Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |
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Page vii
... operation explained , it should be done upon the black - board , so that all may see and understand it at once . To illustrate the increase of numbers , the process of adding , subtracting , multiplying , dividing , & c . , to young ...
... operation explained , it should be done upon the black - board , so that all may see and understand it at once . To illustrate the increase of numbers , the process of adding , subtracting , multiplying , dividing , & c . , to young ...
Page viii
... operation should be proved . The intellectual discipline and habits of accuracy thus secured , will richly reward the student for his time and toil . 3. Not a recitation should pass without practical exercises upon the black- board or ...
... operation should be proved . The intellectual discipline and habits of accuracy thus secured , will richly reward the student for his time and toil . 3. Not a recitation should pass without practical exercises upon the black- board or ...
Page 15
... operation by which the answer of a problem is found , is called a solution . 3. When the given problem is so easy , as to be obvious to every one without explanation , it is called a postulate . 14. One proposition is contrary , or ...
... operation by which the answer of a problem is found , is called a solution . 3. When the given problem is so easy , as to be obvious to every one without explanation , it is called a postulate . 14. One proposition is contrary , or ...
Page 17
... operation , they must be connected by a line ( — ) placed QUEST . - 22 . What is the sign of addition called ? Of what does it consist ? What does it show ? Obs . What is the meaning of the term plus ? 23. How is subtraction represented ...
... operation , they must be connected by a line ( — ) placed QUEST . - 22 . What is the sign of addition called ? Of what does it consist ? What does it show ? Obs . What is the meaning of the term plus ? 23. How is subtraction represented ...
Page 31
... operation is called Simple Addition . Ex . 2. A miller bought 7864 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 ...
... operation is called Simple Addition . Ex . 2. A miller bought 7864 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 ...
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Common terms and phrases
acres amount Analysis annexed answer required antecedent Arithmetic avoirdupois bank discount barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS common fraction composite number compound numbers consequently contained cost cube currency decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure duodecimals equal expressed farthings Federal Money gain 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 miles mills mixed number mixture months multiplicand Multiply number of days Operation partial product payable pence period pound premium present worth prime factors prime number principal proportion quantity quotient rate per cent ratio remainder rods shillings sold subtract thousandths Troy Troy weight units usury weight whole number yard
Popular passages
Page 369 - 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 237 - ... dividend, as many places to the left as there are ciphers in the divisor.
Page 97 - 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 366 - 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 74 - In the same manner it may be shown, that removing two ciphers from the right of a number, divides it by 100; removing three, divides it by 1000 ; removing four, divides it by 10000, &c.
Page 204 - 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 259 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Page 314 - ... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction.
Page 48 - Multiplying ly any whole number, is taking the multiplicand as many times, as there are units in the multiplier.
Page 106 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, •f , if.