tag:blogger.com,1999:blog-6327430630258820382024-02-19T02:32:15.679-08:00Foursma Mathematics ClubFoursma Mathematics Clubhttp://www.blogger.com/profile/13861420976857355293noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-632743063025882038.post-15432390991521977802013-01-20T06:06:00.000-08:002013-01-20T06:06:07.386-08:00Quiz's of The DaySiap untuk tantangan kuis logika? Let's try!<br />
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<li>Sebuah keluarga besar terdiri dari tujuh anak laki-laki dan masing-masing mempunyai satu saudara perempuan. Berapa orang yang ada pada keluarga tersebut?</li>
<li>Pada waktu mencari air, seekor katak terjatuh ke dalam dasar sumur dengan kedalaman 30 meter. Pada waktu siang, katak tersebut berhasil memanjat naik 5 meter, namun pada malam hari katak tersebut merosot turun 4 meter. Begitu terus setiap harinya. Pada hari ke berapa katak tersebut dapat keluar dari dalam sumur tersebut?</li>
<li>Kamu memasukkan koin ke dalam botol, lalu kamu menutup botol dengan gabus.Bagaimana caranya supaya koin keluar tanpa menarik gabus tersebut atau memecahkan botol tersebut?</li>
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Foursma Mathematics Clubhttp://www.blogger.com/profile/13861420976857355293noreply@blogger.com0tag:blogger.com,1999:blog-632743063025882038.post-87188592927130198032013-01-20T06:04:00.002-08:002013-01-20T06:04:26.935-08:00Sekedar Info<span style="font-family: inherit;">Hallo!!!!!</span><br />
<span style="font-family: inherit;">Sekarang kita akan meneiti manakah yang lebih besar antara :</span><br />
<span style="font-family: inherit;">1 atau 0,99999....</span><br />
<span style="font-family: inherit;">Mungkin orang yang melihat tanpa menelitinya dengan mudah menyebut bahwa 1 lebih besar dari 0,99999....</span><br />
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<span style="font-family: inherit;">Mari kita buktikan apakah benar?</span><br />
<span style="font-family: inherit;">Bentuk pecahan dari 0,99999....</span><br />
<span style="font-family: inherit;">Misal x = 0,99999....</span><br />
<span style="font-family: inherit;">Maka 10x = 9,99999....</span><br />
<span style="font-family: inherit;"> x = 0,99999....</span><br />
<span style="font-family: inherit;">----------------------------------------------- -</span><br />
<span style="font-family: inherit;"> 9x = 9</span><br />
<span style="font-family: inherit;"> x = 1</span><br />
<span style="font-family: inherit;">Jadi, bagaimana menurut kalian? Give your comments :)</span><br />
<br />Foursma Mathematics Clubhttp://www.blogger.com/profile/13861420976857355293noreply@blogger.com0tag:blogger.com,1999:blog-632743063025882038.post-71109093273302020252013-01-20T06:04:00.001-08:002013-01-20T06:10:16.447-08:00Style Matematika Suku MayaKalo bicara matematika, pasti penemu pertamanya orang suku maya kan, karena dia yang paling pertama ada. Nah, kalian tentu penasaran dengan bagaimana sih style suku Maya dalam matematikanya? ini dia....<br />
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<b>Sistem bilangan Maya</b><br />
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Penggunaan terkuno matematika adalah di dalam perdagangan, pengukuran
tanah, pelukisan, dan pola-pola penenunan dan pencatatan waktu dan tidak
pernah berkembang luas hingga tahun 3000 SM ke muka ketika orang
Babilonia dan Mesir Kuno mulai menggunakan aritmetika, aljabar, dan
geometri untuk penghitungan pajak dan urusan keuangan lainnya, bangunan
dan konstruksi, dan astronomi.Pengkajian matematika yang sistematis di
dalam kebenarannya sendiri dimulai pada zaman Yunani Kuno antara tahun
600 dan 300 SM.<br />
Matematika sejak saat itu segera berkembang luas, dan terdapat interaksi
bermanfaat antara matematika dan sains, menguntungkan kedua belah
pihak. Penemuan-penemuan matematika dibuat sepanjang sejarah dan
berlanjut hingga kini. Menurut Mikhail B. Sevryuk, pada Januari 2006
terbitan Bulletin of the American Mathematical Society, "Banyaknya
makalah dan buku yang dilibatkan di dalam basis data Mathematical
Reviews sejak 1940 (tahun pertama beroperasinya MR) kini melebihi 1,9
juta, dan melebihi 75 ribu artikel ditambahkan ke dalam basis data itu
tiap tahun. Sebagian besar karya di samudera ini berisi teorema
matematika baru beserta bukti-buktinya.<br />
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Dan ini dia angka khas mereka.<br />
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" />dst..
Foursma Mathematics Clubhttp://www.blogger.com/profile/13861420976857355293noreply@blogger.com0tag:blogger.com,1999:blog-632743063025882038.post-18470351757337129702013-01-20T05:30:00.002-08:002013-01-20T05:52:39.830-08:00history of mathKalo kita pengen pinter matematika, maka kita harus mengenal matematika.. dan berikut merupakan sejarahnya:<br />Evolusi matematika dapat dipandang sebagai sederetan abstraksi yang selalu bertambah banyak, atau perkataan lainnya perluasan pokok masalah. Abstraksi mula-mula, yang juga berlaku pada banyak binatang, adalah tentang bilangan: pernyataan bahwa dua batu dan dua pohon (contoh) memiliki jumlah yang sama.<br />Selain mengetahui cara mencacah objek-objek fisika, manusia prasejarah (Jadoelman) juga mengenali cara mencacah besaran abstrak, seperti waktu, hari, musim, tahun (bisa dibayangkan kan pinternya orang jaman dulu). Aritmetika dasar (penjumlahan, pengurangan, perkalian, dan pembagian) mengikuti secara alami.<br />Langkah selanjutnya memerlukan penulisan atau sistem lain untuk mencatatkan bilangan, semisal tali atau dawai bersimpul yang disebut quipu dipakai oleh bangsa Inca untuk menyimpan data numerik. Sistem bilangan ada banyak dan bermacam-macam, bilangan tertulis yang pertama diketahui ada di dalam naskah warisan Mesir Kuno di Kerajaan Tengah Mesir, Lembaran Matematika Rhind.<br />
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Nah, gimana sejarah matematikanya? semoga bermanfaat ya..<br /><br />Foursma Mathematics Clubhttp://www.blogger.com/profile/13861420976857355293noreply@blogger.com0tag:blogger.com,1999:blog-632743063025882038.post-63312062150415037272013-01-20T03:47:00.002-08:002013-01-20T03:47:40.845-08:00Sejarah AngkaAngka. Angka merupakan suatu hal yang sangat sering kita temui dalam kehidupan sehari-hari. Baik dalam berbelanja, mengukur benda, dan tentunya dalam matematika. Dalam artikel ini, kita akan membahas tentang sejarah angka. Bagaimana angka 1, 2, 3, 4, dst ditemukan?<br />
Tahukah anda angka yang kita sering gunakan saat ini merupakan angka arab? Angka-angka ini disebut dengan angka sudut ( الأرقام الزاوية). Yang maksudnya, jumlah angka-angka tersebut memiliki nilai yang sama dengan jumlah sudutnya. Misalnya, satu memiliki sudut satu, dua memiliki sudut dua, dan begitupula yang lainnya.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimJYrgZ8-LfzhUxxwyO3PbkCO-j-8T-dFEFEe7T81xXAn1vZSVroYBYOc_q5yFImaFzhBu2U6UTdCrnoy_7PjLpeW18JHobLQNbSX2P5Jsly-6Zz3wlxJ-4IBzK3qeEZao2Rt6IwhgVM0/s1600/angkazawiyah+(1).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimJYrgZ8-LfzhUxxwyO3PbkCO-j-8T-dFEFEe7T81xXAn1vZSVroYBYOc_q5yFImaFzhBu2U6UTdCrnoy_7PjLpeW18JHobLQNbSX2P5Jsly-6Zz3wlxJ-4IBzK3qeEZao2Rt6IwhgVM0/s320/angkazawiyah+(1).jpg" width="320" /></a></div>
Nah, bagaimana dengan angka 0? Tentu angka nol dibuat berbentuk bulat dengan tidak ada sudut :) Dan sekarang, karena tujuan estetika, bentuk-bentuk angka ini diperhalus sehingga menjadi seperti angka-angka yang kini sering kita gunakan sehari-hari. Sekian, semoga bermanfaat!Foursma Mathematics Clubhttp://www.blogger.com/profile/13861420976857355293noreply@blogger.com0