Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |
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Page iii
... HUNDRED AND TWENTIETH EDITION . NEW YORK : IVISON & PHINNEY , 48 & 50 WALKER ST . ( SU C O R S SORS OF MARK H. NEWMAN & CO . ) CHICAGO : S. C. GRIGGS & CO . , 39 & 41 LAKE ST . BUFFALO : PHINNEY & CO . 1 * FOR SCHOOLS AND ACADEMIES . I ...
... HUNDRED AND TWENTIETH EDITION . NEW YORK : IVISON & PHINNEY , 48 & 50 WALKER ST . ( SU C O R S SORS OF MARK H. NEWMAN & CO . ) CHICAGO : S. C. GRIGGS & CO . , 39 & 41 LAKE ST . BUFFALO : PHINNEY & CO . 1 * FOR SCHOOLS AND ACADEMIES . I ...
Page 20
... hundred . XII twelve . CCC XIII thirteen . CCCC ninety . one hundred . one hundred and one . one hundred and ten . three hundred four hundred . XIV fourteen . D five hundred . XV • fifteen . ᎠᏟ << six hundred . XVI sixteen . XVII 66 ...
... hundred . XII twelve . CCC XIII thirteen . CCCC ninety . one hundred . one hundred and one . one hundred and ten . three hundred four hundred . XIV fourteen . D five hundred . XV • fifteen . ᎠᏟ << six hundred . XVI sixteen . XVII 66 ...
Page 21
... hundred , and the latter a thousand : for this reason it is supposed they were adopted to represent these numbers . 31. a . It will be perceived from the Table above , that every time a letter is repeated , its value is repeated . Thus ...
... hundred , and the latter a thousand : for this reason it is supposed they were adopted to represent these numbers . 31. a . It will be perceived from the Table above , that every time a letter is repeated , its value is repeated . Thus ...
Page 22
... hundred is expressed by com- bining the 1 and two Os , thus 100 ; two hundred , thus 200 ; a thousand by combining the 1 and three Os , thus 1000 ; two thou- sand , thus 2000 ; ten thousand , thus 10,000 ; a hundred thousand , thus ...
... hundred is expressed by com- bining the 1 and two Os , thus 100 ; two hundred , thus 200 ; a thousand by combining the 1 and three Os , thus 1000 ; two thou- sand , thus 2000 ; ten thousand , thus 10,000 ; a hundred thousand , thus ...
Page 23
... hundred ? How many hundreds . make a thousand ? How many of an inferior order are required to make one of the next superior order ? 36. What is the general law by which numbers increase ? What is the effect upon the value of a figure to ...
... hundred ? How many hundreds . make a thousand ? How many of an inferior order are required to make one of the next superior order ? 36. What is the general law by which numbers increase ? What is the effect upon the value of a figure to ...
Contents
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 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.
Page 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.
Page 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,.
Page 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.
Page 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.
Page 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.
Page 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.