tag:blogger.com,1999:blog-30405143125720388462024-03-18T22:07:50.637-07:00MATH IS MY LIFEDengan Belajar dan Berdoa Segala sesuatnya akan menjadi mudah. purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-3040514312572038846.post-61771024662918237852012-12-09T00:03:00.000-08:002012-12-09T00:08:43.403-08:00Perbedaan antara matematika ekonomi dan matematika bisnis <div class="separator" style="clear: both; text-align: center;">
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<u><b style="mso-bidi-font-weight: normal;">Perbedaan <span style="mso-spacerun: yes;"> </span>antara matematika ekonomi dan matematika
bisnis</b></u></div>
<div class="MsoNormal" style="color: #38761d;">
<br /></div>
<div class="MsoNormal" style="color: #741b47;">
<b style="mso-bidi-font-weight: normal;">Matematika Ekonomi</b></div>
<div class="MsoNormal" style="color: #741b47;">
<b style="mso-bidi-font-weight: normal;">(Mathematical
economics)</b></div>
<div class="MsoNormal" style="color: #741b47;">
<br /></div>
<ul>
<li><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;"> <span style="font: 7.0pt "Times New Roman";"></span></span></span>Matematika ekonomi merupakan cabang ilmu ekonomi
yang tidak berbeda dengan keuangan negara atau perdagangan internasional. </li>
</ul>
<ul>
<li><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;"> <span style="font: 7.0pt "Times New Roman";">
</span></span></span>Matematika ekonomi digunakan untuk <span style="mso-spacerun: yes;"> </span>pendekatan dalam analisa ekonomi dengan menggunakan
<span style="mso-spacerun: yes;"> </span>symbol menggunakan simbol-simbol
matematis yang simbol matematis yang dinyatakan dalam suatu permasalahan <span style="mso-spacerun: yes;"> </span>ekonomi. </li>
</ul>
<ul>
<li><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;"> <span style="font: 7.0pt "Times New Roman";">
</span></span></span>Matematika ekonomi ini dapat digunakan <span style="mso-spacerun: yes;"> </span>dalam teori ekonomi makro atau mikro, keuangan
negara, ekonomi perkotaan dan sebagainya.</li>
</ul>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal" style="color: #741b47;">
<b style="mso-bidi-font-weight: normal;">Matematika Bisnis</b></div>
<div class="MsoNormal">
<br /></div>
<ul>
<li><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span>Matematika bisnis pada dasarnya tidak berbeda
dengan matematika ekonomi. Perbedaanya hanyalah terletak pada jenis <span style="mso-spacerun: yes;"> </span>penerapannya saja. </li>
</ul>
<ul>
<li><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span>Masalah--masalah ekonomi dan bisnis akan masalah
ekonomi dan bisnis akan selalu terkait dan kesemuanya dapat <span style="mso-spacerun: yes;"> </span>dianalisis secara matematis dengan <span style="mso-spacerun: yes;"> </span>memberikan symbol memberikan simbol-simbol
yang sesuai. </li>
</ul>
<ul>
<li><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span><span style="mso-spacerun: yes;"></span>Matematika bisnis lebih menekankan pada <span style="mso-spacerun: yes;"> </span>penerapan di bidang bisnis dan keuangan <span style="mso-spacerun: yes;"> </span>yang cakupannya lebih sempit (mikro) dibandingkan
matematika ekonomi.</li>
</ul>
purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-81373009654528598542012-12-08T04:21:00.002-08:002012-12-08T04:29:16.942-08:00Membuat Model Matematika dari Masalah yang Berkaitan dengan Sistem Persamaan Linear Dua Variabel<div class="separator" style="clear: both; text-align: center;">
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<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: -14.2pt;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%;">A.
