala disebelah kanan pula ialah
integer positif</span></li>
</ul>
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<li><span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;">Penambahan dan penolakan integer</span></li>
</ul>
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Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com20tag:blogger.com,1999:blog-2949600807561872754.post-8146930475585303422012-12-18T09:26:00.002-08:002012-12-19T02:01:08.483-08:00Bab 5 Peratusan<div class="separator" style="clear: both; text-align: left;">
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<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com1tag:blogger.com,1999:blog-2949600807561872754.post-62477746193832955332012-12-18T09:20:00.000-08:002012-12-19T02:00:58.535-08:00Bab 4 Nombor Perpuluhan<br />
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<span style="font-size: 24.0pt; line-height: 115%; mso-ansi-language: EN-US;">Perpuluhan<o:p></o:p></span></div>
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<span style="font-size: 24.0pt; line-height: 115%; mso-ansi-language: EN-US;"><br /></span></div>
<div class="MsoListParagraphCxSpFirst" style="margin-left: .25in; mso-add-space: auto; mso-list: l2 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span lang="EN-MY" style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;">Nombor perpuluhan ( fraction ) yang penyebutnya merupakan 10,
100, 1 000 dan sebagainya dan berkait dengan nilai pecahan.<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: .25in; mso-add-space: auto; mso-list: l2 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span lang="EN-MY" style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;">Bilangan tempat perpuluhan ( t.p.) ialah bilangan digit
selepas titk perpuluhan seperti :<o:p></o:p></span></div>
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<span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
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<span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;"> 0.3 </span><span lang="EN-MY" style="font-size: 15px; line-height: 17px;"><span style="font-family: Calibri, sans-serif;"><-</span></span><span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;"> ( 1 t.p. )<o:p></o:p></span></div>
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<span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;"> 9.34 </span><span lang="EN-MY" style="font-size: 15px; line-height: 17px;"><span style="font-family: Calibri, sans-serif;"><-</span></span><span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;"> ( 2
t.p. )<o:p></o:p></span></div>
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<span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;"><br /></span></div>
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<!--[if !supportLists]--><span lang="EN-MY" style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span lang="EN-MY" style="font-size: 12.0pt; line-height: 115%;">Hubungan nombor perpuluhan dan pecahan seperti :<o:p></o:p></span></div>
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<span lang="EN-MY"> </span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6yAtzdiHL7DXuDmQwuZiPzs0sba6R_2-LsX60FreE0btZaqBXccZqvFFFJUv9-M7BiTjEOUZ9fh_e8yhcOW_wKe0f1Bsbi9ry5gjUVeBNJhiuP9jZd2bNpfu0Hm5CMMaBTq-AsTfOXWAi/s1600/1.PNG" imageanchor="1" style="clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6yAtzdiHL7DXuDmQwuZiPzs0sba6R_2-LsX60FreE0btZaqBXccZqvFFFJUv9-M7BiTjEOUZ9fh_e8yhcOW_wKe0f1Bsbi9ry5gjUVeBNJhiuP9jZd2bNpfu0Hm5CMMaBTq-AsTfOXWAi/s320/1.PNG" width="176" /></a></div>
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<!--[if !supportLists]--><span lang="EN-MY" style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span lang="EN-MY" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Membundarkan
nombor perpuluhan sama seperti cara membundarkan nombor bulat seperti : </span></div>
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<span lang="EN-MY" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></div>
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<span lang="EN-MY" style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Symbol;"><br /></span></div>
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<!--[if !supportLists]--><span lang="EN-MY" style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span lang="EN-MY" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Penambahan
dan penolakkan :</span></div>
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<span lang="EN-MY" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></div>
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Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-46985500279749668182012-12-18T08:39:00.001-08:002012-12-19T02:02:09.450-08:00Latihan Interaktif
<DOCTYPE html>
<html>
<head>
<meta charset = "utf-8">
<title>Links</title>
</head>
<body>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.1.1.html">Nombor Bulat</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.1.2.html">Nilai Tempat dan Nilai Digit</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.1.3.html">Membundarkan Nombor</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.2.1.html">Menambah Nombor Bulat</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.2.2.html">Menyelesaikan Masalah Penambahan</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.2.3.html">Menolak Nombor Bulat</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.2.4.html">Menyelesaikan Masalah Penolakan</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_1.2.4.html">Menyelesaikan Masalah Penolakan</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_6.1.1.html">Membaca & Menulis Integer</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_6.1.3.html">Membandingkan Nilai Dua Integer</a></p>
<p><a class = "nodec" href = "http://www.smkpenangah.edu.my/e-latihan/mkt1/mkt1_latihan_6.1.4.html">Menyusun Integer Dalam Urutan</a></p>
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<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com9tag:blogger.com,1999:blog-2949600807561872754.post-51351743473484521732012-12-15T01:34:00.000-08:002012-12-25T10:25:08.626-08:00Bab 11 Perimeter<div class="separator" style="clear: both; text-align: center;">
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cara mudah mengingat formula perimeter</div>
<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com1tag:blogger.com,1999:blog-2949600807561872754.post-21809283422455385462012-12-15T01:32:00.000-08:002012-12-19T02:03:50.277-08:00Bab 12 Solid Geometri<div class="separator" style="clear: both; text-align: center;">
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<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-40431616385125520002012-12-08T14:47:00.001-08:002012-12-19T01:59:34.485-08:00Bab 2.8 Faktor Sepunya dan Faktor Sepunya Terbesar (FSTB)<b><u>2.8 Faktor Sepunya dan Faktor Sepunya Terbesar (FSTB)</u></b><br />
<br />
Faktor Sepunya (common factors) beberapa nombor bulat adalah nombor yang merupakan faktor setiap nombor-nombor tersebut.<br />
<br />
