tag:blogger.com,1999:blog-82111788561296017592024-03-05T12:48:17.112-08:00H.E.X.A. Smart Of MathematicsH.E.X.A_aquThinahttp://www.blogger.com/profile/16077117724795316916noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-8211178856129601759.post-4719492621199265052012-01-04T02:58:00.000-08:002012-01-04T02:58:56.713-08:00Pengumuman<div dir="ltr" style="text-align: left;" trbidi="on">
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<b><span style="font-family: "Courier New",Courier,monospace;">Kalian ingin cari Djajanan Tempo dulu???...<a name='more'></a></span></b></div>
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<span style="font-family: "Courier New",Courier,monospace;">Datang aja ke Pasar Pagi, yang buka setiap hari minggu dari jam 06.00-12.00 WIB, bertepatan di Jalan Semeru belakang MOG(Malang Town Square)..</span></div>
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<tr><td class="tr-caption" style="text-align: center;"><b>Stand depan Universitas Katholik atau dekat Kesekretariatan </b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Pemilik Stand, Ibu Anis Watin</b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Gathot dkk</b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Ketan</b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Tiwul</b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Gethuk</b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Gathot</b></td></tr>
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<tr><td class="tr-caption" style="text-align: center;"><b>Jagung Bledus</b></td></tr>
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<span style="font-family: "Courier New",Courier,monospace;">Pemilik Stand ini bernama Ibu Anis Watin. Beliau sudah 7 tahun berjualan di pasar pagi semeru ini. Stand ini berlatarbelakang batik sebagai hiasannya. Sehingga, pembeli disuguhkan kekhasan Indonesia. </span></div>
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<span style="font-family: "Courier New",Courier,monospace;"><b>PERHATIAN!</b> </span></div>
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<span style="font-family: "Courier New",Courier,monospace;">Stand ini menyediakan Djajanan Tempoe dulu loh kawant!!... </span></div>
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<span style="font-family: "Courier New",Courier,monospace;">Seperti: Gathot, Tiwul, Horog-horog, Gethuk, Jagung Bledus, Ketan bubuk, Sawut, Ongol-ongol, Klepon, Cenil, dan Lupis.</span></div>
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<span style="font-family: "Courier New",Courier,monospace;">Nah, kalian juga bisa menikmati segarnya Es Dawet Sagu yang disajikan dengan menggunakan gelas dari batok kelapa. </span></div>
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<a href="http://www.sweetim.com/s.asp?im=gen&lpver=3&ref=10" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;" target="_blank"><img border="0" src="http://content.sweetim.com/sim/cpie/emoticons/000203FB.gif" title="Click to get more." /></a><span style="font-family: "Courier New",Courier,monospace;">0 Y tenang saja kawant, untuk masalah harga. Harganya murah meriah koq!</span></div>
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<span style="font-family: "Courier New",Courier,monospace;">Cukup dengan mengeluarkan uang Rp. 3000,- untuk Gathot dkk dijamin kalian kenyang dech. Nah, untuk Es Dawet Sagu asli sendiri cukup Rp 2500,- aja.</span></div>
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<span style="font-family: "Courier New",Courier,monospace;">Nah, Kawant-kawant, Selamat mencoba y!!...</span></div>
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</div>H.E.X.A_aquThinahttp://www.blogger.com/profile/16077117724795316916noreply@blogger.com0tag:blogger.com,1999:blog-8211178856129601759.post-73961793905474241052011-11-28T10:11:00.000-08:002012-01-04T03:04:53.347-08:00Sifat-sifat Operasi Hitung<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-size: small;">Sifat-sifat pengerjaan hitung pada bilangan bulat yang akan dipelajari sifat komutatif, asosiatif, dan distributif. Mungkin kamu pernah menggunakan sifat-sifat tersebut, tetapi belum tahu nama sifat-sifatnya. Sebenarnya seperti apa sifat-sifat itu?</span></div>
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<span style="font-size: small;">Coba perhatikan penjelasan berikut: <b></b></span></div>
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<li><span style="font-size: small;">Sifat Komutatif (Pertukaran)</span></li>
<li><span style="font-size: small;">Sifat Asosiatif (Pengelompokan)</span></li>
<li><span style="font-size: small;">Sifat Distributif (Penyebaran) </span></li>
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<span style="font-family: "Helvetica Neue",Arial,Helvetica,sans-serif; font-size: small;"><b>1. Sifat Komutatif (Pertukaran)</b></span> </div>
<div style="font-family: "Helvetica Neue",Arial,Helvetica,sans-serif; text-align: justify;">
