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Questions and Answers
What is the base of the decimal number system?
What is the base of the decimal number system?
Which of the following is an example of a decimal fraction?
Which of the following is an example of a decimal fraction?
What operation combines two decimal numbers to produce a sum?
What operation combines two decimal numbers to produce a sum?
In the number 345, what is the positional value of the digit '4'?
In the number 345, what is the positional value of the digit '4'?
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Which of the following best describes how decimal numbers can be converted?
Which of the following best describes how decimal numbers can be converted?
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Study Notes
Sistem Bilangan Desimal
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Definisi: Sistem bilangan desimal adalah sistem bilangan yang menggunakan basis 10. Setiap digit dalam sistem ini memiliki bobot yang merupakan kelipatan dari 10.
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Digit: Terdiri dari sepuluh digit, yaitu 0, 1, 2, 3, 4, 5, 6, 7, 8, dan 9.
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Penggunaan: Merupakan sistem yang paling umum digunakan dalam kehidupan sehari-hari, termasuk dalam perhitungan, pengukuran, dan transaksi.
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Nilai Posisi:
- Setiap digit dalam bilangan desimal memiliki nilai berdasarkan posisinya dalam bilangan.
- Contoh: Dalam bilangan 345, digit 3 berada di posisi ratusan, 4 di posisi puluhan, dan 5 di posisi satuan.
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Konversi:
- Bilangan desimal dapat dikonversi ke sistem bilangan lain, seperti biner (basis 2), oktal (basis 8), dan heksadesimal (basis 16).
- Proses konversi melibatkan pembagian atau pengalian dengan basis yang sesuai.
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Operasi Dasar:
- Penjumlahan: Menggabungkan dua bilangan desimal.
- Pengurangan: Menghitung selisih antara dua bilangan.
- Perkalian: Mengalikan dua bilangan untuk mendapatkan hasil.
- Pembagian: Membagi satu bilangan dengan bilangan lainnya.
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Penerapan:
- Digunakan dalam berbagai bidang, seperti keuangan, sains, teknologi, dan pendidikan.
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Desimal Pecahan:
- Bilangan desimal juga dapat berupa pecahan, yang menunjukkan nilai kurang dari satu.
- Contoh: 0.5, 2.75, atau 3.142.
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Sistem Bilangan Campuran:
- Terkadang, bilangan desimal dapat digabungkan dengan sistem bilangan lain, seperti dalam representasi waktu (misalnya, 1.5 jam).
Decimal Number System
- Definition: The decimal number system is a base-10 system, with each digit having a weight that is a multiple of 10.
- Digits: Comprises ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
- Common Usage: It is the most widely used system in daily life, applied in calculations, measurements, and transactions.
- Place Value: Each digit's value is determined by its position within the number. For example, in the number 345, 3 represents hundreds, 4 represents tens, and 5 represents units.
- Conversion: Decimal numbers can be converted to other numerical systems such as binary (base 2), octal (base 8), and hexadecimal (base 16) through division or multiplication with the appropriate base.
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Basic Operations:
- Addition involves combining two decimal numbers.
- Subtraction determines the difference between two decimal numbers.
- Multiplication yields the product of two decimal numbers.
- Division divides one decimal number by another.
- Applications: Widely used across various fields including finance, science, technology, and education.
- Decimal Fractions: Decimal numbers can also represent fractions, indicating values less than one, such as 0.5, 2.75, or 3.142.
- Mixed Number System: Decimal numbers can be integrated with other numeral systems, as seen in time representation (e.g., 1.5 hours).
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Description
Test your knowledge of the decimal number system, which uses base 10 and is composed of the digits 0 through 9. This quiz covers definitions, digit positions, conversions to other systems, and basic operations such as addition and subtraction. Challenge yourself to understand the most commonly used numerical system in daily life.