Faktor Sepunya Terbesar, FSTB (Highest Common Factor, HCF) beberapa nombor yang diberi adalah nombor terbesar yang merupakan faktor setiap nombor-nombor tersebut.<br />
<br />
<br />
<b><u>Mencari faktor sepunya bagi dua atau tiga nombor bulat.</u></b><br />
<br />
Contoh 1:<br />
Cari faktor sepunya bagi;<br />
<br />
18 dan 54.<br />
Jwb:<br />
Faktor bagi 18: 1, 2, 3, 6, 9, 18<br />
Faktor bagi 54: 1, 2, 3, 6, 9, 18, 27, 54<br />
Faktor Sepunya bagi 18 dan 54 adalah 1, 2, 3, 6, 9 dan 18.<br />
<br />
9, 15 dan 21.<br />
Jwb:<br />
Faktor bagi 9: 1, 3, 9<br />
Faktor bagi 15: 1, 3, 5, 15<br />
Faktor bagi 21: 1, 3, 7, 21<br />
Faktor Sepunya bagi 9, 15 dan 21 adalah 1 dan 3.<br />
<br />
<br />
<b><u>Menentukan samada suatu nombor itu adalah faktor sepunya bagi dua atau tiga nombor yang diberi.</u></b><br />
Contoh 2:<br />
Tentukan samada;<br />
12 adalah faktor sepunya bagi 84 dan 156.<br />
Jwb:<br />
84 ÷ 12 = 7<br />
156 ÷ 12 = 13<br />
Oleh itu, 12 adalah faktor sepunya bagi 84 dan 156.<br />
<br />
4 adalah faktor sepunya bagi 32, 70 dan 112.<br />
Jwb:<br />
32 ÷ 4 = 8<br />
70 ÷ 4 = 17 berbaki 2<br />
112 ÷ 4 = 28<br />
Oleh itu , 4 adalah bukan faktor sepunya bagi 32, 70 dan 112.<br />
<br />
<br />
<b><u>Menentukan Faktor Sepunya Terbesar (FSTB) bagi dua nombor bulat.</u></b><br />
Contoh 3:<br />
Dapatkan faktor sepunya terbesar bagi;<br />
<br />
28 dan 32.<br />
Jwb:<br />
Kaedah 1: Senaraikan semua faktor bagi setiap nombor.<br />
Faktor bagi 28: 1, 2, 4, 7, 14, 28<br />
Faktor bagi 32: 1, 2, 4, 8, 16, 32<br />
Oleh itu, faktor sepunya terbesar bagi 28 dan 32 adalah 4.<br />
<br />
Kaedah 2: Penggunaan algoritma (pembahagian berulang oleh faktor sepunya).<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdUn-l5tAKVM24rr1VcjnjsNZDUeJVBfsvnQVxHlhMUPXW5Ox0UVo2TbH7MJi18rtjPQdXFi5fwAlnIcHMtrJEaJAhWVZYBq1Sm9lv8vDPJTrM1GTq2NTS4iJNbYvRrSlvTL0IDdr-6Fdm/s1600/hcf_algo01.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdUn-l5tAKVM24rr1VcjnjsNZDUeJVBfsvnQVxHlhMUPXW5Ox0UVo2TbH7MJi18rtjPQdXFi5fwAlnIcHMtrJEaJAhWVZYBq1Sm9lv8vDPJTrM1GTq2NTS4iJNbYvRrSlvTL0IDdr-6Fdm/s400/hcf_algo01.PNG" /></a><br />
Faktor sepunya terbesar bagi 28 dan 32 adalah = 2 x 2 = 4.<br />
<br />
<br />
15 dan 24.<br />
Jwb:<br />
Kaedah 1: Senaraikan semua faktor bagi setiap nombor.<br />
Faktor bagi 15: 1, 3, 5, 15<br />
Faktor bagi 24: 1, 2, 3, 4, 6, 8, 12, 24<br />
Oleh itu, faktor sepunya terbesar bagi 15 dan 24 adalah 3.<br />
<br />
Kaedah 2: Penggunaan algoritma (pembahagian berulang oleh faktor sepunya).<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzitRcQ1l52cyUyJM5thLeqtOd5H29vqEj5RZHrpMcMV9QYw0ypzAdsX8S-kA9eoKGMhMpE_HsZysqJqhPPeZtuDBNeO8yE0KL0C28569MeyFaVJzlLmFcLW5wX3EaP0N6gDHnuMbNDZu9/s1600/hcf_algo02.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzitRcQ1l52cyUyJM5thLeqtOd5H29vqEj5RZHrpMcMV9QYw0ypzAdsX8S-kA9eoKGMhMpE_HsZysqJqhPPeZtuDBNeO8yE0KL0C28569MeyFaVJzlLmFcLW5wX3EaP0N6gDHnuMbNDZu9/s1600/hcf_algo02.PNG" /></a><br />
Oleh itu, faktor sepunya terbesar bagi 15 dan 24 adalah 3.<br />
<br />
<b><u><br />Menentukan Faktor Sepunya Terbesar (FSTB) bagi tiga nombor bulat.</u></b><br />
<br />
Contoh 4:<br />
Dapatkan faktor sepunya terbesar (FSTB) bagi;<br />
<br />
40, 48 dan 56.<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6BySXVRWFx2Us4wK4JFFDKjSjOGxHWuCd4MmOZU6UuwaHv1FBT5Qas3m3wfu2uh-BV8sj_KuhgjDJxexyk92pG69w3le7o9Vn_rdNgftvq7LkloMB_AhI8J6YD4EPQyC-c_29pCmndEfs/s1600/hcf_algo03.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6BySXVRWFx2Us4wK4JFFDKjSjOGxHWuCd4MmOZU6UuwaHv1FBT5Qas3m3wfu2uh-BV8sj_KuhgjDJxexyk92pG69w3le7o9Vn_rdNgftvq7LkloMB_AhI8J6YD4EPQyC-c_29pCmndEfs/s1600/hcf_algo03.PNG" /></a><br />
* Pembahagian dihentikan kerana 5, 6 dan 7 tidak mempunyai faktor sepunya yang lain daripada 1.<br />
<br />
Oleh itu,Faktor Sepunya Terbesar (FSTB) bagi 40, 48 dan 56<br />
= 2 x 2 x 2<br />
= 8<br />
<br />
<br />
70, 84 dan 126.<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYgPLXtUrXGx4EnTmWRVymlbWXygPsd41AlPUcUFrlfFQPATexQPBS9YDaWRVVEo32NJ2f0GfstXW0ia7k1gwbb-1Mpzsivl-bBIW_-KPqNrMqUKmbZ5DInmRUUE602sDB6ybJK2z8ZoBK/s1600/hcf_algo04.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYgPLXtUrXGx4EnTmWRVymlbWXygPsd41AlPUcUFrlfFQPATexQPBS9YDaWRVVEo32NJ2f0GfstXW0ia7k1gwbb-1Mpzsivl-bBIW_-KPqNrMqUKmbZ5DInmRUUE602sDB6ybJK2z8ZoBK/s1600/hcf_algo04.PNG" /></a><br />
** Pembahagian dihentikan kerana 5, 6 dan 9 tidak mempunyai faktor sepunya yang lain daripada 1.<br />
<br />
Oleh itu, Faktor Sepunya Terbesar (FSTB) bagi 70, 84 dan 126<br />
= 2 x 7<br />
= 14Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com1tag:blogger.com,1999:blog-2949600807561872754.post-38971799750210524212012-12-08T14:45:00.003-08:002012-12-19T01:59:34.480-08:00Bab 2.7 Gandaan Sepunya dan Gandaan Sepunya Terkecil (GSTK) <b><u>2.7 Gandaan Sepunya dan Gandaan Sepunya Terkecil (GSTK)</u></b><br />
<br />
Gandaan Sepunya (common multiples) set nombor bulat yang diberi adalah gandaan setiap nombor tersebut dalam set.<br />
<br />
Gandaan Sepunya Terkecil, GSTK (lowest common multiple, LCM) beberapa nombor yang diberikan adalah gandaan sepunya terkecil nombor-nombor tersebut.<br />
<br />
* Konsep 'gandaan' dan 'faktor' adalah bertentangan.<br />
Contohnya;<br />
30 adalah gandaan bagi 1, 2, 3, 5, 6, 10, 15 dan 30.<br />
Manakala, 1, 2, 3, 5, 6, 10, 15 dan adalah factor kepada 30.<br />
<br />
<br />
<b><u>Mencari gandaan sepunya bagi dua atau tiga nombor bulat.</u></b><br />
<br />
Contoh 1:<br />
Dapatkan gandaan sepunya bagi;<br />
<br />
3 dan 4.<br />
Jwb:<br />
Gandaan bagi 3: 3, 6, 9, 12, 15, 18, 21, 24, ...<br />
Gandaan bagi 4: 4, 8, 12, 16, 20, 24, 28, ...<br />
Gandaan Sepunya bagi 3 dan 4 adalah 12, 24, 36, ...<br />
<br />
2, 3 dan 6.<br />
Jwb:<br />
Gandaan bagi 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, ...<br />
Gandaan bagi 3: 3, 6, 9, 12, 15, 18, 21, ...<br />
Gandaan bagi 6: 6, 12, 18, 24, 36, ...<br />
Gandaan Sepunya bagi 2, 3 dan 6 adalah 6, 12, 18, ...<br />
<br />
** Senarai gandaan sepunya beberapa nombor bulat adalah juga dari urutan nombor.<br />
<br />
<br />
<b><u>Menentukan samada suatu nombor itu adalah gandaan sepunya bagi dua atau tiga nombor bulat yang diberi.</u></b><br />
Contoh 2:<br />
Tentukan samada;<br />
<br />
84 adalah gandaan sepunya bagi 5 dan 7.<br />
Jwb:<br />
84 ÷ 5 = 16 berbaki 4<br />
84 ÷ 7 = 12<br />
84 tidak boleh dibahagi tepat dengan 5.<br />
Oleh itu, 84 adalah bukan Gandaan Sepunya bagi 5 dan 7.<br />
<br />
432 adalah gandaan sepunya bagi 6, 8 dan 9.<br />
Jwb:<br />
432 ÷ 6 = 72<br />
432 ÷ 8 = 54<br />
432 ÷ 9 = 48<br />
432 boleh dibahagi tepat dengan 6, 8 dan 9.<br />
Oleh itu, 432 adalah Gandaan Sepunya bagi 6, 8 dan 9.<br />
<br />
<br />
<b><u>Menentukan GSTK (LCM) bagi dua nombor bulat.</u></b><br />
<br />
Contoh 3:<br />
Cari Gandaan Sepunya Terkecil bagi;<br />
<br />
9 dan 12<br />
Jwb:<br />
Kaedah 1: Pemfaktoran Perdana (Prime Factorisation)<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQNF1TvoOQhMf0jT3gZFLjtHrw0H5Zhqy6Cjt0fJreaVEpFjfH6A-UqJHwIureiOWZjWXoschfZmKX0MtC7xEPAmgBLBQ6LPjS7YXdveF3ecnqUr7YEwmozXkFqtVBmvWRE1htvFReYIhx/s1600/lcm01.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQNF1TvoOQhMf0jT3gZFLjtHrw0H5Zhqy6Cjt0fJreaVEpFjfH6A-UqJHwIureiOWZjWXoschfZmKX0MtC7xEPAmgBLBQ6LPjS7YXdveF3ecnqUr7YEwmozXkFqtVBmvWRE1htvFReYIhx/s400/lcm01.PNG" /></a><br />