Membuat Model Matematika dari Masalah yang Berkaitan dengan Sistem Persamaan
Linear Dua Variabel</span></b></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; mso-list: l2 level1 lfo1; text-align: justify; text-indent: -.25in;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%;">Membuat model matematika dari masalah
sehari-hari yang berkaitan dengan SPLDV</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Dalam kehidupan sehari-hari diperoleh suatu
pernyataan yang mengandung sistem persamaan linear dua variable cara yang harus
dilaksanakan kita harus merubah dahulu pernyataan-pernyataan dalam soal ke
bentuk suatu system persamaan-persamaan linear.pernyataan-pernyataan harus kita
analisa secara hati-hati dan bentuk suatu kalimat matematika atau model
matematika ke dalam bentuk suatu sistem persamaan-persamaan baru yang kita cari
himpunan penyelesaianya untuk sistem persamaan tersebut dari penafsiran soal
aslinya.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Langkah-langkah
membuat sistem persamaan linear dari model matematika dari masalah sehari-hari:</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l4 level1 lfo2; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Identifikasi
masalah.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l4 level1 lfo2; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Menggunakan
huruf untuk mengganti harga barang,banyak benda,atau yang lain.</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l4 level1 lfo2; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Menuliskan
persamaan</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Contoh
:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ani
membeli 3kg beras dan 2kg<span style="mso-spacerun: yes;"> </span>jagung Rp
27.500,00.Rani membeli 2kg beras dan 3kg jagung pada toko yang sama dengan
harga Rp 29.000,00.Tunjukan persamaan<span style="mso-spacerun: yes;">
</span>dengan mengganti variable harga pada beras dan jagung ?</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">jawab:</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Identifikasi
masalah</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">3 kg beras dan 2
kg<span style="mso-spacerun: yes;"> </span>jagung<span style="mso-spacerun: yes;"> </span>jumlah harga Rp 27.500,00</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2 kg beras dan 3
kg<span style="mso-spacerun: yes;"> </span>jagung<span style="mso-spacerun: yes;"> </span>jumlah harga Rp 29.000,00</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Mengganti
huruf</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Misal:</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Harga beras<span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;"> </span>x</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Harga jagung =<span style="mso-spacerun: yes;"> </span>y</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Sistem
persamaan yang diperoleh</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">3x + 2y = Rp 27.500,00</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2x + 3y = Rp 29.000,00</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: -21.3pt;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%;">B.
Menyelesaikan Model Matematika dari Masalah yang Berkaitan dengan Sistem
Persamaan Linear Dua Variabel dan Penafsirannya.</span></b></div>
<div class="MsoListParagraph" style="line-height: 150%; mso-list: l2 level1 lfo1; text-align: justify; text-indent: -.25in;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%;">Menyelesaikan masalah yang berkaitan
dengan sistem persamaan linear dua variabel.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 49.65pt; text-align: justify; text-indent: 22.35pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Diatas telah diajarkan cara membuat
sistem persamaan-persamaan dari pernyataan sehari-hari untuk mencari himpunan
penyelesaian model matematika dalam bentuk persamaan-persamaan hasil analisa
soal dapat diselesaikan dengan metode yang telah diajarkan.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 49.65pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Langkah-langkah
menentukan himpunan penyelesaian persamaan-persamaan dari model matematika
masalah sehari-hari :</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 49.65pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 85.65pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Identifikasi
masalah.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 85.65pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Menggunakan
huruf untuk mengganti harga barang,banyak benda,atau yang lain</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 85.65pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Menuliskan
persamaan</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 85.65pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">4)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Memecahkan
dengan mencari nilai-nilai dari huruf tersebut</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 85.65pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">5)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Memeriksa
kebenaran dari hasil perhitungan</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Contoh:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Selisih
dua bilangan adalah 20 dan dua kali bilangan pertama ditambah tiga kali
bilangan kedua adalah 100.tentukan nilai kedua bilangan itu!</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jawab:</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l0 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Identifikasi
masalah</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Selisih dua bilangan
adalah 20</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Dua kali bilangan
