Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |
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Page 31
... bushels of wheat of one man , 4952 bushels of another , and 3273 bushels of another : how many bushels did he buy of all ? Operation . 7864 4952 3273 Ans . 16089 bu . Write the numbers under each other , so that units may stand under ...
... bushels of wheat of one man , 4952 bushels of another , and 3273 bushels of another : how many bushels did he buy of all ? Operation . 7864 4952 3273 Ans . 16089 bu . Write the numbers under each other , so that units may stand under ...
Page 33
... bushels , which is the same as in the solution above . Thus , it is evident , when the sum of a column exceeds 9 , the right hand figure denotes units of the same order as the column added , and the tens or left hand figure denotes ...
... bushels , which is the same as in the solution above . Thus , it is evident , when the sum of a column exceeds 9 , the right hand figure denotes units of the same order as the column added , and the tens or left hand figure denotes ...
Page 34
... .-- Note . Why add the columns downwards , instead of upwards ? Can addition be proved by any other methods ? * Wallis ' Arithmetic , Oxford , 1657 . tained 6725 bushels , the second 7208 , the third 34 [ SECT . II . ADDITION .
... .-- Note . Why add the columns downwards , instead of upwards ? Can addition be proved by any other methods ? * Wallis ' Arithmetic , Oxford , 1657 . tained 6725 bushels , the second 7208 , the third 34 [ SECT . II . ADDITION .
Page 35
... bushels , the second 7208 , the third 5047 , the fourth 12386 , and the fifth 10391 bushels : how many bushels did he buy ? 3. A tavern - keeper bought six loads of hay which weighed as follows : 1725 pounds , 2163 pounds , 1581 pounds ...
... bushels , the second 7208 , the third 5047 , the fourth 12386 , and the fifth 10391 bushels : how many bushels did he buy ? 3. A tavern - keeper bought six loads of hay which weighed as follows : 1725 pounds , 2163 pounds , 1581 pounds ...
Page 45
... bushels of it : how many bushels had he left ? 3. A speculator laid out 50000 dollars in wild land , and after- wards sold it at a loss of 19046 dollars : how much did he get for his land ? 4. A man owning a block of buildings worth ...
... bushels of it : how many bushels had he left ? 3. A speculator laid out 50000 dollars in wild land , and after- wards sold it at a loss of 19046 dollars : how much did he get for his land ? 4. A man owning a block of buildings worth ...
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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.