<br />
GSTK bagi 9 dan 12 = 3 x 3 x 2 x 2 = 36<br />
<br />
Kaedah 2: Guna algoritma (pembahagian berulang oleh faktor perdana)<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5-BfLleNiCMLvhalX8jlFGjHrS8wGbyHwue459wt9uJ1St_fo-aQ4QurEdohTIQUWB4nUPYvO1P39FjhQTWxFe-eTXNi4jhB48BWliY-IfkD8OEya3GFYOYE0N5G1Cv3foeyvgQqSaYbJ/s1600/lcm_algo01.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5-BfLleNiCMLvhalX8jlFGjHrS8wGbyHwue459wt9uJ1St_fo-aQ4QurEdohTIQUWB4nUPYvO1P39FjhQTWxFe-eTXNi4jhB48BWliY-IfkD8OEya3GFYOYE0N5G1Cv3foeyvgQqSaYbJ/s400/lcm_algo01.PNG" /></a><br />
GSTK bagi 9 dan 12 = 3 x 3 x 2 x 2 = 36<br />
<br />
<br />
15 dan 21<br />
Jwb:<br />
Kaedah 1: Pemfaktoran Perdana (Prime Factorisation)<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5qRo_eBFsXa_ESUMG2l1hMQ5aOv54jzpug24rZEBxK9HYPDSpOsOm4LSLrXIcNaftjYD4yiVvJecCDYHyRrherrzCmRK7TRHn5PgFzFEJ05ioM5TVrJ03-O7Fua0srHY__xt-BrAXlctk/s1600/lcm02.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5qRo_eBFsXa_ESUMG2l1hMQ5aOv54jzpug24rZEBxK9HYPDSpOsOm4LSLrXIcNaftjYD4yiVvJecCDYHyRrherrzCmRK7TRHn5PgFzFEJ05ioM5TVrJ03-O7Fua0srHY__xt-BrAXlctk/s400/lcm02.PNG" /></a><br />
GSTK bagi 15 dan 21 = 5 x 3 x 7 = 105<br />
<br />
Kaedah 2: Guna algoritma<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlJUskXCg-ixr4_gbnTpS62awiSAxFczfYjUb_nY6wgVIjEXLL3rLgBWX4dlSMCRU_5LbEUKoqcdjlmNuOnwDVGk04dFpN6Sk2RdNiIrlCgZPE0ppb8IrhYnNmPtqsjUd3qFiDK_Ye1IFJ/s1600/lcm_algo02.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlJUskXCg-ixr4_gbnTpS62awiSAxFczfYjUb_nY6wgVIjEXLL3rLgBWX4dlSMCRU_5LbEUKoqcdjlmNuOnwDVGk04dFpN6Sk2RdNiIrlCgZPE0ppb8IrhYnNmPtqsjUd3qFiDK_Ye1IFJ/s1600/lcm_algo02.PNG" /></a><br />
GSTK bagi 15 dan 21 = 3 x 5 x 7 = 105<br />
<br />
<br />
<b><u>Menentukan GSTK (LCM) bagi tiga nombor bulat.</u></b><br />
Contoh 4:<br />
Tentukan GSTK bagi;<br />
<br />
6, 15 dan 18.<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrSu3Uic6Ntf6Hv_WCR_ejcQ2jkr7Mi2MaSLnkM4o2P1MISFsZiUHzvGS2CcbA-6ZNkw7ZXJ_rcuhxZxiBhhEAFRQYDiXcdT8B_PtjDEdgEYO5gW5gEt4mDbQCxoa2hyphenhyphenxr4sZhWy47fdLV/s1600/lcm_algo03.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrSu3Uic6Ntf6Hv_WCR_ejcQ2jkr7Mi2MaSLnkM4o2P1MISFsZiUHzvGS2CcbA-6ZNkw7ZXJ_rcuhxZxiBhhEAFRQYDiXcdT8B_PtjDEdgEYO5gW5gEt4mDbQCxoa2hyphenhyphenxr4sZhWy47fdLV/s1600/lcm_algo03.PNG" /></a><br />
GSTK bagi 6, 15 dan 18 = 2 x 3 x 3 x 5 = 90<br />
<br />
<br />
14, 28 dan 49.<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDDUb6wwUZQIcMcldHJO3q2OGBlcdmXrzRWwbBC8f89fPfXl5IW5NE1sDLiVYeW1zzisWcVN8zu4QA1lKcV8qI09KiE0lskrzOca3pZLiV2UxzP40pZC1KmLlsadHn7MKJ7RG_zlSkeEMB/s1600/lcm_algo04.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDDUb6wwUZQIcMcldHJO3q2OGBlcdmXrzRWwbBC8f89fPfXl5IW5NE1sDLiVYeW1zzisWcVN8zu4QA1lKcV8qI09KiE0lskrzOca3pZLiV2UxzP40pZC1KmLlsadHn7MKJ7RG_zlSkeEMB/s1600/lcm_algo04.PNG" /></a><br />
GSTK bagi 14, 28, 49 = 7 x 2 x 2 x 7 = 196Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-78746017162302448032012-12-08T13:52:00.001-08:002012-12-19T01:59:34.506-08:00Bab 2.6 Gandaan<b><u>2.6 Gandaan</u></b><br />
<br />
Gandaan (multiples) sesuatu nombor bulat adalah produk daripada nombor tersebut dengan mana-mana nombor bulat yang lain, kecuali sifar (zero).<br />
<br />
<br />
Gandaan nombor n adalah dalam bentuk nk, di mana k = 1, 2, 3, 4, ... <br />
Sebagai contoh, Gandaan 3 = 3 x 1, 3 x 2, 3 x 3, 3 x 4, ...<br />
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<span style="text-align: start;"><br /></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9UbyAW2OXPSV5RXBBbG0AfBNUrl99mwkvVRWFpcZKqlWVWQJf8riUzHGuwFzC8Y-gIaVv5xtQhAaOLAf_bfxE53PawZp6wupnBo5-Q1Q6b_-uu-z1gf6nXKIWttiNUCuarsyiWRm-Ltsp/s1600/m6.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9UbyAW2OXPSV5RXBBbG0AfBNUrl99mwkvVRWFpcZKqlWVWQJf8riUzHGuwFzC8Y-gIaVv5xtQhAaOLAf_bfxE53PawZp6wupnBo5-Q1Q6b_-uu-z1gf6nXKIWttiNUCuarsyiWRm-Ltsp/s1600/m6.PNG" /></a></div>
<br />
<br />
<b><u>Menyenaraikan gandaan nombor bulat</u></b><br />
<br />
Contoh 1:<br />
Senaraikan lima gandaan pertama bagi;<br />
<br />
2<br />
Jwb:<br />
= 2 x 1, 2 x 2, 2 x 3, 2 x 4, 2 x 5<br />
= 2, 4, 6, 8, 10<br />
<br />
5<br />
Jwb:<br />
= 5 x 1, 5 x 2, 5 x 3, 5 x 4, 5 x 5<br />
= 5, 10, 15, 20, 25<br />
<br />
9<br />
Jwb:<br />
= 9 x 1, 9 x 2, 9 x 3, 9 x 4, 9 x 5<br />
= 9, 18, 27, 36, 45<br />
<br />
15<br />
Jwb:<br />
= 15 x 1, 15 x 2, 15 x 3, 15 x 4, 15 x 5<br />
= 15, 30, 45, 60, 75 <br />
<br />
* Gandaan nombor yang diberi juga membentuk satu turutan nombor.<br />
<br />
<br />
<b><u>Menentukan samada sesuatu nombor itu boleh dibahagikan dengan nombor lain.</u></b><br />
Contoh 2:<br />
Tentukan sama ada 63 boleh dibahagikan dengan;<br />
<br />
7<br />
Jwb:<br />
63 ÷ 7 = 9 ← 63 = 7 x 9<br />
Oleh itu, 63 adalah gandaan 7.<br />
<br />
8<br />
Jwb:<br />
63 ÷ 8 = 7, berbaki 7<br />
Oleh itu, 63 adalah bukan gandaan 8.<br />
** Jika nombor n boleh dibahagi dengan nombor m, maka n adalah gandaan bagim.<br />
<br />
Contoh 3:<br />
Gunakan ujian keterbahagian untuk menentukan samada 639 234 adalah gandaan bagi;<br />
<br />
4<br />
Jwb:<br />
Dua digit terakhir 639 234, iaitu 34, tidak boleh dibahagi dengan 4.<br />
Oleh itu, 639 234 bukan gandaan 4.<br />
<br />
9<br />
Jwb:<br />
6 + 3 + 9 + 2 + 3 + 4 = 27<br />
Hasil tambah semua digit 639 234 boleh dibahagi dengan 9.<br />
Oleh itu, 639 234 adalah gandaan 9.<br />
<br />
*** Nombor bulat boleh dibahagi dengan nombor lain jika bakinya adalah sifar.</div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com1tag:blogger.com,1999:blog-2949600807561872754.post-46558021499507672732012-12-08T13:48:00.000-08:002012-12-19T01:59:34.491-08:00Bab 2.5 Faktor Perdana<b><u>2.5 Faktor Perdana</u></b><br />
<br />
Faktor perdana (prime factor) bagi suatu nombor bulat adalah, nombor perdana yang merupakan faktor kepada nombor tersebut.<br />
<br />
<br />
<div>
<b><u>Mengenal pasti faktor perdana dari senarai faktor.</u></b><br />
<br />
Contoh:<br />
Diberi 1, 2, 4, 7, 8, 14 dan 56 ada faktor kepada 56. Kenal pasti semua faktor perdana kepada 56.<br />
<br />
Jwb:<br />
Antara faktor kepada 56, 2 dan 7 adalah nombor perdana. Oleh itu, faktor perdana kepada 56 adalah 2 dan 7.<br />
<br />
<br />
<b><u>Mencari faktor perdana nombor bulat.</u></b><br />
<br />
Contoh:<br />
Dapatkan faktor perdana nombor berikut:<br />
<br />
100<br />
Kaedah 1 - Senaraikan semua faktor kepada 100.<br />
Faktor kepada 100 adalah 1, 2, 4, 5, 10, 20, 25, 50 dan 100. Antara semua faktor tersebut, 2 dan 5 adalah nombor perdana. Oleh itu, faktor perdana kepada 100 adalah 2 dan 5.<br />
<br />
Kaedah 2 - Menggunakan algoritma (pembahagian berulang oleh faktor perdana).<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnljluPUwgqaGmI-9n04lq1ofoeNuxvaGDZGEfnftsUChURjjuO5ywoI3G4MhGHSgUXCWewYspf3IjPGxBiqLvXsfN4P1J98OOQBJrzXk_vU6KZrtaEGHK4NmKnoTRc3iGj7Znl4Y85jOB/s1600/factor+100.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnljluPUwgqaGmI-9n04lq1ofoeNuxvaGDZGEfnftsUChURjjuO5ywoI3G4MhGHSgUXCWewYspf3IjPGxBiqLvXsfN4P1J98OOQBJrzXk_vU6KZrtaEGHK4NmKnoTRc3iGj7Znl4Y85jOB/s1600/factor+100.PNG" /></a><br />
