Complex Number System Arithmetic A complex number is an expression in the form: a + bi where a and b are real numbers. The symbol i is defined as √ 1. a is the real part of the complex number‚ and b is the complex part of the complex number. If a complex number has real part as a = 0‚ then it is called a pure imaginary number. All real numbers can be expressed as complex numbers with complex part b = 0. -5 + 2i 3i 10 real part –5; imaginary part 2 real part 0; imaginary part 3 real part 10; imaginary
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Mathematical Puzzles These puzzles (most of them old classics) from various sources can be used with pupils who finish classwork early. Most of the questions were chosen with enthusiastic‚ bright early teenagers in mind. Some of the puzzles are also appropriate for class work - an initial worked example on the board will help a lot. There are a few trick questions. Some questions can be quickly answered if you chance upon the right approach‚ but the ’long’ solution isn’t too arduous. Several of the
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MARKETING BY THE Numbers One external factor that manufacturers must consider when setting prices is reseller margins. Manufacturers do not have the final say concerning the price to consumers; retailers do. So manufacturers must start with their suggested retail prices and work back‚ subtracting out the markups required by resellers that sell the product to consumers. Once that is considered‚ manufacturers know at what price to sell their products to resellers‚ and they can determine what
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MATH 4 A. DIVISION of WHOLE NUMBERS B. DECIMALS a. PLACE VALUE of DECIMALS PLACE VALUE | Trillions | Billions | Millions | Thousands | Ones / Unit | Decimalpoint | .1 | .01 | .001 | HUNDRED | TEN | TRILLIONS | HUNDRED | TEN | BILLIONS | HUNDRED | TEN | MILLIONS | HUNDRED | TEN | THOUSANDS | HUNDREDS | TENS | ONES | | TENTHS | HUNDREDTHS | THOUSANDTHS | 5 | 8 | 9‚ | 6 | 1 | 2‚ | 7 | 4 | 5‚ | 6 | 1 | 8‚ | 3 | 2 | 5 | . | 1 | 6 | 2 | b. READING and WRITING DECIMALS
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REPRESENT DECIMAL NUMBERS • USEFUL BECAUSE MANY DIGITAL DEVICES PROCESS + DISPLAY NUMBERS IN TENS IN BCD EACH NUMBER IS DEFINED BY A BINARY CODE OF 4 BITS. *** 8 – 4 – 2 – 1 MOST COMMON CODE 8 – 4 – 2 – 1 CODE INDICATES THE WEIGHT OF EACH BIT 23 – 22 – 21 – 20 E.G. 934 = 1001 0011 0100 9 3 4 FOR EACH DIGIT A BINARY [NORMAL] CODE IS ALLOCATED. OHER REPRESENTATION FORMS ARE 2-4-2-1 AND EXCESS-3 Ovidiu Ghita Page 77 Digital Electronics‚ 2003 BINARY 8-4-2-1 2-4-2-1 EXCESS-3 NOT USED 0000 0 0 NOT
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closed‚ concealed road to the woods instead of the open‚ view road. These are all wise decisions for a ten year old. Annemarie is very loving and compassionate toward others. She cares for her best friend Ellen. She risks her life for her. Annemarie also would do anything for her family‚ especially Kristi. She is a good person. All in all‚ Annemarie couldn’t be better! One of Annemarie’s weaknesses is that of being naïve and fearful. One example‚ Annemarie doesn’t know what’s happening
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decimal number 125 into binary. Use the division-by-two method shown in the following example. 125 /2 = 62 r=1 62 /2 = 31 r=0 31 /2 = 15 r=1 15 /2 = 7 r=1 7 /2 = 3 r=1 3 /2 = 1 r=1 1 /2 = 0 r=1 01111101 2.Convert your binary result back into decimal to prove your answer is correct. This is also shown in the following example. Weights = 128 64 32 16 8 4 2 1 Bits = 0 1 1 1 1 1 0 1 64 + 32 + 16 + 8 + 4 + 1 = 125 Task 2: Procedure 1.Convert the binary number 10101101 into decimal. Use the method
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------------------------------------------------- Prime number A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime‚ as only 1 and 5 divide it‚ whereas 6 is composite‚ since it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed
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INDEX NUMBER Introduction Sebuah index menunjukkan perubahan relatif yang terjadi pada sebuah nilai dari satu periode ke periode yang lain. Kegunaan index‚ misalnya pada Consumer Price Index‚ adalah mengukur perubahan harga pada suatu kelompok besar dari barang-barang yang dibeli konsumen. Simple Index Numbers Angka index adalah suatu angka yang menunjukkan perubahan relatif pada harga‚ jumlah‚ atau nilai dibandingkan dengan suatu base period. Jika angka index yang digunakan untuk mengukur
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he number theory or number systems happens to be the back bone for CAT preparation. Number systems not only form the basis of most calculations and other systems in mathematics‚ but also it forms a major percentage of the CAT quantitative section. The reason for that is the ability of examiner to formulate tough conceptual questions and puzzles from this section. In number systems there are hundreds of concepts and variations‚ along with various logics attached to them‚ which makes this seemingly
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