## A System of Arithmetic |

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Page 44

many as make one of the next following; and so on through all the denominations

to the highest; and this last quotient, together with the several remainders, will be

the

many as make one of the next following; and so on through all the denominations

to the highest; and this last quotient, together with the several remainders, will be

the

**answer required**. s The method of proof is by reversing the question. Page 51

... the several excesses, taken as one number, will be the whole amount

The method of proof is the same as in Simple Multiplication. - EXAMPLES OF

MONEY. 1. 91b. of tobacco, at 2s. 8; d. per lb. 2s. 8; d. 9 - 11. 4s. 4}, the

... the several excesses, taken as one number, will be the whole amount

**required**.The method of proof is the same as in Simple Multiplication. - EXAMPLES OF

MONEY. 1. 91b. of tobacco, at 2s. 8; d. per lb. 2s. 8; d. 9 - 11. 4s. 4}, the

**answer**. Page 62

Required the greatest common measure of 918, 1998, and 522. 918) 1998(2 So

54 is the greatest common measure 1836 of 1998 ... 108 * / Therefore 18 is the

Required the greatest common measure of 918, 1998, and 522. 918) 1998(2 So

54 is the greatest common measure 1836 of 1998 ... 108 * / Therefore 18 is the

**answer required**. * * * 2. What is the greatest common measure of 612 and 540: ... Page 65

... that there is no number greater than 1, which will divide them, and the fraction

will be in its lowest terms. - Or, - Divide both the terms of the fraction by their

greatest common measure, and the quotients will be the terms of the fraction

... that there is no number greater than 1, which will divide them, and the fraction

will be in its lowest terms. - Or, - Divide both the terms of the fraction by their

greatest common measure, and the quotients will be the terms of the fraction

**required**. Page 66

... and add the numerator to the product, then that sum written above the

denominator will form the fraction

the quotient must be the same as the quantity first given, