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Sunday, 10 May 2020

Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia

Sejarah matematika bangsa Babilonia (Babylonia) dalam buku Victor J. Katz yang berjudul "A history of mathematics 3rd ed" 
" A large number of these tablets are mathematical in nature, containing mathematical problems and solutions or mathematical tables. Several hundreds of these have been copied, translated, and explained. These tablets, generally rectangular but occasionally round, usually fit comfortably into one’s hand and are an inch or so in thickness. Some, however, are as small as a postage stamp while others are as large as an encyclopedia volume. We are fortunate that these tablets are virtually indestructible, because they are our only source for Mesopotamian  mathematics. The written tradition that they represent died out under Greek domination in the last centuries bce and was totally lost until the nineteenth century. The great majority of the excavated tablets date from the time of Hammurapi, while small collections date from the earliest beginnings of Mesopotamian civilization, from the centuries surrounding 1000 bce, and from the Seleucid period around 300 bce. Our discussion in this section, however, will generally deal with the mathematics of the “Old Babylonian” period (the time of Hammurapi), but, as is standard in the history of mathematics, we shall use the adjective “Babylonian” to refer to the civilization and culture of Mesopotamia, even though Babylon itself was the major city of the area for only a limited time."
1.2.1 Methods of Computation
1.2.2 Geometry
1.2.3 Square Roots and the Pythagorean Theorem
1.2.4 Solving Equations

Bilangan Babilonia Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia
Bilangan Babilonia (berprosesku)


  1. Lengkapilah tabel di bawah ini! Cuneiform, Transliteration, Decimal Value
  2. Ubahlah bentuk berikut ini menjadi bentuk desimal. (2, 46 ; 12, 30)
  3. Ubah bentuk berikut ini menjadi bentuk heksadesimal.
  4. Tentukan hasil dari operasi berikut ini. (2,46,4) + (21,23,59); (31,45,6) - (49,10)
  5. Jelaskan pembuktian a^2-b^2=(a+b)(a-b) dengan menggunakan pendekatan geometri!
Pembahasan:
1. Lengkapilah tabel di bawah ini!
Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia

 2. Ubahlah bentuk berikut ini menjadi bentuk desimal.

Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia

3. Ubah bentuk berikut ini menjadi bentuk heksadesimal.
Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia
4. Tentukan hasil dari operasi berikut ini. 
Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia

5. Jelaskan pembuktian a^2-b^2=(a+b)(a-b) dengan menggunakan pendekatan geometri!
Contoh Soal dan Jawaban Metode Matematika Bangsa Babilonia
Sehingga luas persegi panjangnya adalah (a-b)(a+b)

Buku Referensi:
Katz, Victor J. 2009. A history of mathematics 3rd ed.  Pearson Education, Inc: Boston.

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