Oleh itu, faktor perdana kepada 100 adalah 2 dan 5.<br />
<br />
<br />
Kaedah 3 - Menggunakan gambarajah pokok (factor tree diagram).<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzT9ejRjr9hRobqz3WzUQBfzotGboJQ33ilslOphxmUXTOGUciKa-G5B9GeNkfvOtYOmoeoThA6A7jtAtQoX5Amk6E1y86yfUNdMYf9Bp8AmrVRMHJUm4Q68jB0EeJIde62qaTjF3ql2ow/s1600/diagram+factor+100.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzT9ejRjr9hRobqz3WzUQBfzotGboJQ33ilslOphxmUXTOGUciKa-G5B9GeNkfvOtYOmoeoThA6A7jtAtQoX5Amk6E1y86yfUNdMYf9Bp8AmrVRMHJUm4Q68jB0EeJIde62qaTjF3ql2ow/s400/diagram+factor+100.PNG" /></a><br />
Daripada gambarajah, faktor perdana kepada 100 adalah 2 dan 5.<br />
<br />
72<br />
Kaedah 1 - Senaraikan semua faktor kepada 72.<br />
Faktor kepada 72 adalah 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 dan 72. Antara semua faktor tersebut, 2 dan 3 adalah nombor perdana. Oleh itu, faktor perdana kepada 72 adalah 2 dan 3.<br />
<br />
<br />
Kaedah 2 - Menggunakan algoritma (pembahagian berulang oleh faktor perdana).<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOjd9CFmu5RquQbVMpRGSyzSM7XSqRic70P7BcG-HM4MS4QT6Uj3LjmRTP64vVWY415y9GKnk6brMDpNBnaDqf_a56MUlpiH2KVY7WGAP364LMohgHwesNnt1AAa7uBo6kPWWDoC3bHeNw/s1600/factor+72.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOjd9CFmu5RquQbVMpRGSyzSM7XSqRic70P7BcG-HM4MS4QT6Uj3LjmRTP64vVWY415y9GKnk6brMDpNBnaDqf_a56MUlpiH2KVY7WGAP364LMohgHwesNnt1AAa7uBo6kPWWDoC3bHeNw/s1600/factor+72.PNG" /></a><br />
Oleh itu, faktor perdana kepada 72 adalah 2 dan 3.<br />
<br />
<br />
Kaedah 3 - Menggunakan gambarajah pokok (factor tree diagram).<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPUuS411ATOvMaZ1tkH5byWfSt8mcRt-eUYpHiLbUJn9K3zFWHDC7BpvT4QkJkBtlunhfoEhniQNJhsVEf6vRTfsxS3uhBgZVA0kvO0ktQfqGTbBYTuYVFO1mZNCjvgBaApuZokf5osj-S/s1600/diagram+factor+72.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPUuS411ATOvMaZ1tkH5byWfSt8mcRt-eUYpHiLbUJn9K3zFWHDC7BpvT4QkJkBtlunhfoEhniQNJhsVEf6vRTfsxS3uhBgZVA0kvO0ktQfqGTbBYTuYVFO1mZNCjvgBaApuZokf5osj-S/s400/diagram+factor+72.PNG" /></a><br />
Daripada gambarajah, faktor perdana kepada 72 adalah 2 dan 3.</div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com17tag:blogger.com,1999:blog-2949600807561872754.post-47128622777235514412012-12-08T13:46:00.002-08:002012-12-19T01:59:34.496-08:00Bab 2.4 Faktor<u><b>2.4 Faktor</b></u><br />
<br />
Faktor (factor) suatu nombor bulat yang diberi adalah, nombor yang boleh dibahagikan dengan nombor tersebut dengan tepat.<br />
<br />
1 dan nombor itu sendiri adalah faktor kepada sebarang nombor yang diberi.<br />
<br />
<br />
<b><u>Menyenaraikan faktor nombor bulat.</u></b><br />
Contoh:<br />
Cari semua faktor bagi:<br />
<br />
18<br />
Jwb:<br />
18 ÷ 1 = 18<br />
18 ÷ 2 = 9<br />
18 ÷ 3 = 6<br />
18 ÷ 6 = 3<br />
18 ÷ 9 = 2<br />
18 ÷ 18 = 1<br />
<br />
18 boleh dibahagikan dengan 1, 2, 3, 6, 9 dan 18. Oleh itu, faktor kepada 18 adalah 1, 2, 3, 6, 9 dan 18.<br />
<br />
50<br />
Jwb:<br />
50 ÷ 1 = 50<br />
50 ÷ 2 = 25<br />
50 ÷ 5 = 10<br />
50 ÷ 10 = 5<br />
50 ÷ 25 = 2<br />
50 ÷ 50 = 1<br />
<br />
50 boleh dibahagikan dengan 1, 2, 5, 10, 25 dan 50. Oleh itu, faktor kepada 50 adalah 1, 2, 5, 10, 25 dan 50.<br />
<br />
<br />
<b><u>Menentukan samada suatu nombor itu adalah faktor kepada nombor bulat yang lain.</u></b>Contoh:<br />
Tentukan samada;<br />
<br />
7 adalah faktor kepada 119.<br />
Jwb:<br />
119 ÷ 7 = 17<br />
119 boleh dibahagikan dengan tepat oleh 7. Oleh itu, 7 adalah factor kepada 119.<br />
<br />
4 adalah faktor kepada 599.<br />
Jwb:<br />
599 tidak boleh dibahagi dengan tepat oleh 4. Oleh itu, 4 adalah bukan faktor kepada 599.Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com2tag:blogger.com,1999:blog-2949600807561872754.post-64717188171625413422012-12-08T13:45:00.001-08:002012-12-19T07:21:41.631-08:00Bab 2.3 Nombor Perdana<u><b>2.3 Nombor Perdana</b></u><br />
<br />
Nombor perdana (prime number) adalah nombor bulat yang hanya boleh dibahagikan dengan dirinya sendiri dan nombor 1 (the number itself and number 1). Oleh itu, nombor perdana mempunyai hanya dua pembahagi (nombor itu sendiri dan nombor 1).<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dx3IYo3S1723XSaT7j6xruSDLC3yrHUF9x67croK3qNUhcnT7COZmoDgBRGQDKYtDRSj_1hAbzucuSu7Tm2ZA' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<div class="separator" style="clear: both; text-align: center;">
lagu nombor perdana</div>
<br />
<br />
Nombor perdana terkecil ialah nombor 2, satu-satunya nombor genap yang merupakan nombor perdana.<br />
<br />
Nombor perdana yang kurang daripada 50 adalah 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 dan 47.<br />
<br />
Nombor 1 adalah <b>BUKAN</b> nombor perdana (NOT a prime number).<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjA0UVCQJFfMBvrTwxRaTX2Y_A4q2c2tdr1hB1GUlI0UX1E0Ry2nwgxuW_aA2kNrpdyDgx7ioIcwfWToIhrxCFqPFZeCOk5GIg7yNUneKmTsKFQNspQS74QPXvpPqaHucwnrKPdOPjgzDuV/s1600/prime-num-chart-600x200.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjA0UVCQJFfMBvrTwxRaTX2Y_A4q2c2tdr1hB1GUlI0UX1E0Ry2nwgxuW_aA2kNrpdyDgx7ioIcwfWToIhrxCFqPFZeCOk5GIg7yNUneKmTsKFQNspQS74QPXvpPqaHucwnrKPdOPjgzDuV/s1600/prime-num-chart-600x200.jpg" /></a></div>
<br />
<br />
<br />
<b><br /></b>
<br />
<div>
<b><u>Menentukan samada nombor yang diberi adalah nombor perdana</u></b><br />
<br />
Contoh:<br />
Tentukan samada setiap nombor berikut adalah nombor perdana.<br />
13<br />
Jwb:<br />
13 ÷ 1 = 13<br />
13 ÷ 13 = 1<br />
13 hanya boleh dibahagi dengan 1 dan 13 → (2 pembahagi/divisors)<br />
Oleh itu, 13 adalah nombor perdana.<br />
<br />
51<br />
Jwb:<br />
51 ÷ 1 = 51<br />
51 ÷ 3 = 17<br />
51 ÷ 17 = 3<br />
51 ÷ 51 = 51<br />
51 boleh dibahagi dengan 1, 3, 17 dan 51 → (4 pembahagi/divisors)<br />
Oleh itu, 51 bukan nombor perdana.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNqzjdyvaGhWZxNiWv91_jln19gtRihOjMKOdgBR4GncL91QNmmp7Mr1yDSg9M5XNSpXp1IeGR34GvJp25rMOQZMUEvGBOh0DvvHmegWauqdVW9QO4rT6-wBWx8_hUeyjnRlYnJft6fY9s/s1600/perdana.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNqzjdyvaGhWZxNiWv91_jln19gtRihOjMKOdgBR4GncL91QNmmp7Mr1yDSg9M5XNSpXp1IeGR34GvJp25rMOQZMUEvGBOh0DvvHmegWauqdVW9QO4rT6-wBWx8_hUeyjnRlYnJft6fY9s/s400/perdana.png" width="331" /></a></div>
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Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com2tag:blogger.com,1999:blog-2949600807561872754.post-88133397865587321662012-12-08T13:43:00.003-08:002012-12-19T01:59:34.516-08:00Bab 2.2 Nombor Ganjil dan Genap<b><u>2.2 Nombor Ganjil dan Genap</u></b><br />
<br />
Nombor 1, 3, 5, 7, ... dikenali sebagai nombor ganjil (odd numbers).<br />
<br />
<br />
Nombor 2, 4, 6, 8, ... dikenali sebagai nombor genap (even numbers).<br />
<br />
<br />
<b><u>Mengenal pasti dan menerangkan nombor ganjil dan genap.</u></b><br />
<br />
Contoh 1:<br />
Kenal pasti serta nyatakan kesemua nombor ganjil dan genap yang terdapat dalam urutan nombor 16, 21, 26, 31, ..., 71.<br />
<br />
Jwb:<br />
Nombor-nombor ganjil adalah 21, 31, 41, 51, 61 dan 71. Nombor-nombor ini membentuk satu urutan nombor yang diperolehi dengan menambah 10 pada nombor sebelumnya.<br />
<br />
