Arithmetic: In which the Principles of Operating by Numbers are Analytically Explained, and Synthetically Applied : ... Designed for the Us of Schools and Academies in the United StatesContains problems and exercises to instruct students in basic arithmetic. |
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Page 9
... Hence it appears , that figures have a different value according to the PLACE they occupy , counting from the right hand towards the left . und . Tens . its . Take for example the number 3 3 3 , made by the same figure three times ...
... Hence it appears , that figures have a different value according to the PLACE they occupy , counting from the right hand towards the left . und . Tens . its . Take for example the number 3 3 3 , made by the same figure three times ...
Page 23
... Hence , subtraction may be proved by addition , as in the foregoing examples , and addition by subtraction . To prove subtraction , we may add the remainder to the subtrahend , and , if the work is right , the amount will be equal to ...
... Hence , subtraction may be proved by addition , as in the foregoing examples , and addition by subtraction . To prove subtraction , we may add the remainder to the subtrahend , and , if the work is right , the amount will be equal to ...
Page 28
... Hence , Multiplication is a short way of performing many additions ; in other words , -It is the method of repeating any number any given number of times . SIGN . Two short lines , crossing each other in the form of the letter X , are ...
... Hence , Multiplication is a short way of performing many additions ; in other words , -It is the method of repeating any number any given number of times . SIGN . Two short lines , crossing each other in the form of the letter X , are ...
Page 32
... Hence , 136 dollars , the price of 1 ton . 8 one of the component parts , or factors . 1088 dollars , the price of 8 tons . 12 the other component part , or factor . Ans . 13056 dollars , the price of 96 tons . 3. Supposing 342 men to ...
... Hence , 136 dollars , the price of 1 ton . 8 one of the component parts , or factors . 1088 dollars , the price of 8 tons . 12 the other component part , or factor . Ans . 13056 dollars , the price of 96 tons . 3. Supposing 342 men to ...
Page 33
... hence , to multiply any number by 10 , it is only necessary to write a cipher on the right hand of it . Thus , 10 times 25 are 250 ; for the 5 , which was units before , is now made tens , and the 2 , which was tens before , is now made ...
... hence , to multiply any number by 10 , it is only necessary to write a cipher on the right hand of it . Thus , 10 times 25 are 250 ; for the 5 , which was units before , is now made tens , and the 2 , which was tens before , is now made ...
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Common terms and phrases
acres amount annexed annuity answer apples arithmetical series avoirdupois bushels called ciphers common difference compound interest compound numbers contained cord feet cows cube root cubic currency decimal fractions denominator 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 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 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
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 36 - Two men, A and B, start from the same place at the same time, and travel the same way ; A...
Page 82 - make 1 minute, marked '. 60 minutes 1 degree, - - °. 30 degrees - - 1 sign, - - s. 12 signs or 360° 1 circle, - - c. cs o 1 = 12 = 360 = 21600 = 1296000 1= 30= 1800= 108000 1= 60= 3600 1= 60 EXAMPLES. 1. Reduce 5s. 29° 25
Page 107 - Hence the ride for finding the greatest common divisor of two numbers: — -Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.
Page 36 - Two men depart from the same place, and travel in opposite directions, one at the rate of 27 miles a day, the other 31 miles a day ; how far apart will they be at the end of 6 days ? Ans.
Page 69 - TABLE. 4 farthings (qrs.) make 1 penny, marked d. 12 pence - - - - 1 shilling, - - s. 20 shillings - - - - 1 pound, - - £. Note.
Page 261 - W. X., his executors, administrators or assigns ; for which payment, well and truly to be made, I bind myself, my heirs, executors and administrators, firmly by these presents.
Page 104 - To reduce a mixed number to an improper fraction, — • RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 39 - It shows that the number before it is to be divided by the number after it. Thus...