How many feet a fathom ? Ans. 6. How many parts is an ounce of gold divided into ? Ans. 24. What are the parts called ? Ans. Carats. How many carats fine is such gold, as will abide the fire without loss accounted ? Ans. 24. How many ounces in a pound of silver that los. es nothing in trial ?. Ans. 12. What is that baser metal which is sometimes mixed with silveror gold, called ? Ans. Alloy. How many characters are there in Arithmetic to express numbers ? Ans. 10. How many of these are called figures ? Ans. 9. What are they? Ans. 1, 2, 3, 4, 5, 6, 7, 8, 9. What is the other character called ? Ans. 0, or cypher. By what other name are they sometimes called! Ans. Digits. How many Roman letters are usad to express numbers ? Ans. 7. What are they? 1,V,X,L,C,D,M. What do two parallel horizontal lines signify ? Ans. Equality; as 5 and 9 are equal to=14. What does St. George's Cross signify? Ans. Addition; as 8 and 7 are equal to 15; thus 8+7=15 What does one horizontal line signify? Ans. Subtraction; as 3 taken from 9 leaves 6; thus 9-3=6 What does St. Andrew's Cross signify? Ans. Multiplication; as 8 multiplied by 3 makes 24; thus 8x3=24. What does a horizontal line between two points signify? Ans. Division; as the number of times 5. there are in 20; thus 20:5=4., What do 8 dots signify. Ans. Proportion; as 2 is to four, so is 8 to 16 thus 2:4::8:16. ARITHMETIC. What is the computing by numbers called? Ans, Arithinetic. How many rules for its operation? Ans. Five. What are they?--Ans. Notation, or Numeration, Addition, Subtraction, Multiplication: and Division. How many values have figures?. Ans. Two.. What is the value of a figure standing alonet Ans. Simple, . Bd What is its value when combined with other fig. ures? Ans. Local; as 20. | What is the value of a cypher standing alone? Ans. No value.. Does it increase or diminish the value when placed at the right hand of figures? Ans. Increase. In what proportion? Ans. Tenfold. What is the art of numbering called? Ans. Notation, or Numeration. .. Which hand begin to numerate? Ans. Right, Which hand to read? Ans. Left. In reading what value do you give those figures. that were called units, when numerated?. Ans. Units. What value do you give hundreds? A. Hundreds. What thousands &c.? Ans. Thousands and so ona Repeat the Numeration Table, and the correspond ing value of the figures prefixed; without looking. on the book. C.of Thousands of Trillions. X.of Thousands of Trillions. 53 Quatrillions. Thousands of Trillions. X. of Trillions. Trillions. Thousands of Millions. C. of Millions. X. of Millions.' 53 Millions. 53 C. of Thousands. 53 X. of Thousands. 53 Thousands. 53 Hundreds. 53 Tens. 53 Units. 53 53 53 53 53 53 53 53 200 Repeat the Notation by Roman Letters. XVI 16 300 XVII 18 CCCC 400 XIX 19 D 500 . VI XX DC 600 VII y XXX 30 DCC. 700 VIII 8 XL DCCC 800 IX 19. L . 50 DCCCC 900 X 10 LX 60 M 1000 XI 11. LXX 70 MD 1500 XI 12 LXXX 80 MDC 1600 XIII 13 XC '90 MDCC 1700 XIV '14 C 100 MDCCCXXVI. 1826 20 ADDITION. What is the collecting of numbers together in one sum called? Ans. Addition. What is the collecting of several numbers of the same kind, or denomination called? Ans. Simple Addition. What do you mean by the same kind, or denomination? Ans. All pounds, all dollars, all cents. or 'all drams, &c. flow place unit's tens, &c. Ans. units under units, teus under tens, &C. What hand begin 'to add? Ans. Right. How do yon carry? Ans. One for every ten, or set down the right hand figure, and carry the left hand figure or figures to the next column. What do you mean by carrying so may as you have tens? Ans. Add so many to the next columt: What is the proof? Ans. Cut off the upper line, and find the amount of the rest; then if this amount and upper line when added, be equal to the first . amount, the work is right. Why begin to add to the right hand? Ans. Because figures increase from the right to the lefl. Why carry one for every ten Ans. Because ten anits makes one ten, and tea tens one hundred and so on. To illustrate: You have 4 marbles in one hand, and six in the other, how many have you in both · hands? How many are four and six then? By what name are 4 and 6 added together called Ans. Amount. EXAMPLES. You bought an orange for nine cents, and a melJon for 15 cents; what did you pay for both? James bought a top for 6 cents, a knife for 12 cents, and an inkstand for 8 cents; how much did they all come to? Harry, and James lose some money, James lost 20 cents, and Harry 12; how much did they both lose? A boy laid out ten cents in marbles, 8 cents in quills, 6 cents for a slate pencil; how much did he lay out in all? You give 20 cents for Practical Arithmetic, 8 cents for a ruler, 9 cents for an inkstand, and lose 6 cents;-how much money has gone from you? A man gave his children money in the following manner; to his oldest 3 dollars, to James 5 dollars, to Thomas 9 dollars and to his two daughters 4 dollars |