# A Treatise on Arithmetic ...: In which the Principles of the Science are Inductively Developed ... Combining Written Arithmetic with Copious Mental Exercises ...

Packard & Butler, 1830 - 288 páginas

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### Contenido

 Addition 6 Subtraction 15 MENTAL AND WIRITTEN ARITHMETIC COMBINED 24 Numeration Table 30 The Roman Notation 36 Written Addition 43 Observations on ADDItion 50 Multiplication Table 57
 Division 134 Division of time 44 136 RULE of three by Analysis 142 To find a com denominator 148 Multiplicationa Fraction by a whole number 154 FELLowship simple and compound by analysis and ratio 15961 162 Coinage Trial of Gold and Silver 4 170 REPETENDs or CIRCULATING DECIMALs 175 78 176

 Origin of measures of length of surface of capacity and 61 When it is more than 12 and not composite 65 65 To multiply in any case 72 Origin of weights and the balance 136 77 Dry Measure 78 ABBREvLATED MULTIPLICATION 86 Written Subtraction 94 Written Division 103 NoTATION of FRACTIONS 109 Weights MEASUREs c Wine Measure 116 Reduction Ascending 122 COMPOUND NUMBERSAddition 128
 To reduce decimals to whole numbers of lower denom 182 Theory of circulates 188 TIME RATE and INT given to find PRIN 217 Mode of discounting in banks 223 Notes with ENDoRsEMENTs com rule 231 RATIO 237 FELLowsHIPsimple by proportion 245 Various modes of solution 254 INVOLUTION 262 ARITHMETICAL PROGRESSION 272 ANNUITIESat simple interest 276 Combination lotteries 282

### Pasajes populares

Página 75 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Página 270 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 46 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Página 58 - What is 1 eighth of 1 ? of 2 ? of 3 ? of 4 ? of 5? of 6?
Página 77 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Página 77 - TROY WEIGHT. 24 grains gr. make 1 pennyweight, dwt. 20 pennyweights " 1 ounce. oz. 12 ounces " 1 pound. Ib. Table IV. — AVOIRDUPOIS WEIGHT 16 drams dr. make 1 ounce. oz. 16 ounces " 1 pound. Ib. "I"""" " 4 quarters make 1 hundred weight.
Página 81 - Number contains but one name or denomination ; thus, 5, 84, 12 bushels, 65 dollars, are simple numbers. A Compound Number contains two or more names or denominations ; thus, 5 dollars 25 cents, 16 bushels 3 pecks, 3 days 10 hours, are compound numbers. Reduction is the process of changing numbers from one denomination to another, without altering their value ; thus, changing pounds to ounces, ounces to pounds, dollars to cents, &c., is reduction. 1. How many mills in 2 cents? in 3 cents? 2. How many...
Página 273 - A man bought a horse, agreeing to give 1 cent for the first nail in his shoes, three for the second, and so on. The shoes contained 32 nails; what was the cost of the horse 1 • 374.
Página 253 - PRACTICE. 1. If 6 men build a wall 20 ft. long, 6 ft. high, and 4 ft. thick, in 16 days, in what time will 24 men build one 200 ft. long, 8 ft. high, and 6 ft. thick ? Ans. 80 days.
Página 38 - His teacher punished him, for soiling the book, by giving him 4 blows on one hand, and 5 on the other. How many blows did he strike him ? 4 and 5 are how many?