<span style="font-size: small;"><b>a. </b><b>Sifat komutatif pada penjumlahan </b></span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Ilyas mempunyai 5 kelereng berwarna merah dan 3 kelereng berwarna hitam. Budi mempunyai 3 kelereng berwarna merah dan 5 kelereng berwarna hitam. Samakah jumlah kelereng yang dimiliki Ilyas dan Budi?</span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Ternyata jumlah kelereng Ilyas sama dengan jumlah kelereng Budi.</span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Jadi, 5 + 3 = 3 + 5.</span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Cara penjumlahan seperti ini menggunakan <b>sifat komutatif</b>.</span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Secara umum, sifat komutatif pada penjumlahan dapat ditulis sebagai berikut<b>: a + b = b + a </b></span></div>
<div style="font-family: "Helvetica Neue",Arial,Helvetica,sans-serif; text-align: justify;">
<span style="font-size: small;">dengan a dan b sembarang bilangan bulat.</span></div>
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<span style="font-size: small;"><b>b. </b><b>Sifat komutatif pada perkalian </b></span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Jumlah kelereng Ilyas dan Budi sama, yaitu 8 butir. Kelereng Ilyas dimasukkan ke empat kantong plastik. Setiap kantong berisi 2 butir. Kelereng Budi dimasukkan ke dua kantong plastik. Setiap kantong berisi 4 butir.</span></div>
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<span style="font-size: small;">Kelereng Ilyas dan Budi dapat ditulis sebagai berikut. </span><br />
<span style="font-size: small;">Kelereng Ilyas = 2 + 2 + 2 + 2 = 4 × 2 = 8 </span><br />
<span style="font-size: small;">Kelereng Budi = 4 + 4 = 2 × 4 = 8 Jadi, 4 × 2 = 2 × 4.</span></div>
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<span style="font-size: small;">Cara perkalian seperti ini menggunakan <b>sifat komutatif pada perkalian</b>.</span></div>
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<span style="font-size: small;">Secara umum, sifat komutatif pada perkalian dapat ditulis:<b> a × b = b × a</b></span></div>
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<span style="font-size: small;">dengan a dan b sembarang bilangan bulat.</span></div>
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<b>Perhatikan Video "Komutatif Perkalian" di bawah ini!</b><br />
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<span style="font-size: small;"><b>2. Sifat Asosiatif (Pengelompokan)</b></span></div>
<div style="font-family: "Helvetica Neue",Arial,Helvetica,sans-serif; text-align: justify;">
<span style="font-size: small;"><b>a. </b><b>Sifat asosiatif pada penjumlahan </b></span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Ilyas mempunyai 2 kotak berisi kelereng. Kotak I berisi 3 kelereng merah dan 2 kelereng hitam. Kotak II berisi 4 kelereng putih. Budi juga mempunyai 2 kotak berisi kelereng. Kotak I berisi 3 kelereng merah. Kotak II berisi 2 kelereng hitam dan 4 kelereng putih. Samakah jumlah kelereng yang dimiliki Ilyas dan Budi?</span></div>
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<span style="font-size: small;"><b> </b></span></div>
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<span style="font-size: small;">Ternyata jumlah kelereng yang dimiliki Ilyas sama dengan jumlah kelereng yang dimiliki Budi.</span></div>
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<span style="font-size: small;">Jadi, (3 + 2) + 4 = 3 + (2 + 4).</span></div>
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<span style="font-size: small;">Cara penjumlahan seperti ini menggunakan <b>sifat asosiatif pada penjumlahan</b>.</span></div>
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<span style="font-size: small;">Secara umum, sifat asosiatif pada penjumlahan dapat ditulis:<b> (a + b) + c = a + (b + c)</b></span></div>
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<span style="font-size: small;">dengan a, b, dan c sembarang bilangan bulat.</span></div>
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<span style="font-size: small;"><b>b. Sifat asosiatif pada perkalian</b></span></div>
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<span style="font-size: small;">Ilyas mempunyai 2 kotak mainan. Setiap kotak diisi 3 bungkus kelereng. Setiap bungkus berisi 4 butir kelereng. Berapa jumlah kelereng Ilyas?</span></div>
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<span style="font-size: small;">Ada dua cara yang dapat digunakan untuk menghitung jumlah kelereng Ilyas.</span></div>
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<span style="font-size: small;"><b>Cara pertama</b> menghitung banyak bungkus. Kemudian, hasilnya dikalikan banyak kelereng tiap bungkus.</span></div>
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<span style="font-size: small;">Banyak bungkus × banyak kelereng tiap bungkus </span><br />
<span style="font-size: small;">= (3 bungkus + 3 bungkus) × 4 butir</span></div>
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<span style="font-size: small;">= (3 + 3) × 4</span></div>
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<span style="font-size: small;">= (2 × 3) × 4 = 24 butir</span></div>
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<span style="font-size: small;"><b>Cara kedua</b> menghitung banyak kelereng setiap kotaknya dahulu kemudian hasilnya dikalikan banyak kotak.</span></div>
