or graphs. Do not use staples‚ paper clips‚ highlighters‚ glue or correction fluid. Answer all the questions. Write your answers on the separate Answer Booklet/Paper provided. Give non-exact numerical answers correct to 3 significant figures‚ or 1 decimal place in the case of angles in degrees‚ unless a different level of accuracy is specified in the question. At the end of the examination‚ fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question
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a pencil for any diagrams or graphs. DO NOT WRITE IN ANY BARCODES. Answer all the questions. Unless instructed otherwise‚ give your answers exactly or correct to three significant figures as appropriate. Answers in degrees should be given to one decimal place. For π‚ use your calculator value. You must show all the relevant working to gain full marks and you will be given marks for correct methods‚ including sketches‚ even if your answer is incorrect. The number of marks is given in brackets [ ]
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HISTORY OF ALGEBRA M AT H 1 WHAT IS ALGEBRA? • Denotes various kinds of mathematical ideas and techniques • more or less directly associated with formal manipulation of abstract symbols and/or with finding the solutions of an equation. HISTORICAL OBJECTIVES 1. attempts to deal with problems devoted to finding the values of one or more unknown quantities. 2. the evolution of the notion of number 3. the gradual refinement of a symbolic language THE SEARCH OF “EQUATION” • Egyptian Mathematics
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Semester review 1 338 Semester review 1 Whole numbers Multiple-choice questions 1 Using numerals‚ thirty-five thousand‚ two hundred and six is: A 350 260 B 35 260 C 35 000 206 D 3526 E 35 206 2 The place value of 8 in 2 581 093 is: A 8 thousand B 80 thousand C 8 hundred D 8 tens E 8 ones 3 The remainder when 23 650 is divided by 4 is: A 0 B 4 C 1 D 2 E 3 4 18 - 3 × 4 + 5 simplifies to: B 135 A 65 C 11 D 1
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written in scientific notation is written in the form: a x 10b WRITING A NUMBER IN SCIENTIFIC NOTATION * Shift the decimal point so that there is one digit before the decimal point. * Multiply by a power of 10‚ equal to the number of places the decimal point has been moved. * The power of 10 is positive if the decimal point is moved to the left and negative if the decimal point is moved to the right. ENGINEERING NOTATION * Engineering notation is similar to the scientific notation
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references appear as the following: F2- Revenue‚ G2 – Expenses‚ H2 – Balance. 3 6 Create a one-variable data table for the range E2:H18 using the Number of Attendees as the column input cell. Format the results with Accounting Number Format with two decimal places. 7 7 Copy the Number of Attendees substitution values from the one-variable data table (in cells E3:E18)‚ and then paste the values starting in cell E22. 4 8 Type $50 in cell F21 and complete the series of substitution values from $50 to $100
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fractions or decimals 1‚ 2‚ 3…. Fraction Has a numerator and denominator Improper Fraction When the fraction’s numerator is greater than its denominator Mixed Numeral Contains a whole number and a fraction Parentheses ( ) ( ) Braces { } { } Significant Figures A kind of rounding‚ where we identify important numbers 2.13700000 Scientific Notation A way of writing number‚ usually for numbers that are too big or too small‚ conveniently written in decimal way. 2
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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. Use
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------------------------------------------------- Please read before you come for the next lesson Additional Notes on significant figures When we use an equipment to take measurement‚ it is important to be honest when reporting a measurement‚ so that it does not appear to be more accurate than the equipment used to make the measurement allows. To achieve this‚ we can control the number of significant figures used to report the measurement. When we look at a number‚ its first significant
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Aims of the report The aim of this report is to research into basic hardware and software principle’s used in audio and visual processing. Information about RGB colour model and how it used on computer displays will be provided‚ Nyquist theorem‚ WAV structure which includes header information‚ logic gates with information about the 7 gates which are used‚ basic circuits used audio visual systems and how binary is used for audio quality. Research and experimentation will be done into the topics to
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