Repeating Decimals-Definition of, &c.... Reduction of Repeating Decimals..... Addition of Repeating Decimals.. Subtraction of Repeating Decimals. UNIVERSITY ARITHMETIC. Definitions. 1. A UNIT is a single thing, or one. 2. A NUMBER is a unit, or a collection of units. 3. SCIENCE treats of the properties and relations of things ART is the practical application of the principles of Science. 4. ARITHMETIC is the Science of Numbers, and also the Art of applying numbers to practical purposes. 5. A PROPOSITION is something to be done, or demonstrated. 6. AN ANALYSIS is an examination of the separate parts of a proposition. 7. AN OPERATION is the doing of something with numbers. 8. A RULE is the direction for performing an operation. 9. AN ANSWER is the result of a correct operation. Operations of Arithmetic. 10. There are, in Arithmetic, five fundamental operations: Notation and Numeration, Addition, Subtraction, Multiplica tion, and Division. 1 What is a Unit 1-2. What is a Number ?-3. Of what does Science treat? What is Art?-4. What is Arithmetic ?-5. What is a Proposi tion ?-6. What is an Analysis?-7. What is an Operation ?-8. What 18 a Rule?-9. What is an Answer?-10. How many fundamental oper ations are there in Arithmetic? What are they? Expressing Numbers. 11. There are three methods of expressing numbers: 1. By words, or common language; 2. By letters, called the Roman method; 3. By figures, called the Arabic method. Each of the words, one, two, three, four, &c., expresses a number, and denotes how many units are taken. These words are generally called numbers; though, in fact, they are but the names of numbers. NOTATION AND NUMERATION. 13. NOTATION is the method of expressing numbers, either by letters or figures. NUMERATION is the art of reading, correctly, any number, expressed by letters or figures. There are two methods of Notation: the one by letters, the other by figures. The method by letters is called the Roman Notation; the method by figures is called the Arabic Notation. |