Nombor genap 16, 26, 36, 46, 56 dan 66. Nombor-nombor ini membentuk satu urutan nombor yang diperolehi dengan menambah 10 pada nombor sebelumnya.<br />
<br />
<br />
Contoh 2:<br />
<br />
3 + 5 = 8<br />
7 + 13 = 20<br />
19 + 25 = 24<br />
<br />
Penyataan am mengenai jumlah / hasil tambah dua nombor ganjil.<br />
Nombor Ganjil + Nombor Ganjil = Nombor Genap<br />
Hasil tambah dua nombor ganjil adalah nombor genap.Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com1tag:blogger.com,1999:blog-2949600807561872754.post-82265721250890230732012-12-08T13:41:00.002-08:002012-12-19T06:41:57.226-08:00Bab 2.1 Pola Nombor dan Urutannya<u><b>2.1 Pola Nombor dan Urutannya</b></u><br />
<br />
Nombor-nombor yang disusun dalam corak tertentu dikenali sebagai urutan (sequence).<br />
<br />
Corak urutan nombor (number sequence) boleh ditentukan dengan menambah, menolak, mendarab atau membahagikan 'nombor dalam urutan yang sebelumnya', dengan bilangan/nombor-nombor tertentu.<br />
<br />
<br />
<b><u>Urutan Fibonacci (Fibonacci Sequence)</u></b><br />
<br />
Ahli matematik telah mengkaji corak selama berabad-abad. Corak nombor 1, 1, 2, 3, 5, 8, ...dipanggil urutan Fibonacci.<br />
<br />
Urutan ini bermula dengan 1, 1 dan setiap selepas sebutan (term) yang kedua, diperolehi dengan menambah dua sebutan (term) sebelumnya yang terdapat dalam urutan.<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-dii6ZxrAfOWDL6nkHG6EEJIx20SC2GeF0ZEq6o-5P4fD_boDrxDQckj3PX2bcgnRXyWgSDz5d2Yz92J9hXIjVS7cJsQnDbqaNOyz6Q5oo0w_ndnPcVt9PYsJ4OD5uQaXvOBa8VRQzzD2/s1600/fibonacci+sequence.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-dii6ZxrAfOWDL6nkHG6EEJIx20SC2GeF0ZEq6o-5P4fD_boDrxDQckj3PX2bcgnRXyWgSDz5d2Yz92J9hXIjVS7cJsQnDbqaNOyz6Q5oo0w_ndnPcVt9PYsJ4OD5uQaXvOBa8VRQzzD2/s400/fibonacci+sequence.PNG" /></a><br />
<br />
<br />
<b><u>Menggambarkan corak/pola urutan nombor</u></b><br />
<br />
Gambarkan corak setiap urutan nombor berikut:<br />
<br />
5, 12, 19, 26, ...<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDxVplNeSUXlwIrBttMIWjNA5i0z5WXRNAGMaEbZPc8XAQalYrUyGxua00XxyBhLPCmVTLo3uptPJYnNqqPuXWe07gWoFlcGbnUQ_hbs9F8GtqU7tk7tjC-L5Hw2bwUuebns2uwVMXM9o3/s1600/sequence+plus.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDxVplNeSUXlwIrBttMIWjNA5i0z5WXRNAGMaEbZPc8XAQalYrUyGxua00XxyBhLPCmVTLo3uptPJYnNqqPuXWe07gWoFlcGbnUQ_hbs9F8GtqU7tk7tjC-L5Hw2bwUuebns2uwVMXM9o3/s1600/sequence+plus.PNG" /></a><br />
Corak urutan nombor 5, 12, 19, 26, ... diperolehi dengan menambah (adding) 7 pada nombor sebelumnya (nombor dalam urutan).<br />
<br />
<br />
1, 4, 16, 64, ...<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrlIACRSCTVFAIjEYJj-IIMgPZfs9hwMW7mxrnHI6ZdOVi9DJ4mu-JB8fRKu9hMSlNerMrGNHq5RFKVqM31vdqfvCO-SUBvAqpVH264e7v1h_C5dbo6V3yoqR4cxBTsywCKPQCEDN0tGef/s1600/sequence+multiply.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrlIACRSCTVFAIjEYJj-IIMgPZfs9hwMW7mxrnHI6ZdOVi9DJ4mu-JB8fRKu9hMSlNerMrGNHq5RFKVqM31vdqfvCO-SUBvAqpVH264e7v1h_C5dbo6V3yoqR4cxBTsywCKPQCEDN0tGef/s1600/sequence+multiply.PNG" /></a><br />
Corak urutan nombor 1, 4, 16, 64, ... diperolehi dengan mendarabkan (multiplying) nombor dalam urutan sebelumnya dengan 4.<br />
<br />
<br />
40, 35, 30, 25, ...<br />
Jwb:<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-bHaBYv9iPax_thVo5AexGRT9FB0KBoH0CTSgicDwzzzFsewz7h2uwPYH5EpWnw5nXMGxKn_J7JEL-UHldznZKGbYCmfACYxQuMbu7pw48EeYsyscNkyncEiRJNfIGSjw1d9GuGmiXoQA/s1600/sequence+subtract.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-bHaBYv9iPax_thVo5AexGRT9FB0KBoH0CTSgicDwzzzFsewz7h2uwPYH5EpWnw5nXMGxKn_J7JEL-UHldznZKGbYCmfACYxQuMbu7pw48EeYsyscNkyncEiRJNfIGSjw1d9GuGmiXoQA/s1600/sequence+subtract.PNG" /></a><br />
Corak urutan nombor 40, 35, 30, 25, ... diperolehi dengan menolakkan (subtracting) 5 dari nombor sebelumnya (nombor dalam urutan).<br />
<br />
<br />
144, 72, 36, 18, ...<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitGbAyX90LyIyc7nNnTsfwxzN3NJ958V5bAfiFcr1W1MOzS05wRS0AzMHtHf5rC17NGFaYanthJ7DsSLeeoFQRV9LkkoVutjJOmvdEC7-nsY1t_AspFAXkn-A2CsCNQErHEACFCJ5KmAUy/s1600/sequence+divide.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitGbAyX90LyIyc7nNnTsfwxzN3NJ958V5bAfiFcr1W1MOzS05wRS0AzMHtHf5rC17NGFaYanthJ7DsSLeeoFQRV9LkkoVutjJOmvdEC7-nsY1t_AspFAXkn-A2CsCNQErHEACFCJ5KmAUy/s1600/sequence+divide.PNG" /></a><br />
Corak urutan nombor 144, 72, 36, 18, ... diperolehi dengan membahagikan (dividing) nombor dalam urutan sebelumnya dengan 2.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dyd94sw7XdZcSDC68_jPDXwBjp-Mpo6cFpIG0YnbY4n_rZNebOnWixGcNdj8hBMr36jBnbg1nWAEvjhfjCrWg' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<br />Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com10tag:blogger.com,1999:blog-2949600807561872754.post-4758142029028238332012-12-08T13:39:00.000-08:002012-12-26T15:46:16.243-08:00Bab 3 : Pecahan<br />
<b><u>Memahami Pecahan</u></b><br />
<div>
<br />
Apabila satu unit dari keseluruhan kuantiti dibahagikan kepada bahagian yang sama, mana-mana bahagian dalam kuantiti tersebut dipanggil sebagai pecahan unit (fractions of the unit).<br />
<br />
<br />
Jadual dibawah menunjukkan bagaimana pecahan dibaca.<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwGQwS-P9lALkzhWi-ayanEfQRqjzxCZOBcg7tQmJ8R3DbLarerEbm8uDn8C2ubuDADWdxWlxaqu9OIMQ3ta4-zY8CTy4Ayuu6TNkCkd2L4_X297qFFjQCDdvqyEHd1yg7HH1ngnlF_zw2/s1600/fraction.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwGQwS-P9lALkzhWi-ayanEfQRqjzxCZOBcg7tQmJ8R3DbLarerEbm8uDn8C2ubuDADWdxWlxaqu9OIMQ3ta4-zY8CTy4Ayuu6TNkCkd2L4_X297qFFjQCDdvqyEHd1yg7HH1ngnlF_zw2/s400/fraction.PNG" /></a><br />
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<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dyKPt_eagFZbkghTsqAkLrSdcaet1Y7-v4d42srfToeYTCzKd5hQYoB8rrbAdjDujx-DfLvo6_l3HIqqSue3Q' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<div class="separator" style="clear: both; text-align: center;">
membaca pecahan</div>
<br />
<br />
<br />
Pecahan adalah nombor yang mewakili satu atau lebih bahagian yang sama dibahagikan daripada keseluruhannya. Contohnya, Dalam rajah dibawah, setiap bahagian adalah 1 daripada 6 bahagian yang sama.<br />
<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-e2kBi9yzezxVUWz6TZoBz9CGeGE6ri7Vg_YyOWF-pMDWlTcxN2NSTny6qpQtdSO78w9mqZN3uDKM7iEke8CefBSG32GzHNGgqoQSnyMTF6VRRmnPSxbWkA3o-hBMdEX8YiAMIab_dEU_/s1600/hexagon.JPG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-e2kBi9yzezxVUWz6TZoBz9CGeGE6ri7Vg_YyOWF-pMDWlTcxN2NSTny6qpQtdSO78w9mqZN3uDKM7iEke8CefBSG32GzHNGgqoQSnyMTF6VRRmnPSxbWkA3o-hBMdEX8YiAMIab_dEU_/s1600/hexagon.JPG" /></a><br />
<br />
<br />
Pecahan juga boleh digunakan untuk menamakan sebahagian daripada koleksi atau satu set objek atau kumpulan. Contohnya,<br />
<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYzMEk8gB_h1vaMMMHfx0rJBN2Yc29J9dFRXMAS9ZBIPOAFzbuaBbRZpRfoXfcpUYv4czJJwLfDbCLJ7kdIQdSvjimxDmv5WQ0qDi7rVxOnp7lbwZzisKbboE9qpscP0bFpIu4RGRXuW4c/s1600/pencil.jpg"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYzMEk8gB_h1vaMMMHfx0rJBN2Yc29J9dFRXMAS9ZBIPOAFzbuaBbRZpRfoXfcpUYv4czJJwLfDbCLJ7kdIQdSvjimxDmv5WQ0qDi7rVxOnp7lbwZzisKbboE9qpscP0bFpIu4RGRXuW4c/s1600/pencil.jpg" /></a><br />
Setiap pensil di atas adalah 1 daripada sekumpulan 4 pensel.<br />
<br />
<br />
