Strength in Numbers “Hi. I’m Jordan and I’m an addict slash abuser‚ I guess.” I watch my son shrug his shoulders and hunch over‚ clasping his hands in his lap after uttering these words. He speaks the words quietly‚ but his apathetic tone and body language read loud and clear. He doesn’t believe the words he’s saying and is merely being cooperative. After a loud and cheerful “Hello Jordan!” the group turns their attention to me. “Hi. I’m Brandee‚ and I’m Jordan’s mom.” We continue like this around the
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With the development of society and improvement of economic conditions‚ more and more families have the ability to afford cars. But what the number of cars will be in the future? Is it safe to reach the conclusion that there will be fewer cars in use than there are today in 20 years? In my opinion‚ it’s possible and the reasons are as follows. Just imagine which of the following two worlds you would prefer: Option one is that you are living in a place where the sky is grey and the river is yellow
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RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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Digital Electronics‚ 2003 BINARY CODED DECIMAL: B.C.D. • ANOTHER METHOD TO 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
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2 INTRODUCTION TO CRYPTOGRAPHY 2.1 WHAT IS CRYPTOGRAPHY? The word cryptography comes from the Greek words κρυπτο (hidden or secret) and γραφη (writing). Oddly enough‚ cryptography is the art of secret writing. More generally‚ people think of cryptography as the art of mangling information into apparent unintelligibility in a manner allowing a secret method of unmangling. The basic service provided by cryptography is the ability to send information between participants in a way that prevents
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REAL NUMBERS Q.1 Determine the prime factorization of the number 556920. (1 Mark) (Ans) 23 x 32 x 5 x 7 x 13 x 17 Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ………
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ever thought how this world of mathematics would be without irrational numbers? If the great Pythagorean hyppasus or any other mathematician would have not ever thought of such numbers? Before ‚understanding the development of irrational numbers ‚we should understand what these numbers originally are and who discovered them? In mathematics‚ an irrational number is any real number that cannot be expressed as a ratio a/b‚ where a and b are integers and b is non-zero. Irrational numbers are those real
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NUMBER SYSTEM Definition It defines how a number can be represented using distinct symbols. A number can be represented differently in different systems‚ for instance the two number systems (2A) base 16 and (52) base 8 both refer to the same quantity though the representations are different. When we type some letters or words‚ the computer translates them in numbers as computers can understand only numbers. A computer can understand positional number system where there are only a few symbols
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Real Numbers -Real Numbers are every number. -Therefore‚ any number that you can find on the number line. -Real Numbers have two categories‚ rational and irrational. Rational Numbers -Any number that can be expressed as a repeating or terminating decimal is classified as a rational number Examples of Rational Numbers 6 is a rational number because it can be expressed as 6.0 and therefore it is a terminating decimal. -7 ½ is a rational number because it can be expressed as -7.5 which is a
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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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