pertama ditambah di tambah tiga kali bilangan kedua adalah 100.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l0 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Menggunakan
huruf</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Misal:<span style="mso-spacerun: yes;"> </span>bilangan I<span style="mso-spacerun: yes;">
</span>=<span style="mso-spacerun: yes;"> </span>a</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>bilangan II<span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;"> </span>b</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l0 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Menuliskan
persamaan</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">A
– b<span style="mso-spacerun: yes;"> </span>= 20</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2a+3b
= 100</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l0 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">4)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Memecahkan
persamaan</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">a<span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;"> </span>20+b</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2(20+b)+3b = 100</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">40+2b+3b<span style="mso-spacerun: yes;"> </span>= 100</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">5b<span style="mso-spacerun: yes;"> </span>= 60</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-spacerun: yes;"> </span>b<span style="mso-spacerun: yes;"> </span>=
12</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">a = 20 + 12</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.5in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">a = 32</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Himpunan
penyelesaian<span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;"> </span>{(32,12)}</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; mso-list: l0 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">5)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Memeriksa
kebenaran dari hasil perhitungan</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">a<span style="mso-spacerun: yes;"> </span>-<span style="mso-spacerun: yes;">
</span>b<span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;"> </span>20</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">32<span style="mso-spacerun: yes;"> </span>- 12 = 20</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-spacerun: yes;"> </span>20=20 (benar)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2a + 3b = 100</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2.(32)+ 3.(12) = 100</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>64 +36=100</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>100 = 100 (benar)</span></div>
purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-6999415860195613682012-12-07T20:26:00.000-08:002012-12-07T20:26:05.135-08:00LINGKARAN<!--[if gte mso 9]><xml>
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1. DEFINISI LINGKARAN</div>
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Menurut Drs. Sukino definisi mengenai lingkaran, lingkaran
adalah lengkung tertutup yang semua titik-titik pada lengkungan itu berjarak sama
terhadap suatu titik tertentu dalam lengkungan itu. </div>
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UnhideWhenUsed="false" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
</w:LatentStyles>
</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Table Normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-qformat:yes;
mso-style-parent:"";
mso-padding-alt:0in 5.4pt 0in 5.4pt;
mso-para-margin-top:0in;
mso-para-margin-right:0in;
mso-para-margin-bottom:10.0pt;
mso-para-margin-left:0in;
line-height:115%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;}
</style>
<![endif]-->Sedangkan definisi lain dari lingkaran, lingkaran adalah
kumpulan titik - titik yang berjarak sama terhadap titik tertentu. Lihat gambar
berikut. </div>
<div class="MsoNormal">
<img alt="" src="data:image/png;base64,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" /> </div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>EN-US</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
</w:Compatibility>
<w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
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2. UNSUR-UNSUR DARI LINGKARAN</div>
<ul>
<li> Pusat lingkaran</li>
<li>jari-jari ( r )</li>
<li>diameter ( d )</li>
<li>busur</li>
<li>talibusur</li>
<li>juring</li>
<li>tembereng</li>
<li>apotema </li>
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<span style="font-size: 12.0pt; line-height: 115%;">π adalah
sebuah konstanta dalam matematika yang merupakan perbandingan keliling
lingkaran dengan diameternya. Huruf π adalah aksara Yunani yang dibaca pi dan “
pi ” juga bisa dipakai dalam penulisan.</span></div>
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<span style="font-size: 12.0pt; line-height: 115%;">Nilai π yang
lazim digunakan adalah 3,14 atau 22/7. </span></div>
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<span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">Contoh</span><span style="font-size: 12.0pt; line-height: 115%;"> jika kita </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">ukur</span><span lang="IN" style="font-size: 12.0pt; line-height: 115%;"> </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">keliling</span><span style="font-size: 12.0pt; line-height: 115%;"> dan </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;"><span style="mso-spacerun: yes;"> </span>diameter</span><span lang="IN" style="font-size: 12.0pt; line-height: 115%;"> </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">gelas
