A System of Arithmetic: Reprinted from the Mathematical Text-book |
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Page 14
... evident from the nature of notation . For any other disposition of the numbers would entirely alter their value ; and carrying one for every ten , from an inferior row or column to a superior , is evidently right , since an unit in the ...
... evident from the nature of notation . For any other disposition of the numbers would entirely alter their value ; and carrying one for every ten , from an inferior row or column to a superior , is evidently right , since an unit in the ...
Page 15
... being more convenient in practice . Now from the demonstration here given , the reason of the rule itselt is evident ; for the excess of nines in each of two or METHOD OF PROOF . 1. Draw a line between the SIMPLE ADDITION . 15.
... being more convenient in practice . Now from the demonstration here given , the reason of the rule itselt is evident ; for the excess of nines in each of two or METHOD OF PROOF . 1. Draw a line between the SIMPLE ADDITION . 15.
Page 19
... , Q. E. D. The truth of the method of proof is evident ; for the differ- ence of two numbers , added to the less , is manifestly equal to the greater . Multiplication and Division Table . 2 2 4 8 3 SIMPLE MULTIPLICATION . 19 Multiplication.
... , Q. E. D. The truth of the method of proof is evident ; for the differ- ence of two numbers , added to the less , is manifestly equal to the greater . Multiplication and Division Table . 2 2 4 8 3 SIMPLE MULTIPLICATION . 19 Multiplication.
Page 21
... evident , that we shall multiply all the parts of the multiplicand by all the parts of the multipli- er ; or the whole of the multiplicand by the whole of the multi- plier ; therefore the sum of these several products will be equal to ...
... evident , that we shall multiply all the parts of the multiplicand by all the parts of the multipli- er ; or the whole of the multiplicand by the whole of the multi- plier ; therefore the sum of these several products will be equal to ...
Page 27
... of the dividend 289 36 X 8 288 8 the 4th quotient . Last remainder 1 2378 sum of the quotients , or the answer . EXPLANATION . It is evident , that the dividend is resolved - in- ( 1 ) 5 ) 13545728 ( 2709145 10 EXAMPLES SIMPLE DIVISION .
... of the dividend 289 36 X 8 288 8 the 4th quotient . Last remainder 1 2378 sum of the quotients , or the answer . EXPLANATION . It is evident , that the dividend is resolved - in- ( 1 ) 5 ) 13545728 ( 2709145 10 EXAMPLES SIMPLE DIVISION .
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A System of Arithmetic: Reprinted From the Mathematical Text-Book (Classic ... Samuel Webber No preview available - 2016 |
A System of Arithmetic: Reprinted from the Mathematical Text-Book Samuel Webber No preview available - 2016 |
Common terms and phrases
2qrs 3qrs amount of 11 annuity annum answer required arithmetical Arithmetical Progression bushel called carats cent common difference compound fraction compound interest contained cube root cyphers debt decimal DEMONSTRATION discount Divide dividend division divisor equal equated equivalent evident EXAMPLES farthings fourth gallon Geometrical Progression geometrical series given number gold greater greatest common measure gross improper fraction inches integer last term least common multiple less number manner method of proof miles mixed number months multiplicand Multiply NOTE number of combinations number of places number of terms number of things payment pence pound present worth principal proportion quantities question quotient ratio Reduce remainder repetend Rule of Three shillings Signifies simple interest square root subtract supposition taken tare tion trett TROY WEIGHT vulgar fraction weight whole number yards year's interest
Popular passages
Page 66 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 159 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 199 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.
Page 141 - As the sum of the several products, Is to the whole gain or loss ; So is each man's particular product, To his particular share of the gain or loss.
Page 92 - Let the farthings in the given pence and farthings possess the second and third places ; observing to increase the second place or place of hundredths, by 5" if the shillings be odd; and the third place by 1 when the farthings exceed 12, and by 2 when they exceed 36.
Page 225 - ... is to the difference between the true and second supposed number ; when that is not the case, the exact answer to the question cannot be found by this rule.
Page 133 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.
Page 170 - To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply it by the number denoting the given power, for u divisor.
Page 170 - Bring doion the first figure of the next period to the remainder for a new dividend, to which find a new divisor, as before; and in like manner proceed till the whole is finished.
Page 112 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.