Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ...Ivison & Phinney, 1847 - 422 σελίδες |
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Σελίδα vi
... carry for them , unless perchance the examples are constructed for the occasion and with special reference to avoiding these difficulties . For the same reason Federal Money , which is based upon the decimal notation , is placed after ...
... carry for them , unless perchance the examples are constructed for the occasion and with special reference to avoiding these difficulties . For the same reason Federal Money , which is based upon the decimal notation , is placed after ...
Σελίδα 14
... carry to the mind of every one who is once made acquainted with them . This is to be ascribed partly to the nature of the subjects , and partly to the exactness of the definitions , the axioms , and the demonstrations . 10. A definition ...
... carry to the mind of every one who is once made acquainted with them . This is to be ascribed partly to the nature of the subjects , and partly to the exactness of the definitions , the axioms , and the demonstrations . 10. A definition ...
Σελίδα 21
... carried this mode of notation no further . When they had occasion to express a larger number , they did it by repetition . Thus , CCCIƆƆƆ , CCCIIDƆ , expressed two hundred thousand , & c . 33. The common method of expressing numbers is ...
... carried this mode of notation no further . When they had occasion to express a larger number , they did it by repetition . Thus , CCCIƆƆƆ , CCCIIDƆ , expressed two hundred thousand , & c . 33. The common method of expressing numbers is ...
Σελίδα 32
... carrying tens . 53. The principle of carrying may be illustrated in the follow- ing manner . Take , for instance , the last example , and adding as before , write the sum of each column in a separate line . Thus , the sum of the units ...
... carrying tens . 53. The principle of carrying may be illustrated in the follow- ing manner . Take , for instance , the last example , and adding as before , write the sum of each column in a separate line . Thus , the sum of the units ...
Σελίδα 33
... carrying it to the next column . 2. From the preceding illustration it will also be seen , that the object of beginning to add at the right hand is , that we may carry the tens , as we pro- ceed in the operation . 54. From the preceding ...
... carrying it to the next column . 2. From the preceding illustration it will also be seen , that the object of beginning to add at the right hand is , that we may carry the tens , as we pro- ceed in the operation . 54. From the preceding ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
acres amount annexed answer required apiece Arithmetic avoirdupois bank discount barrels bbls bought bushels called cancel ciphers CIRCULATING DECIMALS common fraction composite number compound numbers cost cube decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple less number miles mills mixed number months multiplicand Multiply notation number of days odd number Operation partial product payable pence period pound present worth prime factors prime number principal quotient rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy weight units usury weight whole number wine measure yards
Δημοφιλή αποσπάσματα
Σελίδα 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 76 - Cut off as many figures from the right hand of the dividend as there are ciphers in the divisor. The remaining figures of the dividend will be the quotient, and those cut off the remainder.
Σελίδα 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Σελίδα 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Σελίδα 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Σελίδα 149 - 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,.
Σελίδα 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 44 - PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right. OBS. This method of proof depends upon the principle, that the difference between two numbers being added to the less, the sum must be equal to the greater.
Σελίδα 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 369 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.