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<span style="font-size: small;">Banyak kotak × banyak kelereng = 2 × (4 + 4 + 4) = 2 × (3 × 4) = 24 butir</span></div>
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<span style="font-size: small;">Perhitungan cara I: (2 × 3) × 4. </span><br />
<span style="font-size: small;">Perhitungan cara II: 2 × (3 × 4).</span></div>
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<span style="font-size: small;">Hasil perhitungan dengan kedua cara adalah sama. Jadi, (2 × 3) × 4 = 2 × (3 × 4).</span></div>
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<span style="font-size: small;">Cara perkalian seperti ini menggunakan<b> sifat asosiatif pada perkalian</b>.</span></div>
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<span style="font-size: small;">Secara umum, sifat asosiatif pada perkalian dapat ditulis:<b> (a × b) × c = a × (b × c) </b></span></div>
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<span style="font-size: small;">dengan a, b, dan c bilangan bulat.</span><br />
<b><span style="font-size: small;">Perhatikan Video "Asosiatif Perkalian" di bawah ini!</span></b><br />
<b><span style="font-size: small;"> </span></b><span style="font-size: small;"><br /></span><br />
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<span style="font-size: small;"><b>3. Sifat Distributif ( Penyebaran )</b></span></div>
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<span style="font-size: small;">a. 3 x ( 4+ 6 )</span></div>
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<span style="font-size: small;">Penghitungan dilakukan dengan cara menjumlah kedua angka yang dikalikan ( 4 + 6 ). Kemudian hasilnya dikalikan dengan angka pengali (3).</span></div>
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<b><span style="font-size: small;">3 x ( 4+ 6 ) = 3 x 10 = 30</span></b></div>
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<span style="font-size: small;">Mengapa cara ini digunakan?</span></div>
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<span style="font-size: small;">Karena menghitung 3 x ( 4 + 6 ) = 3 x 10 lebih mudah daripada Menghitung ( 3 x 4 ) + ( 3 x 6 ).</span></div>
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<span style="font-size: small;">b. 15 × (10 + 2)</span></div>
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<span style="font-size: small;">Penghitungan dilakukan dengan cara kedua angka yang dijumlahkan ( 10 dan 2 ) masing – masing dikalikan dengan angka pengali ( 15 ), kemudian hasilnya dijumlahkan</span></div>
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<b><span style="font-size: small;">15 x ( 10 + 2 ) = ( 15 x 10 ) + ( 15 x 2 ) = 150 + 30 = 180</span></b></div>
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<span style="font-size: small;">Cara ini juga untuk mempermudah penghitungan karena menghitung (15 × 10) + (15 × 2) = 150 + 30 lebih mudah daripada menghitung 15 × (10 + 2) = 15 × 12.</span></div>
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<span style="font-size: small;">Cara penghitungan seperti di atas menggunakan <b>sifat distributif pada penjumlahan dan pengurangan</b>. Secara umum, sifat distributif pada penjumlahan dan pengurangan dapat ditulis:<b> </b></span><br />
<span style="font-size: small;"><b>a × (b + c) = (a × b) + (a × c) </b></span></div>
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<span style="font-size: small;"><b>a × (b – c) = (a × b) – (a × c)</b></span></div>
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<span style="font-size: small;">dengan a, b, dan c bilangan bulat.</span><br />
<b><span style="font-size: small;">Perhatikan Video "Distribusi" di bawah ini!</span></b><br />
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<b><span style="font-size: small;"> </span><br /><span style="font-size: small;"></span></b><br />
<br />
<b>Isilah titik-titik di bawah ini dengan tepat!</b><br />
<ol start="1">
<li><b>11 + 14 = 14 + ….</b></li>
<li><b>…. X 15 = 15 x 8</b></li>
<li><b>7 + (-6) = (-6) + ….</b></li>
<li><b>10 + (11 + 12) = (… + 11) + 12</b></li>
<li><b>(-15 x 10) x 6 = -15 x ( … x …)</b></li>
<li><b>2 x (5 + 10) = (2 x …) + (2 x …)</b></li>
<li><b>(10 x 2) – (10 x 1) = …x (2 – 1)</b></li>
<li><b>18 x (10 – 1) = 18 x 9 = ….</b></li>
<li><b>50 x (30 -2) = 50 x 28 = ….</b></li>
<li><b>(18 x 10) – (18 x 1) = …. – …. = ….</b></li>
<li><b>87 x 12 = 12 x ...</b></li>
<li><b>68 + 95 + 32 = 68 + ... + 95</b></li>
<li><b>112 - (38 + 1.250) = ( ... + 38) + 1.250</b></li>
<li><b>(17 x 12) x 25 = 17 x (12 x ...)</b></li>
<li><b>(82 x 75) + (18 x 75) = (82 + ...) x 75</b></li>
<li><b>8750 + 5.500 + 1.250 = ...</b></li>
<li><b>42 x 16 x 25 = 42 x ... = ... </b></li>
<li><b>197 x 150 = (... x 150) - (3 x 150)</b></li>
<li><b>302 x 125 = (... x 125) + (... x 125)</b></li>
<li><b>9 x 8 x 25 = ...</b></li>
</ol>
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</div>H.E.X.A_aquThinahttp://www.blogger.com/profile/16077117724795316916noreply@blogger.com0Malang, Indonesia-7.981894 112.62650299999996-8.0377215 112.57637849999996 -7.9260664999999992 112.67662749999995