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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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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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 numbers that cannot be represented as
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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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BILLY ELLIOT The film Billy Elliot emphasizes the notion of ‘Into the world’ by describing concepts of growth‚ transition and change. Whether this change is physical‚ emotional or intellectual‚ there is a transition by the individual from one stage to another. The individuals had to face many barriers and obstacles which needed to be overcome. Billy overcame stereotypes as did other characters in the film. The themes of emotional growth and stereotypes are constantly explored in this film and
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UNIVERSAL VIRTUAL CONTENT ACADEMY (UVC) CPA PAPER 5 Index numbers By the end of topic‚ participants should be able to; 1. Appreciate the usefulness of index numbers in monitoring changes over time 1. Calculate simple indices 2. Determine simple aggregate price indices 3. Use laspeyre’s and Paashe’s price indices to determine weighted indices. What is an index number? An index number is a statistical measure designed to show/ monitor changes over a period of time in the price‚ quantity
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Is Billy The Kid a Tragic Hero? William H. Bonney (born William Henry McCarty‚ Jr.) was known for his sulky smooth character‚ his enigmatic hero/outlaw image‚ and most importantly his treacherous rumored 21 murders. Most commonly and historically known as Billy the Kid‚ Bonney was born November 1859 in New York City‚ having moved around numerous times as a young child‚ and ultimately settling down in the Old American West. Orphaned as a young boy‚ “The Kid” began hanging around the wrong crowd
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Living By Numbers-Value Creation Or Profit? Case Summary This case basically explains about MarineCorp Sdn Bhd leads by Hafiz Hashim who has position as a Chief Financial Officer (CFO) in MarineCorp. It is also a subsidiary of SURIA. MarineCorp is a maritime solution provider for its SURIA and have two subsidiaries which are Green Port Sdn Bhd and Sungai Emas Sdn Bhd. MarineCorp has their responsibility in manage and conducting both subsidiaries. The financial statements of the three companies
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Convert the 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
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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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