kopi/kaleng dgn mengunakan </span><span style="font-size: 12.0pt; line-height: 115%;">benang / </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">meteran kain </span><span style="font-size: 12.0pt; line-height: 115%;">maka akan diperoleh</span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;"> keliling dibagi diameter</span><span style="font-size: 12.0pt; line-height: 115%;"> akan </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">=</span><span lang="IN" style="font-size: 12.0pt; line-height: 115%;"> </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">22/7</span><span style="font-size: 12.0pt; line-height: 115%;"> atau 3,14. Jadi </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">kesimpulan</span><span style="font-size: 12.0pt; line-height: 115%;">nya </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">sekecil atau</span><span lang="IN" style="font-size: 12.0pt; line-height: 115%;"> </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">sebesar apapun
keliling lingkaran jika dibagi diameter </span><span style="font-size: 12.0pt; line-height: 115%;">akan </span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">sama dgn 22/7 atau 3</span><span style="font-size: 12.0pt; line-height: 115%;">,</span><span lang="IN" style="font-size: 12.0pt; line-height: 115%; mso-ansi-language: IN;">14 atau 3,14285714</span><span style="font-size: 12.0pt; line-height: 115%;">.</span></div>
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<![endif]--> purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-80570059688081591042012-12-07T18:48:00.000-08:002012-12-07T18:48:20.046-08:00DESKRIPSI MATEMATIKA<!--[if gte mso 9]><xml>
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<span style="font-size: 9.0pt;">Sumardyono (2004:28) secara umum definisi
matematika dapat dideskripsikan sebagai berikut, di antaranya:</span><br />
<span style="font-size: 9.0pt;">a)
Matematika sebagai struktur yang terorganisir.</span><br />
<span style="font-size: 9.0pt;">Agak berbeda dengan ilmu pengetahuan yang
lain, matematika merupakan suatu bangunan struktur yang terorganisir. Sebagai
sebuah struktur, ia terdiri atas beberapa komponen, yang meliputi aksioma/postulat,
pengertian pangkal/primitif, dan dalil/teorema (termasuk di dalamnya lemma
(teorema pengantar/kecil) dan corolly/sifat).</span><br />
<span style="font-size: 9.0pt;">b)
Matematika sebagai alat (tool).</span><br />
<span style="font-size: 9.0pt;">Matematika juga sering dipandang sebagai alat
dalam mencari solusi berbagai masalah dalam kehidupan sehari-hari.</span><br />
<span style="font-size: 9.0pt;">c)
Matematika sebagai pola pikir deduktif.</span><br />
<span style="font-size: 9.0pt;">Matematika merupakan pengetahuan yang memiliki
pola pikir deduktif, artinya suatu teori atau pernyataan dalam matematika dapat
diterima kebenarannya apabila telah dibuktikan secara deduktif (umum).</span><br />
<span style="font-size: 9.0pt;">d)
Matematika sebagai cara bernalar (the way of thinking).</span><br />
<span style="font-size: 9.0pt;">Matematika dapat pula dipandang sebagai cara
bernalar, paling tidak karena beberapa hal, seperti matematika matematika
memuat cara pembuktian yang sahih (valid), rumus-rumus atau aturan yang umum,
atau sifat penalaran matematika yang sistematis.</span><br />
<span style="font-size: 9.0pt;">e)
Matematika sebagai bahasa artifisial.</span><br />
<span style="font-size: 9.0pt;">Simbol merupakan ciri yang paling menonjol
dalam matematika. Bahasa matematika adalah bahasa simbol yang bersifat
artifisial, yang baru memiliki arti bila dikenakan pada suatu konteks.</span><br />
<span style="font-size: 9.0pt;">f)
Matematika sebagai seni yang kreatif.</span><br />
<span style="font-size: 9.0pt;">Penalaran yang logis dan efisien serta
perbendaharaan ide-ide dan pola-pola yang kreatif dan menakjubkan, maka
matematika sering pula disebut sebagai seni, khususnya merupakan seni berpikir
yang kreatif.</span><br />
<span style="font-size: 9.0pt;">Dari definisi – definisi diatas, bahwa
pengertian tentang matematika itu dengan menggabungkan pengertia dari
definisi-definisi tersebut. Semua definisi dapat diterima, karena memamng
matematika dapat ditinjau dari segala sudut, dan matematika itu bias memasuki
seluruh segi kehidupan manusia, dari yang paling sederhana sampai kepada yang
paling kompleks.</span><br />
<strong><span style="font-size: 9.0pt;">I. Matematika Sebagai Ilmu Deduktif</span></strong><span style="font-size: 9.0pt;"></span><br />
<span style="font-size: 9.0pt;">Matematika dikenal sebagai ilmu deduktif. Ini
berarti proses pengerjaan matematika harus bersifat deduktif, matematika tidak
menerima generalisasi berdasarkan pengamatan (induktif), tetapi harus
berdasarkan pembuktian deduktif, untuk membantu pemikiran pada tahap-tahap
permulaan seringkali kita memerlukan bantuan contoh-contoh khusus atau
ilustrasi geometris.</span><br />
<strong><span style="font-size: 9.0pt;">II. Matematika Sebagai Ilmu
Terstruktur</span></strong><span style="font-size: 9.0pt;"></span><br />
<span style="font-size: 9.0pt;">Matematika mempelajari tentang pola
keteraturan, tentang struktur yang terorganisasikan. Dimulai dari unsure-unsur
yang tidak terdefinisikan (undefined terms, basic terms, primitive terms)
kemudian pada unsure yang didefinisikan ke aksioma/postulat dan akhirnya pada
teorama (Ruseffendi, 1980:50). Konsep-konsep matematika tersusun secara
hierarkis, terstruktur, logis dan sistematis mulai dari konsep yang paling
sederhana sampai konsep yang paling kompleks.</span><br />
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<strong><span style="font-size: 9.0pt;">III. Matematika sebagai Ratu dan
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purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-34911166832799661112012-12-04T18:13:00.000-08:002012-12-04T18:13:46.760-08:00Angka-Angka Ajaib<!--[if gte mso 9]><xml>
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<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">fakta unik tentang matematika,bisa
