Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |
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Page vi
... present use in our country ; and reject- ing such as are obsolete , we havo introduced the Standard Units adopted by the Government , together with the methods of determining and apply- ing those standards . 10. Great labor has also ...
... present use in our country ; and reject- ing such as are obsolete , we havo introduced the Standard Units adopted by the Government , together with the methods of determining and apply- ing those standards . 10. Great labor has also ...
Page 30
... present system . If the ratio were less , it would require more places of figures to express large numbers ; if the ratio were larger , it would not indeed require so many figures , but the operations would manifestly be more difficult ...
... present system . If the ratio were less , it would require more places of figures to express large numbers ; if the ratio were larger , it would not indeed require so many figures , but the operations would manifestly be more difficult ...
Page 105
... present at a glance the factors which compose the least common multiple required . 4. Find the least common multiple of 6 , 9 , and 15 . 5. Find the least common multiple of 8 , 16 , 18 , and 24 . 6. Find the least common multiple of 9 ...
... present at a glance the factors which compose the least common multiple required . 4. Find the least common multiple of 6 , 9 , and 15 . 5. Find the least common multiple of 8 , 16 , 18 , and 24 . 6. Find the least common multiple of 9 ...
Page 119
... presents itself to the learner ; for , it is evident , that 2 thirds and 3 fourths neither make 5 thirds , nor 5 fourths . ( Art . 51. ) This difficulty may be removed by reducing the given fractions to a common de- nominator . ( Art ...
... presents itself to the learner ; for , it is evident , that 2 thirds and 3 fourths neither make 5 thirds , nor 5 fourths . ( Art . 51. ) This difficulty may be removed by reducing the given fractions to a common de- nominator . ( Art ...
Page 145
... present standard for both gold and silver coin of the United States , by Act of Congress , 1837 , is 900 parts of pure QUEST . - 245 Of how many kinds are the coins of the United States ? What are they ? What are the gold coins ? The ...
... present standard for both gold and silver coin of the United States , by Act of Congress , 1837 , is 900 parts of pure QUEST . - 245 Of how many kinds are the coins of the United States ? What are they ? What are the gold coins ? The ...
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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.