Arithmetic, in which the Principles of Operating by Numbers are Analytically Explained and Synthetically AppliedJ. & J.W. Prentiss, 1839 |
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Page 3
... manner , the pupil is shown how the solution may be facilitated by figures . In this way he is made to see at once their use and their ap- plication . At the close of the fundamental rules , it has been thought advisable to collect into ...
... manner , the pupil is shown how the solution may be facilitated by figures . In this way he is made to see at once their use and their ap- plication . At the close of the fundamental rules , it has been thought advisable to collect into ...
Page 9
... Ten hundred make a thousand , or a unit of the fourth order . Then follow tens and hundreds of thousands , in the same manner as tens and hundreds of units . To thousands succeed millions , billions , & c . , to T 9 I 2 , 3 . NUMERATION .
... Ten hundred make a thousand , or a unit of the fourth order . Then follow tens and hundreds of thousands , in the same manner as tens and hundreds of units . To thousands succeed millions , billions , & c . , to T 9 I 2 , 3 . NUMERATION .
Page 10
... manner are read the numbers contained in the following * This is according to the French method of counting . The English , after hundreds of millions , instead of proceeding to billions , reckon thousands , tens and hundreds of ...
... manner are read the numbers contained in the following * This is according to the French method of counting . The English , after hundreds of millions , instead of proceeding to billions , reckon thousands , tens and hundreds of ...
Page 13
... manner let the pupil be instructed to commit the following ADDITION TABLE . 2 + 0 2 + 1 = 3 2 + 2 2 + 3 = 5 2 + 2 + 5 = 2 6 4677233 3 + 0 = 3 4 + 0 = 4 5 5 3 + 1 = 4 4 + 1 5 5 + 1 6 3 + 2 = 5 4 + 2 6 5 + 2 = 17 3 + 3 = 6 4 +3 7 5 + 3 ...
... manner let the pupil be instructed to commit the following ADDITION TABLE . 2 + 0 2 + 1 = 3 2 + 2 2 + 3 = 5 2 + 2 + 5 = 2 6 4677233 3 + 0 = 3 4 + 0 = 4 5 5 3 + 1 = 4 4 + 1 5 5 + 1 6 3 + 2 = 5 4 + 2 6 5 + 2 = 17 3 + 3 = 6 4 +3 7 5 + 3 ...
Page 15
... manner are performed the following ex- amples : 15. A man had 15 sheep in one pasture , 20 in another pasture , and 143 in another ; how many sheep had he in the three pastures ? 15 +20 +143 how many ? = 16. A man has three farms , one ...
... manner are performed the following ex- amples : 15. A man had 15 sheep in one pasture , 20 in another pasture , and 143 in another ; how many sheep had he in the three pastures ? 15 +20 +143 how many ? = 16. A man has three farms , one ...
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Common terms and phrases
acres amount annexed annuity answer apples Arithmetic arithmetical series avoirdupois bushels called ciphers compound interest compound numbers contained cord feet cows cube root cubic currency decimal fractions diameter divided dividend division divisor dollars equal EXAMPLES FOR PRACTICE factors farthings federal money foot gain gallons given number greatest common divisor Hence hogshead horse hundred hundredths improper fraction inches last term least common multiple length less number measure miles mills minuend minutes mixed number months multiplicand multiply Note number of terms OPERATION oranges ounce paid payment pence pints pounds present worth principal proportion pupil quantity quarts quotient quotient figure rate per cent ratio receive Reduce remainder right hand figure rule shillings side simple numbers sold solid feet square root subtraction tens thousandths units vulgar fractions weight whole number write yards of cloth
Popular passages
Page 81 - The first seven letters of the alphabet, A, B, C, D, E, F, G, are used to...
Page 114 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 128 - How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered ? 24.
Page 219 - 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.
Page 141 - 03, the same as before. IT 73. The foregoing examples and remarks are sufficient to establish the following RULE. In the division of decimal fractions, divide as in whole numbers, and from the right hand of the quotient point off...
Page 238 - What is the difference between six dozen dozen, and half a dozen dozen ? Ans.
Page 2 - In conformity to the act of Congress of the United States, entitled, " An act for the encouragement of learning, by securing the copies of maps, charts and books, to the authors and proprietors of such copies, during the times therein mentioned ;
Page 236 - When the first term, the ratio, and the number of terms, are given, to find the...
Page 103 - Rule. — Divide the numerator by the denominator, the quotient will be the whole number...
Page 223 - The first term, the last term, and the number of terms be ing given, to find the common difference. RULE. — (') Divide the difference of the extremes by the number of terms less 1, and the quotient will be the common difference. liiieslinn. — 1. How do you find the common difference? EXAMPLES. 1. The extremes are 2 and 53, and the number of terms 18, required the