dibilang juga ajaib.....</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRsJ7eS_GxCBLH0_q4n33rT6sws21aKukkS9IV1sxk5HHaodizw8-sxS8vrDJhE7rWrscXC-XRIctmzcaa1Wqin2pjzM3jcR2sEJg4QG6nWAeh7QWsUseaXfCIV32Vm-Pg6464TrVNmHg/s1600/belajar+matematika.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="151" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRsJ7eS_GxCBLH0_q4n33rT6sws21aKukkS9IV1sxk5HHaodizw8-sxS8vrDJhE7rWrscXC-XRIctmzcaa1Wqin2pjzM3jcR2sEJg4QG6nWAeh7QWsUseaXfCIV32Vm-Pg6464TrVNmHg/s200/belajar+matematika.jpg" width="200" /></a></div>
<br />
<span style="font-family: "Agency FB","sans-serif";"> </span><br />
<br />
<span style="font-family: "Agency FB","sans-serif";">FAKTA 1 :</span></div>
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<span style="font-family: "Agency FB","sans-serif";">1 x 8 + 1 = 9</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">12 x 8 + 2 = 98</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">123 x 8 + 3 = 987</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">1234 x 8 + 4 = 9876</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">12345 x 8 + 5 = 987 65</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">123456 x 8 + 6 = 987654</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">1234567 x 8 + 7 = 9876543</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">12345678 x 8 + 8 = 98765432</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">123456789 x 8 + 9 = 987654321</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">FAKTA 2 :</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">1 x 9 + 2 = 11</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">12 x 9 + 3 = 111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">123 x 9 + 4 = 1111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">1234 x 9 + 5 = 11111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">12345 x 9 + 6 = 111111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">123456 x 9 + 7 = 1111111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">1234567 x 9 + 8 = 11111111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">12345678 x 9 + 9 = 111111111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">123456789 x 9 +10= 1111111111</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">FAKTA 3 :</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">9 x 9 + 7 = 88</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">98 x 9 + 6 = 888</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">987 x 9 + 5 = 8888</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">9876 x 9 + 4 = 88888</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">98765 x 9 + 3 = 888888</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">987654 x 9 + 2 = 8888888</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">9876543 x 9 + 1 = 88888888</span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Agency FB","sans-serif";">98765432 x 9 + 0 = 888888888</span><br />
<br />
<span style="font-family: "Agency FB","sans-serif";">murid les saya paling senang dengan angka-angka cantik,mereka menyebutnya angka ajaib bu guru,,,,,,, </span></div>
purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-33663706895164917862012-11-29T03:36:00.003-08:002012-11-29T03:36:34.808-08:00Bentuk Akar dan Pangkat Pecahan<!--[if !mso]>
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<div class="MsoSubtitle" style="line-height: 150%; margin-bottom: 1.0pt; margin-left: .25in; margin-right: 0in; margin-top: 1.0pt;">
<span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;">Bentuk Akar dan Pangkat
Pecahan</span></div>
<div class="MsoSubtitle" style="line-height: 150%; margin: 1pt 0in 1pt 0.25in;">
<br /></div>
<div class="MsoSubtitle" style="line-height: 150%; margin-bottom: 1.0pt; margin-left: .5in; margin-right: 0in; margin-top: 1.0pt; mso-list: l0 level1 lfo1; text-indent: -.25in;">
<span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="SV" style="font-weight: normal; mso-ansi-language: SV; mso-bidi-font-weight: bold;">Mengidentifikasi apakah suatu
bilangan termasuk bilangan rasional atau bilangan irrasional (bilangan bentuk
akar).</span><span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;"></span></div>
<div class="MsoSubtitle" style="line-height: 150%; margin-bottom: 1.0pt; margin-left: .5in; margin-right: 0in; margin-top: 1.0pt; text-indent: .5in;">
<span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;">Himpunan
bilangan rasional terdiri dari himpunan bilangan asli, cacah, bulat, dan
himpunan rasional pecahan.</span></div>
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<span lang="FI" style="font-weight: normal;"> <span style="color: red;">Bilangan rasional </span>adalah bilangan yang dapat
dinyatakan dalam bentuk </span><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"></span><span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;"><span style="mso-spacerun: yes;"> a/b </span>dimana a,b anggota bilangan bulat. Contoh : 3;
4; -3,14; 0,5; </span><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"></span><span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;"><span style="mso-spacerun: yes;"> </span>dll. Bila dinyatakan dalam bentuk desimal,
bilangan rasional merupakan bilangan berulang atau terbatas. Contoh: 0,275;
-2,5; 1,3333...; -3,571571571...</span></div>
<div class="MsoSubtitle" style="line-height: 150%; margin-bottom: 1.0pt; margin-left: .5in; margin-right: 0in; margin-top: 1.0pt; text-indent: .5in;">
<span style="clear: right; float: right; font-family: "Calibri","sans-serif"; font-size: 11pt; line-height: 115%; margin-bottom: 1em; margin-left: 1em; position: relative; top: 7pt;"><span id="goog_332356766"></span><span id="goog_332356767"></span></span><span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;"><span style="color: red;">Bilangan
irrasional</span> adalah bukan bilangan rasional yaitu bilangan yang tidak dapat
dinyatakan dalam bentuk </span><span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;">a/b.
