Introduction to the National Arithmetic ...R.S. Davis, 1851 |
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Page 3
... reasons for the operations are explained , and an attempt is made to secure to the learner a knowledge of the philosophy of the subject , and prevent the too prevalent prac- tice of merely performing , mechanically , operations which he ...
... reasons for the operations are explained , and an attempt is made to secure to the learner a knowledge of the philosophy of the subject , and prevent the too prevalent prac- tice of merely performing , mechanically , operations which he ...
Page 4
... reasons for the various steps in the operation by which he arrives at any result in the solution of a question . The object of studying mathematics is not only to acquire a knowledge of the subject , but also to secure mental discipline ...
... reasons for the various steps in the operation by which he arrives at any result in the solution of a question . The object of studying mathematics is not only to acquire a knowledge of the subject , but also to secure mental discipline ...
Page 20
... reason of this proof is , that , by adding downward , the order of the figures is inverted ; and , therefore , any error made in the first addition would probably be detected in the second . NOTE . This method of proof is generally used ...
... reason of this proof is , that , by adding downward , the order of the figures is inverted ; and , therefore , any error made in the first addition would probably be detected in the second . NOTE . This method of proof is generally used ...
Page 22
... reason of this proof depends on the obvious principle , That the sum of all the parts into which any number is divided is equal to the whole . 2 . OPERATION . EXAMPLES FOR PRACTICE . 3 . 2 . 3 . OPERATION AND PROOF . OPERATION ...
... reason of this proof depends on the obvious principle , That the sum of all the parts into which any number is divided is equal to the whole . 2 . OPERATION . EXAMPLES FOR PRACTICE . 3 . 2 . 3 . OPERATION AND PROOF . OPERATION ...
Page 31
... reason of this operation depends upon the self - evident truth , That , if any two numbers are equally increased , their difference re- mains the same . In this example 10 tens , equal to 1 hundred , were added to the 2 tens in the ...
... reason of this operation depends upon the self - evident truth , That , if any two numbers are equally increased , their difference re- mains the same . In this example 10 tens , equal to 1 hundred , were added to the 2 tens in the ...
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Introduction to the National Arithmetic, on the Inductive System Benjamin Greenleaf Limited preview - 2023 |
Common terms and phrases
20 per cent annuity answer barrels of flour Bought bushels called cancel ciphers circumference common denominator common difference common divisor compound interest compound numbers containing cords cost cube root cubic feet diameter discount dividend dollars equal EXAMPLES FOR PRACTICE factors farthings find the interest gain gallons Give the reason given number given sum greatest common divisor hogshead hundred improper fraction inches interest of $1 last term least common least common multiple less lower denomination lowest terms miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain paid payment pence present worth principal proportion quantity QUESTIONS quotient rate per cent ratio received Reduce remainder rule for finding sell shillings simple fraction sold square feet square rods square root subtract subtrahend thousand thousandths tons United States money vulgar fraction weight whole number write yards
Popular passages
Page 209 - Compute the interest on the principal sum, from the time when the interest commenced, to the first time when a payment was made, which exceeds, either alone, or in conjunction with the preceding payments, if any, the interest at that time due ; add that interest to the principal, and from...
Page 8 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
Page 277 - SPHERE is a solid bounded by one continued convex surface, every part of which is equally distant from a point within, called the centre.
Page 280 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 211 - Compute the interest to the time of the first payment; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 279 - ... series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means.
Page 138 - Mnltiple of two or more numbers is a number that can be divided by each of them without a remainder; thus 12 is a common multiple of 3 and 4.
Page 158 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 211 - ... compute the interest on the principal sum due on the obligation for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year : add it to the sum paid, and deduct that sum from the principal and interest added as above...
Page 306 - To find the solidity, or volume, of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity or volume.