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 have 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 have 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 added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - 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 109 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 95 - 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 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
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 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - 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.
Page 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - 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.