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Sexagesimal system

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Sexagesimal system, add, subtarct, types of angels, time, convert, sexagesimal to decimal, decimal to sexagesimal

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Sexagesimal system

  1. 1. Index Angles Time Converting to another system Adding and Subtracting Exercises Sexagesimal system Matematicas 2o E.S.O. Alberto Pardo Milanes -
  2. 2. Index Angles Time Converting to another system Adding and Subtracting Exercises 1 Angles 2 Time 3 Converting 4 Adding and Subtracting 5 Exercises Alberto Pardo Milanes Sexagesimal system
  3. 3. Index Angles Time Converting to another system Adding and Subtracting Exercises Angles Alberto Pardo Milanes Sexagesimal system
  4. 4. Index Angles Time Converting to another system Adding and Subtracting Exercises Angles What's an angle? Measure an angle Given two intersecting lines, the point of intersection is called the vertex and the amount of rotation about the vertex re- quired to bring one line into correspondence with the other is called the angle between them. There are several ways to measure the size of an angle. One way is to use units of degrees: In a complete circle there are three hundred and sixty degrees (one full rotation corresponds to 360 degrees). Alberto Pardo Milanes Sexagesimal system
  5. 5. Index Angles Time Converting to another system Adding and Subtracting Exercises Angles Some angles Half a full rotation is called a straight angle that is 180 de- grees, and a quarter of a full rotation is called a right angle (90 degrees). An angle less than 90 degrees is called an acute angle, an angle greater than 90 degrees and less than 180 degrees is called an obtuse angle, and an angle greater than 180 degrees and less than 360 degrees is called a re ex angle. Alberto Pardo Milanes Sexagesimal system
  6. 6. Index Angles Time Converting to another system Adding and Subtracting Exercises Angles Using the proctartor Acute angle Right angle Obtuse angle Straight angle Alberto Pardo Milanes Sexagesimal system
  7. 7. Index Angles Time Converting to another system Adding and Subtracting Exercises Angles Express an angle You can express angles to any precision using decimal numbers. Example: 4 degrees and a half=4.5 degrees. There is another way to state the size of an angle, and that is by subdividing a degree. The degree is divided into sixty parts called minutes. These minutes are further divided into sixty parts called seconds. In a full circle there are 360 degrees, each degree is split up into 60 parts called minutes (each part being 1=60 of a degree), each minute is split up into 60 parts called seconds (each part being 1=60 of a minute). Examples: 1 degree is 60 minutes, so ;5 degrees=;5 60 = 30 minutes, so 4.5 degrees is equal to 4 degrees and 30 minutes. 14 degrees, 22 minutes and 55 seconds is usually written this way: 14o 220 5500 . Alberto Pardo Milanes Sexagesimal system
  8. 8. Index Angles Time Converting to another system Adding and Subtracting Exercises Time Alberto Pardo Milanes Sexagesimal system
  9. 9. Index Angles Time Converting to another system Adding and Subtracting Exercises To measure time we can use hours: In a day there are twenty-four hours. You can express time to any precision using decimal numbers. There is another way to state the amount of time, subdividing an hour. The hour is divided into sixty parts called minutes. These minutes are further divided into sixty parts called seconds. In a day there are 24 hours, each hour is split up into 60 parts called minutes (each part being 1=60 of an hour), each minute is split up into 60 parts called seconds (each part being 1=60 of a minute). Example: 18 hours,51 minutes and 42 seconds is usually written this way: 18hr 51min 42sec. Alberto Pardo Milanes Sexagesimal system
  10. 10. Index Angles Time Converting to another system Adding and Subtracting Exercises Converting Alberto Pardo Milanes Sexagesimal system
  11. 11. Index Angles Time Converting to another system Adding and Subtracting Exercises Converting Sexagesimal to decimal To convert sexagesimal format to decimal format divide the seconds by three thousand six hundred, then add it to the minutes divided by sixty, and
  12. 12. nally add the degrees. To convert time do the same. Example: 22o 540 1800 is written in the sexagesimal system. To convert it to decimal: 18=3600+54=60+22 = 0;005+0;9+22 = 22;905o. Alberto Pardo Milanes Sexagesimal system
  13. 13. Index Angles Time Converting to another system Adding and Subtracting Exercises Converting Decimal to sexagesimal To convert decimal format to sexagesimal format the whole units of degrees will remain the same, then multiply the decimal by 60, the whole number becomes the minutes, take the remaining decimal and multiply by 60, the resulting number becomes the seconds. Seconds can remain as a decimal. Take your three sets of numbers and put them together, using the symbols for degrees (o), minutes (0), and seconds (00). To convert time do the same. Example: 35;245o is written in the decimal system. To convert it to sexagesimal: 35 are the degrees, 0;245 60 = 14;7 so 14 are the minutes, 0;7 60 = 42 so 42 are the seconds. 35;245 degrees are 35o 140 4200. Alberto Pardo Milanes Sexagesimal system
  14. 14. Index Angles Time Converting to another system Adding and Subtracting Exercises Adding and Subtracting Alberto Pardo Milanes Sexagesimal system
  15. 15. Index Angles Time Converting to another system Adding and Subtracting Exercises Adding and Subtracting To add or subtract angles or time, you must add or subtract the units separately. But you may need to do some adjusting: the hours can not end up 24 or more, the degrees can not end up 360 or more, the minutes can not end up 60 or more, and the seconds can not end up 60 or more. Negative numbers can not be used. Alberto Pardo Milanes Sexagesimal system
  16. 16. Index Angles Time Converting to another system Adding and Subtracting Exercises Adding and Subtracting Adding Add the hours. If the hours are 24 or more, then you have to subtract 24 from the hours and increase the number of days by one. Add the minutes. If the minutes are 60 or more, subtract 60 from the minutes and increase the number of hours by one. Add the seconds. If the seconds are 60 or more, subtract 60 from the seconds and increase the number of minutes by one. To add angles do the same method. Alberto Pardo Milanes Sexagesimal system
  17. 17. Index Angles Time Converting to another system Adding and Subtracting Exercises Adding and Subtracting Adding Example: To add 18hr 55min + 9hr 21min: 18 hr 55 min + 9 hr 21 min 27 hr 76 min 1 day 3 hr 76 min 1 day 4 hr 16 min Add the hours: 18 + 9 = 27. The hours are 24 or more, so we subtract 24 from the hours (27

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