DUODECIMALS. 1 What are duodecimals? P. 144. 2 Describe the manner of dividing the unit, 1 foot, etc. 3 What are indices? 4 By what rules do you operate on duodecimal units? 5 What are the units of the scale? 6 What is the sum and difference of 1001 ft. 0'0" 10" and 720 ft. 10' 9" 1""? Ex. 15. Art. 140, 7 How do you multiply duodecimals? 8 At 16 cents a yard, what will it cost to plaster a room 22 ft. 8' long, 18 ft. 9' wide, and 11 ft. 6' high? There are to be deducted 8 windows, 6 ft. 4' high, and 2 ft. 9' wide; 2 doors, 7 ft. 6' high and 3 ft. 2′ wide, and the base moulding, which is 1 ft. wide. Art. 141, Ex. 17. 9 How do you divide duodecimals? P. 48. 10 From a cellar 42 ft. 10' long, 12 ft. 6' wide, there were thrown 158 cu. yds. 17 cu. ft. 4' of earth. How deep was it? Art. 142, Ex. 8. DECIMAL FRACTIONS. 1 How many kinds of fractions are there? Name them. P. 150. 2 What is a common fraction? 4 How are decimal fractions formed? 5 What gives denomination to the fraction? 6 How are decimal fractions expressed? 7 What is the denominator of a decimal fraction? 8 What is the place next the decimal point called? 9 Which way are decimals numerated? 10 How may whole numbers be joined to decimals? 11 What is such a number called? 12 How do you write decimals? 14 If the denominations of federal money be expressed decimally, what is the unit? P. 154. 15 What part of a dollar is a dime? 16 What part of a dime is a cent? 17 When is a cypher annexed to a number? 18 Does annexing a cypher to a decimal alter its value? 19 When is a cypher prefixed to a number? 20 When prefixed to a decimal, what effect does it have upon the value of the fraction? ADDITION OF DECIMALS. 1 How do you add decimals? P. 156. 2 What parts of unity may be added together? 3 How many decimal places do you point off in the sum ? 4 How do you prove addition of decimals? SUBTRACTION OF DECIMALS. 1 How do you subtract decimals? 2 How do you prove subtraction of decimals? 3 What is the difference between .105 and 1.00075? MULTIPLICATION OF DECIMALS. 1 Describe multiplication of decimals throughout. P. 160. 2 When there are not so many decimal places in the product as in the multiplier and multiplicand, what do you do? 3 How do you prove multiplication of decimals? 4 Multiply three hundred and twenty-seven hundredths by 62. 5 What is the product of 50 thousand by 75 ten millionths? 6 What is the product of 48 hundredths by 75 ten thousandths? CONTRACTIONS IN MULTIPLICATION OF DECIMALS. 1 What is contraction in multiplication of decimals? P. 162. 2 How are the numbers written down for multiplication? 3 When the numbers are written thus, what will be the order of value of the product of any figure of the multiplier by the figure directly over it? 4 Where, then, is the first figure of each product to be written? 5 How do you compensate for the part omitted? 6 Multiply 475.710564 by 3416494, retaining ́ three decimal places in the product. 7 How do you multiply a decimal number by 10, 100, 1000, etc.? 8 If there are not as many decimal figures as there are cyphers in the multiplier, what do you do? DIVISION OF DECIMALS. 1 How do you divide decimals? P. 164. 4 If 375.25 bushels of salt cost $235.655, what is the price per bushel? 5 How do you determine the number of decimal places in the quotient? 6 How do you divide a decimal number by 10, 100, 1000, etc.? 7 If there are not as many figures at the left of the decimal point as there are cyphers in the divisor, what do you do? 8 If there are more decimal places in the divisor than in the dividend, what do you do? 9 What will the figures of the quotient then be? 10 How can you continue the division after you have brought down all the figures of the dividend? 11 When the division does not terminate, what sign do you place after the quotient? 12 Divide .02 by .6; 37.4 by 4.5. CONTRACTIONS IN DIVISION OF DECIMALS. 1 What are contractions in division of decimals? P. 168. 2 Explain the process of making the division. 3 Divide 59 by .74571345, and let the quotient contain four places of decimals. REDUCTION OF COMMON AND DECIMAL FRACTIONS. 1 How do you change a common to a decimal fraction? P. 170. 12 2 What is the decimal value of 3 of 3 of ? 3 How do you change a decimal to a common fraction? 4 Reduce .265625 to a common fraction. DENOMINATE DECIMALS. 1 What is a denominate decimal? P. 171. 2 How do you find the value of a denominate number in decimals of a higher unit? 3 Reduce 14 drams to the decimal of a lb. avoirdupois. 4 Reduce 19s. 5d. 2far. to the decimal of a pound Sterling. 5 Reduce 1r. 37p. to the decimal of an acre. 6 3ft. 4' 8" 3" to feet and to the decimal of a foot. |