Pecahan boleh diwakili oleh gambar rajah. Contohnya,<br />
<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiy0CfZq7yGPYahGMZsvSDKdt3Zhg5T4t0HmejAlFJWebZL0wbSvdEdxgkY9hBkqRk0NxAy49qkE_nZwpe_jitW-2x2iO03zxHk3mljElZcWhe7tPcdWYZckDIcm8kW3AfLRk_nthiPFhFf/s1600/one+over+nine.JPG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiy0CfZq7yGPYahGMZsvSDKdt3Zhg5T4t0HmejAlFJWebZL0wbSvdEdxgkY9hBkqRk0NxAy49qkE_nZwpe_jitW-2x2iO03zxHk3mljElZcWhe7tPcdWYZckDIcm8kW3AfLRk_nthiPFhFf/s1600/one+over+nine.JPG" /></a><br />
<br />
<br />
Bahagian-bahagian yang berlorek dalam gambar rajah adalah mewakili 8 bahagian daripada 9 bahagian yang sama. Dengan kata lain, 8/9 daripada gambar rajah.<br />
<br />
<br />
<br />
<b><u>Menulis pecahan.</u></b><br />
<br />
Pecahan ditulis dalam bentuk<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrcQ2-Q_vsjMCVb6MWPZxlqF6Jttq8_fe5p6suHULrpheNyJAvgNnZNnLWwxX2xxwX5neqU7g3YQhEU9BujQ50O3MBYcldQGR211h18UBhSFheh2OAHs2MKcWwAuaAg-VetPBBYXTehS3Y/s1600/fraction+form.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrcQ2-Q_vsjMCVb6MWPZxlqF6Jttq8_fe5p6suHULrpheNyJAvgNnZNnLWwxX2xxwX5neqU7g3YQhEU9BujQ50O3MBYcldQGR211h18UBhSFheh2OAHs2MKcWwAuaAg-VetPBBYXTehS3Y/s1600/fraction+form.PNG" /></a>, dimana a adalah pengangka (numerator) dan b adalah penyebut (denominator). Contohnya,<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSGm__7ruzDNJo-3et-wHVAx-LmAkd6q0BQFrvW2nwoZZDuzbWzaN3XJPBR5umA1ofpxBuLCOx9aucsHN3jfLGVZkH537b8qQPKDrtyLXr7mtr3NVNCn2FCVRsqIH8jcGIyZLIY_dO8fAv/s1600/numerator+denominator.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSGm__7ruzDNJo-3et-wHVAx-LmAkd6q0BQFrvW2nwoZZDuzbWzaN3XJPBR5umA1ofpxBuLCOx9aucsHN3jfLGVZkH537b8qQPKDrtyLXr7mtr3NVNCn2FCVRsqIH8jcGIyZLIY_dO8fAv/s1600/numerator+denominator.PNG" /></a></div>
<div>
<br />
Bilangan 1 adalah mewakili semua bahagian keseluruhannya.<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-axlRjMXwVSfcmwRk2VQzQz2oZx3b4wjTGE-enh8dYjo_NDcpYy1OutoLSnoQ5r6SnNqSp8Xxhx8RgJqasBgFzg8VNvmrt76mTohMc7RTc3pF7DzzCddQ7U0RobuvqZ9mdry3DkjWxp7S/s1600/four+over+four.JPG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-axlRjMXwVSfcmwRk2VQzQz2oZx3b4wjTGE-enh8dYjo_NDcpYy1OutoLSnoQ5r6SnNqSp8Xxhx8RgJqasBgFzg8VNvmrt76mTohMc7RTc3pF7DzzCddQ7U0RobuvqZ9mdry3DkjWxp7S/s1600/four+over+four.JPG" /></a><br />
<br />
Contoh 1:<br />
Apakah pecahan yang diwakili oleh bahagian-bahagian yang berlorek dalam setiap gambar rajah di bawah?<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsZCBK4W0aq3dMbS4HGjn6R3IbRKXGyXS0ATxiX5lylio3IOjqibf9fjn0KYJbfBPv8SgnkvXejWb4_C59pMwzq1bGdSgcZbQIN8CngqCu94tEnGDSzA89k8OneB28UIeS2Pnfj92-bn-d/s1600/five+over+eight.JPG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsZCBK4W0aq3dMbS4HGjn6R3IbRKXGyXS0ATxiX5lylio3IOjqibf9fjn0KYJbfBPv8SgnkvXejWb4_C59pMwzq1bGdSgcZbQIN8CngqCu94tEnGDSzA89k8OneB28UIeS2Pnfj92-bn-d/s1600/five+over+eight.JPG" /></a> <br />
Jwb: 5/8<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibxGlfLddebcF92YSwfJVNYUXI_8xAAD7Qqk18vYTuNZ_cO9l_EfSdfoPg1tPGidzp3pbGDz7KjJqxJ7zEGKH4T6CCMeR69AF0RidiFZ3FdUi0EoWg-tMRiQ0JnJlonF5dwuFUBllNzFOp/s1600/triangle+one+over+four.JPG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibxGlfLddebcF92YSwfJVNYUXI_8xAAD7Qqk18vYTuNZ_cO9l_EfSdfoPg1tPGidzp3pbGDz7KjJqxJ7zEGKH4T6CCMeR69AF0RidiFZ3FdUi0EoWg-tMRiQ0JnJlonF5dwuFUBllNzFOp/s200/triangle+one+over+four.JPG" /></a><br />
Jwb: 1/4<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhB2hfzqZgiGS4k2oMvJuBZpt9pJObqMmBGnhp8pjc38zj-tQaOqRL_jVm9F3pRH2-z2ymYay91VURZy-8BTAwIauENN6i0n4JVBzMlD441zwENMN9A1_onnD7EQ5wLGNlaj7dJ6gzJ_9pl/s1600/heart+half.JPG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhB2hfzqZgiGS4k2oMvJuBZpt9pJObqMmBGnhp8pjc38zj-tQaOqRL_jVm9F3pRH2-z2ymYay91VURZy-8BTAwIauENN6i0n4JVBzMlD441zwENMN9A1_onnD7EQ5wLGNlaj7dJ6gzJ_9pl/s1600/heart+half.JPG" /></a><br />
Jwb: 3/6 = 1/2<br />
<br />
<div style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dzwaxuGAtJs4yP0qBZLHXV_A9opA3oO60LgYngCISTp3lW_OqQKvP5AP8h08fiIcELYfv2m_zYyTgrDNhyklQ' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
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</div>
<u><b>video kira pecahan.</b></u><br />
<div>
<u><b><br /></b></u></div>
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<u><b><br /></b></u></div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-26493778983140561812012-12-08T13:31:00.003-08:002012-12-19T02:00:24.962-08:00Bab 1.4 Operasi gabungan (Combined operation)<b><u>1.4 Operasi gabungan (Combined operation)</u></b><br />
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<span style="text-align: start;"><br /></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLoALh7q6eEk_9opJBDATjGh2ZjJxFcrtxdYbRPJREW8UzDhbkDlfMLN-As05LlxHNLVAOuTUaapeEaI93EGCFEiU7LocQlgZZmraqTYtyGKMobddS6isJYA2KGKxV7Rxy_RFaRQ-yE9ry/s1600/m2.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLoALh7q6eEk_9opJBDATjGh2ZjJxFcrtxdYbRPJREW8UzDhbkDlfMLN-As05LlxHNLVAOuTUaapeEaI93EGCFEiU7LocQlgZZmraqTYtyGKMobddS6isJYA2KGKxV7Rxy_RFaRQ-yE9ry/s1600/m2.PNG" /></a></div>
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<br />
<b><u>Pengiraan yang melibatkan kombinasi penambahan dan pengurangan (Addition and subtraction)</u></b><br />
<br />
Nilaikan<br />
334 + 729 - 507<br />
334 + 729 - 507 = 1 063 - 507<br />
= 556<br />
<div>
<br />
2 435 - 342 + 250<br />
2 435 - 342 + 250 = 2 093 + 250<br />
= 2 343<br />
<br />
<br />
<b><u>Pengiraan yang melibatkan kombinasi pendaraban dan pembahagian (Multiplication and division)</u></b><br />
<br />
Nilaikan<br />
72 x 50 ÷ 18<br />
72 x 50 ÷ 18 = 3 600 ÷ 18<br />
= 200<br />
<br />
567 ÷ 7 x 3<br />
567 ÷ 7 x 3 = 81 x 3<br />
= 243<br />
<br />
<b><u>Pengiraan yang melibatkan kombinasi + , - , x dan ÷</u></b><br />
Kira<br />
16 x 9 + 55 ÷ 11</div>
<div>
Lakukan operasi x dan ÷ dahulu<br />
16 x 9 + 55 ÷ 11 = 144 + 5<br />
= 149<br />
<br />
136 ÷ 8 x 4 - 23<br />
Lakukan operasi ÷ dan x dahulu, dari kiri ke kanan<br />
136 ÷ 8 x 4 - 23 = 17 x 4 - 23<br />
= 68 - 23<br />
= 45<br />
<br />
<br />
<b><u>Pengiraan yang melibatkan kombinasi</u></b><br />
<br />
Dapatkan nilai setiap yang berikut.<br />
<br />
272 ÷ (40 - 8 x 3) + 57<br />
Lakukan pendaraban dahulu diikuti dengan pengurangan, di dalam kurungan.<br />
272 ÷ (40 - 24) + 57 = 272 ÷ 16 + 57<br />
Lakukan pembahagian dahulu diikuti dengan penambahan<br />
= 17 + 57<br />
= 74<br />
<br />
(7 x 9 + 5)(10 - 21 ÷ 7)<br />
Lakukan pendaraban dan pembahagian dahulu<br />
= (63 + 5)(10 - 3)<br />
Kemudian lakukan penambahan dan pengurangan<br />
= (68)(7)<br />
= 476<br />
<br />
<br />
<b><u>Penyelesaian masalah melibatkan operasi gabungan</u></b><br />
<br />
Pak Ali menjualkan tanahnya pada harga RM473 000. Setelah dia menyimpan RM95 000 di bank, Pak Ali berhasrat untuk mengagih baki wang tersebut kepada 8 orang anaknya secara sama-rata. Dapatkan jumlah wang yang akan diterima oleh setiap anaknya.<br />
<br />
Jwb:<br />
Jumlah wang yang akan diterima oleh setiap anaknya<br />
= RM(473 000 - 95 000) ÷ 8<br />
= RM378 000 ÷ 8<br />
= RM47 250</div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-45376799799754745642012-12-08T13:26:00.000-08:002012-12-19T02:00:24.966-08:00Bab 1.3 Pendaraban & Pembahagian<b><u>1.3 Pendaraban & Pembahagian</u></b><br />