Contoh : </span></div>
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<tr><td style="text-align: center;"><img alt="√2=1,414213562…" height="45" src="file:///C:/Users/%27%27%27PER%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" style="margin-left: auto; margin-right: auto;" title="√2=1,414213562…" width="320" /></td></tr>
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<div class="MsoSubtitle" style="line-height: 150%; margin-bottom: 1.0pt; margin-left: .5in; margin-right: 0in; margin-top: 1.0pt;">
<span lang="FI" style="font-weight: normal; mso-ansi-language: FI; mso-bidi-font-weight: bold;">Jika dinyatakan dalam bentuk
desimal, maka bilangan rasional merupakan bilangan tak berulang dan tak
terbatas.</span></div>
purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-12863048953574295872012-11-23T17:48:00.000-08:002012-11-23T17:59:11.049-08:00Integral dalam ruang <!--[if gte mso 9]><xml>
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purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0tag:blogger.com,1999:blog-3040514312572038846.post-40225401911440195122012-11-23T08:20:00.003-08:002012-11-23T08:22:05.721-08:00Bentuk umum Persamaan Kuadrat<!--[if !mso]>
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<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Table Normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
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mso-bidi-theme-font:minor-bidi;
mso-ansi-language:IN;}
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<![endif]-->
<br />
<div class="MsoListParagraph" style="line-height: 150%; margin-left: .75in; mso-add-space: auto; mso-list: l5 level1 lfo1; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%;">Bentuk
Umum Persamaan Kuadrat </span></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Bentuk
umum persamaan kuadrat adalah <i style="mso-bidi-font-style: normal;">ax<sup>2</sup>+bx+c=0</i>
dengan a, b, dan c bilangan nyata (real) dan a≠o.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">x</span></i><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">
disebut peubah atau variabel</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">a</span></i><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">
disebut koefisien x<sup>2</sup></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">b</span></i><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">
disebut koefisien x</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">c</span></i><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">
disebut konstanta (suku tetap)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">contoh
:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">3x<sup>2</sup>-x+10 =
0, dengan a = 3, b = -1, dan c = 10</span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">2y-5y<sup>2</sup> = 0,
dengan a = -5, b = 2, dan c = 0</span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in;">
<br /></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-left: .75in; mso-add-space: auto; mso-list: l5 level1 lfo1; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">B.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 14.0pt; line-height: 150%;">Penyelesaian
Persamaan Kuadrat</span></b></div>
<div class="MsoNormal" style="line-height: 150%;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Penyelesaian
suatu persamaan kuadrat dapat ditentukan dengan beberapa cara, diantaranya yaitu
:</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 37.5pt; mso-add-space: auto; mso-list: l7 level1 lfo2; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">v<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Pemfaktoran</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 37.5pt; mso-add-space: auto; mso-list: l7 level1 lfo2; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">v<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Melengkapkan
kuadrat sempurna</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 37.5pt; mso-add-space: auto; mso-list: l7 level1 lfo2; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">v<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Rumus</span></div>
<div class="MsoNormal" style="line-height: 150%;">
<br /></div>
<div class="MsoListParagraph" style="line-height: 150%; mso-list: l3 level1 lfo3; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></div>
purify is puryhttp://www.blogger.com/profile/16424388059689373903noreply@blogger.com0