7 How do you find the value of a decimal in integers of less denominations? 8 What is the value of .6725 cwt.? 9 66 66 .785 of a year, of 3651 days? CIRCULATING OR REPEATING DECIMALS. 1 How can you determine when a vulgar fraction can be exactly expressed decimally? P. 175. 2 How many decimal places will there be in the quotient? 3 Can be exactly expressed decimally? 5 Can be expressed exactly in decimals? 18 How do you reduce a pure repetend to a common fraction? 19 Reduce .'6',.'162', 0.769230', .`945', and .'09' to common fractions. 20 How do you reduce a mixed repetend to a common fraction? 21 Reduce .75', 0.4'38', .09'3, 4.7543', 00987' and .45 to common fractions. 22 How do you find the finite figures and the repetend corresponding to any common fraction? 23 Find the finite decimals, if any, and the repetend, if any, of the fractions, 1, 735. 135, 135• 80 PROPERTIES OF THE REPETENDS. 72 1 How may a finite decimal be made circulating? P. 182. 2 When a repetend has a given number of places, to what other form may it be reduced? P. 182. 3 How may it be reduced to that form? 4 To what form may any circulating decimal be reduced? 5 To what form may two or more repetends be reduced? 6 Reduce 2.418', .5'925', .008'497133', to repetends having the same number of places. 7 Reduce 165.164', .'04', .037 to similar and conterminous repetends. ADDITION OF CIRCULATING DECIMALS. 1 How do you add circulating decimals? P. 184. 2 Add 165, .164', 147.04', 4.95', 94.37, 4.712345' together. SUBTRACTION OF CIRCULATING DECIMALS. 1 How do you subtract circulating decimals? P. 184. 2 From 1.4937' take .1475. MULTIPLICATION OF CIRCULATING DECIMALS. 1 How do you multiply circulating decimals? P. 185. 2 Multiply .4705'3 by 1.735'. DIVISION OF CIRCULATING DECIMALS. 1 How do you divide circulating decimals? P. 186. 2 Divide 3.753' by .'24'. CONTINUED FRACTIONS. 1 What is a continued fraction. P. 186. 2 66 3 Reduce an approximating fraction? P. 188. to the form of a continued fraction. under the form of a continued fraction, and find the value of each approximating fraction. 4 Place RATIO AND PROPORTION. 1 What is ratio? P. 189. 2 From how many terms is a ratio derived? Name them? 3 Which is the standard? 4 How may the ratio of two numbers be expressed? 5 How may the ratio of two numbers be read? 6 If two couplets have the same ratio, what may be said of the terms? 7 How are they written? 9 What is a proportion? 10 Which are the extremes of a proportion? 12 What is the product of the extremes equal to? 13 If the product of the means be divided by one of the extremes, what will the quotient be? 14 If the product of the means be divided by either extreme, what will the quotient be? 15 The first three terms of a proportion are 5, 10 and 19: what is the fourth term? 16 The second, third and fourth terms of a proportion are 48, 90, and 45: what is the first term? 17 What is a simple ratio? P. 192. 20 When the standard is greater than the consequent what kind of a number is the ratio? SINGLE RULE OF THREE OR SIMPLE PROPORTION. 1 What is Simple Proportion? P. 193. 2 How many terms employed in Simple Proportion? 3 How many terms must be known before the rest can be found? 4 What is the Rule of Three? 5 How do you find the fourth term? Give the rule. 6 If 120 sheep yield 330 lbs. of wool, how many pounds will 36 sheep yield? 7 The clothing of a regiment of 750 men cost £2834 5s., what will it cost to clothe a body of 10500 men? Art. 199. Ex. 17. CAUSE AND EFFECT. 1 What are causes? P. 198. 2 How many kinds of causes are there? 3 What is a Simple cause? 4 What is a compound cause? 8 66 9 66 66 compound 66 causes are of the same kind? may be compared with each other? 10 What do we infer from the nature of causes and effect? 11 What ratios arise from simple causes and simple effects? 12 From what do compound ratios arise? 13 What questions fall under simple propor tion ? 14 Questions involving compound ratios give rise to what kind of proportion? 15 When are two numbers directly proportional? 16 When are two numbers inversely proportional? |