<br />
Pendaraban (multiplication) adalah proses mencari produk terdiri daripada dua atau lebih nombor. Simbol bagi pendaraban adalah 'x' dan dibaca sebagai 'darab' (multiply).<br />
<br />
Pembahagian (division) adalah proses mencari hasil bahagi suatu nombor dengan nombor lain yang mana bukan sifar. Simbol bagi pembahagian adalah '÷' dan dibaca sebagai 'bahagi' (divide).<br />
<br />
<b>Mendarabkan dua nombor</b><br />
<br />
347 x 24<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFuxFIBICqNkoYXwKUWjLxwW6L5ekqniLpSdmTwt5emAcPg4tPec_Rb_v-3HBz60FQ1QM0ml3ZDNTod48XX4e7F_2nb1OnO-jmt17z9fTDvHdqN0CGFDtJ5xXhTmq5TRbT73LC-04qWZ3f/s1600/multiply01.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFuxFIBICqNkoYXwKUWjLxwW6L5ekqniLpSdmTwt5emAcPg4tPec_Rb_v-3HBz60FQ1QM0ml3ZDNTod48XX4e7F_2nb1OnO-jmt17z9fTDvHdqN0CGFDtJ5xXhTmq5TRbT73LC-04qWZ3f/s1600/multiply01.PNG" /></a><br />
347 x 24 = 8 328<br />
<br />
<br />
826 x 415<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilwee_9LtTV8Cw_NnbE4_SZQL7x7q9zVKI_X1pIgde22nABQYYuXfroQmxUGeLBGmkHyJQsBnI6wWIRin0mvx8rZkPO5iVeIp4ffa9SxX4oHHsWfR4iayCVWY1R1dQwCO0OlntXI8A8_i2/s1600/multiply02.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilwee_9LtTV8Cw_NnbE4_SZQL7x7q9zVKI_X1pIgde22nABQYYuXfroQmxUGeLBGmkHyJQsBnI6wWIRin0mvx8rZkPO5iVeIp4ffa9SxX4oHHsWfR4iayCVWY1R1dQwCO0OlntXI8A8_i2/s1600/multiply02.PNG" /></a><br />
826 x 415 = 342 790<br />
<div>
<br />
Contoh:<br />
Satu rim kertas bersaiz A4 mengandungi 485 helai. Sebuah pusat fotokopi menggunakan 36 rim kertas bersaiz A4 sehari. Kira jumlah helai kertas bersaiz A4 yang digunakan dalam sehari oleh pusat fotokopi tersebut.<br />
Jwb:<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfA7rkePwhWNKfdNpCnEBOboaALfstu5zfvQN21YswYyNUBMtQXhAE0JahnjghWEKoZPVFdcjgXb3UdWogIeQrb2XlWU8KfrS-D8TKwQzAioR_gWY2KpsSoFKcYZ5dYcjsqRg-BYqbzRS4/s1600/photocopy.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfA7rkePwhWNKfdNpCnEBOboaALfstu5zfvQN21YswYyNUBMtQXhAE0JahnjghWEKoZPVFdcjgXb3UdWogIeQrb2XlWU8KfrS-D8TKwQzAioR_gWY2KpsSoFKcYZ5dYcjsqRg-BYqbzRS4/s1600/photocopy.PNG" /></a></div>
<div>
Jumlah helai kertas bersaiz A4 yang digunakan dalam sehari oleh pusat fotokopi tersebut adalah 17 460 helai.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dxilq8ia4Gjfg2wwwIjqdvx7s_nqAL5mMhTDEpiPUdEMQjLNR5pVBIKQdQBXaMxX-xipA_L6tBUGXnLlIDsGQ' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<div class="separator" style="clear: both; text-align: center;">
video asas pendaraban.</div>
<br />
<b>Membahagikan nombor bulat dengan nombor bulat yang lebih kecil</b><br />
<br />
534 ÷ 3<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnzY1_4K5zrsTJL3-AT_nGjZyDv3zm68sr1fK_zvImDC1jHCrhOGDkR5C3gWyoLFd0Vl9IUO9Wb7IcRBXYzUfgTLtnHS0bL2rZd4aDE2CfZeN0bQRToWJX4fAFnF9qW_r_i2bMRwtIYhbv/s1600/divide01.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnzY1_4K5zrsTJL3-AT_nGjZyDv3zm68sr1fK_zvImDC1jHCrhOGDkR5C3gWyoLFd0Vl9IUO9Wb7IcRBXYzUfgTLtnHS0bL2rZd4aDE2CfZeN0bQRToWJX4fAFnF9qW_r_i2bMRwtIYhbv/s1600/divide01.PNG" /></a><br />
Hasil bahagi 534 ÷ 3 adalah 178.<br />
<br />
<br />
5 649 ÷ 21<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibJtopUWNIIduIAyNZXGRhL4IDg8wdMTqKTz7wjZC4rCA8CbuG2iaUiReswSUNem3xOvnnSRC8A0nxcVxhRyxSKq1l7iOgQHQ4Z_0n-7-9193FaozlQe3qneh4TydS8zCPkJOuyWE68Ubw/s1600/divide02.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibJtopUWNIIduIAyNZXGRhL4IDg8wdMTqKTz7wjZC4rCA8CbuG2iaUiReswSUNem3xOvnnSRC8A0nxcVxhRyxSKq1l7iOgQHQ4Z_0n-7-9193FaozlQe3qneh4TydS8zCPkJOuyWE68Ubw/s1600/divide02.PNG" /></a><br />
Hasil bahagi 5 649 ÷ 21 adalah 269.<br />
<br />
<br />
4 533 ÷ 8<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7esS9gYdKvIX7BsoXPgURURIyLSOaVrKxPX1ziocftXO5PrZGOrmRT56IF3GeykwH7w_Z0ZT-6N5JtGj_wn_h-sj42c915b4Zgl4t4i_DEXIn4yOxC2FkOMrEx60Nvu0L6JfN2vMh_RyP/s1600/bahagi+berbaki.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7esS9gYdKvIX7BsoXPgURURIyLSOaVrKxPX1ziocftXO5PrZGOrmRT56IF3GeykwH7w_Z0ZT-6N5JtGj_wn_h-sj42c915b4Zgl4t4i_DEXIn4yOxC2FkOMrEx60Nvu0L6JfN2vMh_RyP/s1600/bahagi+berbaki.PNG" /></a><br />
Hasil bahagi 4 533 ÷ 8 = 566 berbaki 5.</div>
<div>
<br />
Contoh:<br />
Sebuah badan bukan kerajaan ingin mengagihkan bantuan 525 buah basikal kepada 7 buah sekolah terpilih dalam daerah Alor Gajah. Jika basikal tersebut diagihkan sama-rata untuk setiap sekolah, berapa buah basikal yang akan diterima oleh setiap sekolah?<br />
Jwb:<br />
525 ÷ 7<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHQdJ66Mai0DU-pZgRxZQ6_ffmYe7wZDboarX9xsXOoIpoLXq3Sovj9KUJm1LWjWzyClt0ZfJ2Itxhn4BBG2eF1ZCFIHOkJm6gK8GBN4QHjnHJDrrqgtcvq_OVJNrYVz5DUwrFL-advXap/s1600/bicycle.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHQdJ66Mai0DU-pZgRxZQ6_ffmYe7wZDboarX9xsXOoIpoLXq3Sovj9KUJm1LWjWzyClt0ZfJ2Itxhn4BBG2eF1ZCFIHOkJm6gK8GBN4QHjnHJDrrqgtcvq_OVJNrYVz5DUwrFL-advXap/s1600/bicycle.PNG" /></a></div>
<div>
Jumlah basikal yang akan diterima oleh setiap sekolah = 525 ÷ 7 = 75 buah basikal.<br />
<br />
***<br />
<br />
Hasil bahagi sebarang nombor yang dibahagi dengan sifar (zero) adalah tidak dapat ditakrifkan.<br />
Contoh: 7 ÷ 0 adalah tidak dapat ditakrifkan.<br />
<br />
Hasil bahagi apabila sifar dibahagikan dengan sebarang nombor (kecuali sifar) ialah sifar.<br />
Contoh: 0 ÷ 7 = 0.</div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-1921166498235472012-12-08T13:23:00.001-08:002012-12-19T02:00:24.954-08:00Bab 1.2 Penambahan & Penolakan<b><u>1.2 Penambahan & Penolakan</u></b><br />
<br />
Penambahan (addition) adalah proses penjumlahan dua nombor atau lebih. Simbol bagi penambahan adalah '+' dan dibaca sebagai 'tambah' (plus).<br />
<br />
<br />
Pengurangan / penolakan (subtraction) adalah proses mencari perbezaan atau baki (hasil tolakan dua nombor). Simbol bagi pengurangan / penolakan adalah '-' dan dibaca sebagai 'tolak' (minus).<br />
<br />
<b><u><br /></u></b>
<br />
<div>
<b><u>Penambahan nombor bulat</u></b><br />
<br />
Cari nilai setiap yang berikut<br />
<br />
3 909 + 8 527<br />
<br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXLjkn3LWQlvn-SR8HQOQPMbwFedu8VksHqMqhKnoSXZnY6CwdBEm9nsjbf684PjlrrF3Z6fZqrQ8uVKEDAiJOsczUh11VrER9d8-pzBX2XArNk4960mYHMrjJsfV6s24XSrj8KN-e_RDA/s1600/plus.PNG" /><br />
3 909 + 8 527 = 12 436<br />
<br />
<br />
26 483 + 9 758 + 865<br />
<br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLACo2Eog7_-U_Elm-yIlQYzOLwPD0wZRHsTyoGntOfXAqOu2euDDwQouhjGDySS3wwezaGtKNdkhQjr9MdwycKVwx0Q6SwNQNmf7HCeStlKzIdAk26G_E_lt3A_wBG7nidd7JWacoeqQ2/s1600/plus+b.PNG" /></div>
<div>
26 483 + 9 758 + 865 = 37 106</div>
<div>
<br />
Contoh:<br />
Kampung A, B dan C mempunyai populasi penduduk 9 452, 13 337 dan 5 087. </div>
<div>
Kira jumlah populasi penduduk untuk tiga kampung tersebut.<br />
<br />
Jwb:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfvzJLeDREZcxD_Gc3LBjrj0oC8CdWSC2tRVs_Z7EQI1reWAvYfAHerSu49T1u-V2M06XlKJw30pmMaX4_P2mOESZfBj-iqJCJTsHot9RThIQOdYppohMwzvTE_ZWhZT-O1re9jtkogPFp/s1600/populasi+kampung.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfvzJLeDREZcxD_Gc3LBjrj0oC8CdWSC2tRVs_Z7EQI1reWAvYfAHerSu49T1u-V2M06XlKJw30pmMaX4_P2mOESZfBj-iqJCJTsHot9RThIQOdYppohMwzvTE_ZWhZT-O1re9jtkogPFp/s1600/populasi+kampung.PNG" /></a><br />
