An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ofHilliard and Metcalf, 1825 - 144 σελίδες |
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Σελίδα 12
... gives a true result is indisputa- ble , because in taking from the greater of the two numbers all the parts of the least , we evidently take from it the whole of the least . 15. The application of this process requires particular atten ...
... gives a true result is indisputa- ble , because in taking from the greater of the two numbers all the parts of the least , we evidently take from it the whole of the least . 15. The application of this process requires particular atten ...
Σελίδα 14
... gives , as is wanted , a result one less than would arise from the written figures . In the first of the following examples , after having taken 6 units from 14 , we count the next figure of the lower number 8 , as 9 , and so in the ...
... gives , as is wanted , a result one less than would arise from the written figures . In the first of the following examples , after having taken 6 units from 14 , we count the next figure of the lower number 8 , as 9 , and so in the ...
Σελίδα 15
... . 20. The proof of subtraction is , that the remainder , added to the less number , exactly gives the greater . Thus to ascertain the exactness of the following subtraction , 524 297 227 524 we add the remainder to the Subtraction . 15.
... . 20. The proof of subtraction is , that the remainder , added to the less number , exactly gives the greater . Thus to ascertain the exactness of the following subtraction , 524 297 227 524 we add the remainder to the Subtraction . 15.
Σελίδα 18
... gives a good illustration of the manner , in which the product of two numbers is formed . To make it more easily un- derstood , we will apply it first to the factors 5 and 3 . If we write the figure 1 five times on one line , and place ...
... gives a good illustration of the manner , in which the product of two numbers is formed . To make it more easily un- derstood , we will apply it first to the factors 5 and 3 . If we write the figure 1 five times on one line , and place ...
Σελίδα 26
... gives 15 hundreds , and the dividend , 1656 , con- tains 16 hundreds ; the difference , 1 hundred , must have come then from the reserved number , arising from the multiplication of the other figures of the quotient by the divisor . If ...
... gives 15 hundreds , and the dividend , 1656 , con- tains 16 hundreds ; the difference , 1 hundred , must have come then from the reserved number , arising from the multiplication of the other figures of the quotient by the divisor . If ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
added algebra Arith arithmetic arithmetical progression Avoirdupois bers called CHAPTER ciphers coined comma compound numbers consequently consider contains crowns cube root decametre decimal fraction denominator difference divided dividend division dollars ducats equal equation evident Examples for practice exponent expression florins four numbers gallon given number gives greater number greatest common divisor hundred hundredths inches infinite infinite series instance integer kind lastly less letters lire manner measures multiplicand multiplied myriogramme negative numbers number of days number of terms obtain operation pence performed piece pound preceding prime numbers proportion quantity question quotient ratio reduced relation remainder represented resolved result Rix-dollar rule Scudo shews shillings square root stivers subtract suppose third tion units unity vulgar fraction weight whence wherefore whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 13 - When the numerator is less than the denominator, the value of the fraction is less than 1.
Σελίδα 71 - From the above example we may deduce the following general rules, namely, /To reduce the- several parts of a compound number to a fraction of the highest denomination contained in it, make the lowest term the numerator of a fraction, having for its denominator the number which it takes of this denomination to make one of the next higher, and add to this the next term reduced to a fraction of the same denomination, then multiply the denominator of this sum by so many as make one of the next...
Σελίδα 106 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.
Σελίδα 115 - How much gold of 15, of 17, and of 22 carats fine, must be mixed with 5 oz. of 18 carats fine, so that the composition may be 20 carats fine ? Ans.
Σελίδα 118 - A man, being asked how many sheep he had in his drove, said, if he had as many more, half as many more, and 7 sheep and a half, he should have 20 ; how many had he ? Ans. 5.
Σελίδα 64 - By this measure, Land, and Husbandmen and Gardeners' work are measured ; also Artificers' work, such as Board, Glass, Pavements, Plastering, Wainscoting Tiling, Flooring, and every dimension of length and breadth only. When three dimensions are concerned, namely, length, breadth, and depth or thickness, it is called cubic or solid measure, which is used to measure Timber, Stone, &c. The cubic or solid Foot, which is 12 inches in length and breadth and thickness, contains 1728 cubic or solid inches,...
Σελίδα 13 - We have seen in the preceding exercise that we may divide both the numerator and the denominator of a fraction by the same number without changing the value of the fraction.
Σελίδα 101 - A wall that is to be built to the height of 27 feet, was raised 9 feet by 12 men in 6 days ; how many men must be employed to finish the wall in 4 days at the same rate of working ? If 402.