Jumlah populasi penduduk untuk kampung A, B dan C adalah 27 876.<br />
<br />
<br />
<b><u>Penolakan nombor bulat</u></b><br />
Cari nilai setiap yang berikut</div>
<div>
47 391 - 851<br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjh1hyphenhyphenCN9tEv8I33VqRWpYM40DgndwPdzJ98hL7rUMWOLz5_IBknTdI2L5uavRSakeYGqD7v_Yz1wfkObCVDeGy0hl2PgzBHvxVQLbtm7fkVmCsl6U1CvP2xlGav7Be4Ne4Eai-OyAocb5r/s1600/minus.PNG" /><br />
47 391 - 851 = 46 540<br />
<br />
<br />
238 472 - 79 586<br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9u6rnKD-b9Tlnl1-ZdWYA63VrEkcEQdw7YHQQ2Yx9jpbLE-Y1OsHzPS8A7bls0eIx7tUkbfCml5Ti2ElfJrb8bkd7WhqXhOQscrZ-Dt-b-MUjgRH3W9ebY4QaU2Zzn-MF9MyU0X3sDMhI/s1600/minus02.PNG" /><br />
238 472 - 79 586 = 158 886</div>
<div>
<br />
Contoh:<br />
Pada hari pertama pelancaran kereta jenama CAR, pengedar menerima tempahan 7 122 dan 5 908 unit untuk setiap model automatik dan manual. Cari perbezaan antara bilangan kereta jenama CAR model automatik dan model manual yang ditempah pada hari tersebut.<br />
Jwb:<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNhhk5zEqG_hCYYs39IsozBuFkKInPTLZU0ZKXGWRyZuOm1JQ0GyFMsNCn6zhsBtCZhkhNu5Pt3yPJ3WIRnSlclKn3tqNdOphAke9rURFDozzgo89mxolqg2raqPdm39P4vUpRbPfWj1ZS/s1600/car+difference.PNG"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNhhk5zEqG_hCYYs39IsozBuFkKInPTLZU0ZKXGWRyZuOm1JQ0GyFMsNCn6zhsBtCZhkhNu5Pt3yPJ3WIRnSlclKn3tqNdOphAke9rURFDozzgo89mxolqg2raqPdm39P4vUpRbPfWj1ZS/s1600/car+difference.PNG" /></a><br />
Perbezaan antara bilangan kereta jenama CAR model automatik dan model manual yang ditempah pada hari tersebut adalah sebanyak 1 214 unit.</div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com0tag:blogger.com,1999:blog-2949600807561872754.post-87881852625906909402012-12-08T13:18:00.000-08:002012-12-19T02:00:24.977-08:00Bab 1.1 Nombor Bulat<div>
<b><u>1.1 Nombor Bulat</u></b></div>
<br />
Nombor 0, 1, 2, 3, ..., 50 ..., 8614, ... yang digunakan dalam proses pengiraan dipanggil 'nombor bulat' (whole numbers).<br />
<br />
<br />
Nombor bulat terdiri daripada angka 0, 1, 2, 3, 4, 5, 6, 7, 8 dan 9 yang boleh ditulis dalam perkataan atau angka.<br />
<br />
Nombor 1, 2, 3, 4, ... dipanggil nombor tabii / asli (natural numbers). Set tiga titik dibelakang nombor-nombor tersebut menunjukkan bahawa corak terus-menerusnya yang juga dipanggil elipsis (ellipsis).<br />
<br />
Setiap angka nombor bulat mewakili nilai tertentu mengikut kedudukan nilai angka dalam nombor tersebut. Sebagai contoh, nilai bagi setiap angka dalam nombor 4,128,925 adalah seperti berikut;<br />
<br />
Juta - angka 4<br />
Ratus ribu - angka 1<br />
Puluh ribu - angka 2<br />
Ribu - angka 8<br />
Ratus - angka 9<br />
Puluh -angka 2<br />
Unit - angka 5<br />
<div>
<br />
Nilai bagi setiap angka dalam nombor boleh ditunjukkan dengan menggunakan jadual. Kedudukan angka dalam sesuatu nombor menunjukkan nilainya.</div>
<div>
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtAONtOb7UqwLoXLTw9gydF6ggDV9V6l-NzQdL_49XQhW03fzKIBFvruhim_AvsWRlittrMHXIgqhMlcpyZDtuKrjBv9y60ClMmO_RiDq_km0b_g3iRpoipDA7S1UuODRB0pgfjsuAv0td/s1600/m1.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtAONtOb7UqwLoXLTw9gydF6ggDV9V6l-NzQdL_49XQhW03fzKIBFvruhim_AvsWRlittrMHXIgqhMlcpyZDtuKrjBv9y60ClMmO_RiDq_km0b_g3iRpoipDA7S1UuODRB0pgfjsuAv0td/s1600/m1.PNG" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<br /><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dxviY7KbzE-7f69YyRNWVSpUMe60rzQiflsHUfLAYXGNZTVPM2buO4reDYTqVvLz5z1vKTa762dcIiYG7_WNg' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<div>
<br /></div>
<div>
<br />
<b><u>Menghitung nombor bulat</u></b><br />
<br />
<ul>
<li>Hitung dalam gandaan sepuluh dari 20 hingga 50 </li>
</ul>
(Jwb: 20, 30, 40, 50)<br />
<br />
<ul>
<li>Hitung dalam gandaan dua dari 4 hingga 20 </li>
</ul>
(Jwb: 4, 6, 8, 10, 12, 14, 16, 18, 20)<br />
<br />
<ul>
<li>Hitung dalam pengurangan lima dari 30 hingga 10 </li>
</ul>
(Jwb: 30, 25, 20, 15, 10)<br />
<br />
<ul>
<li>Hitung dalam pengurangan seratus dari 1100 hingga 500 </li>
</ul>
(Jwb: 1100, 1000, 900, 800, 700, 600, 500)</div>
<div>
<br /></div>
<div>
<br />
<u><b>Menulis nombor bulat dalam perkataan.</b></u><br />
<br />
1 020 (Jwb: Seribu dua puluh)<br />
19 503 (Jwb: Sembilan belas ribu lima ratus tiga)<br />
634 202 (Jwb: Enam ratus tiga puluh empat ribu dua ratus dua)<br />
1 007 032 (Jwb: Satu juta tujuh ribu tiga puluh dua)</div>
<div>
<br /></div>
<div>
<br />
<b><u>Menulis nombor bulat dalam bentuk angka</u></b><br />
<br />
Lima ratus tiga puluh empat (Jwb: 534)<br />
Dua belas ribu tujuh puluh (Jwb: 12 070)<br />
Lima ratus dua puluh empat ribu, dua ratus empat puluh dua (Jwb: 524 242)<br />
Dua puluh satu juta, tujuh ribu empat puluh lapan (Jwb: 21 007 048)</div>
<div>
<br /></div>
<div>
<b><u>Mengenal pasti nilai tempat</u></b><br />
<br />
24 763<br />
<br />
2 - puluh ribu<br />
4 - ribu<br />
7 - ratus<br />
6 - puluh<br />
3 - unit<br />
<br />
374 125<br />
<br />
3 - ratus ribu<br />
7 - puluh ribu<br />
4 - ribu<br />
1 - ratus<br />
2 - puluh<br />
5 - unit</div>
<div>
<br /></div>
<div>
<br />
<b><u>Mengenal pasti nilai angka dalam nombor bulat</u></b><br />
Kenal pasti nilai angka 6 dalam nombor 36 052<br />
Jwb: Nilai tempat angka 6 adalah ribu. Oleh itu nilai angka 6 adalah 6000.<br />
<br />
Kenal pasti nilai angka 7 dalam nombor 472 351<br />
Jwb: Nilai tempat angka 7 adalah puluh ribu. Oleh itu nilai angka 7 adalah 70 000.<br />
Nombor bulat boleh di'bundarkan' (rounded off) kepada nilai tempat tertentu mengikut ketepatan yang diperlukan.<br />
<br />
Kaedah untuk pembundaran (rounding off) nombor bulat kepada nilai tempat yang diberi adalah seperti berikut;<br />
<br />
Cari angka di sebelah kanan nilai tempat yang diberi.<br />
Jika angka ini adalah kurang dari 5, biarkan angka pada nilai tempat tersebut tidak berubah.<br />
Jika angka ini adalah 5 atau lebih, maka tambahkan 1 pada angka dalam nilai tempat yang diberi dan gantikan setiap angka di sebelah kanan dengan 0.</div>
<div>
<br /></div>
<div>
<br />
<b><u>Pembundaran nombor bulat</u></b><br />
<br />
Bundarkan 37 268 yang nilai yang terhampir<br />
<br />
<b>Ribu</b><br />
<br />
Nilai tempat yang diberi, ribu = 7.<br />
Angka disebelah kanan nilai tempat yang diberi adalah 2 (2<5 ).<br />
Biarkan angka 7 tidak berubah dan gantikan kesemua angka di sebelah kanan angka 7 dengan 0.Oleh itu pembundaran 37 268 kepada nilai ribu yang terhampir adalah 37 000.<br />
<br />
<br />
<b>Puluh ribu</b><br />
<br />
Nilai tempat yang diberi, puluh ribu = 3.<br />
Angka disebelah kanan nilai tempat yang diberi adalah 7 (7>5).<br />
Tambahkan 1 pada angka 3 dan gantikan kesemua angka di sebelah kanan angka 3 dengan 0.Oleh itu pembundaran 37 268 kepada nilai puluh ribu yang terhampir adalah 40 000.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dzJc7Cq2YgLkvIQAgQs4wUsaxsrAOOsuwhJcZnT0PhKt9llMxrJsTcA8BcpA5OgfOWu45yUIv4bNhThMYz9' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<div class="separator" style="clear: both; text-align: center;">
Video pembundaran nombor bulat</div>
<br /></div>
Anonymoushttp://www.blogger.com/profile/18371356762361147823noreply@blogger.com2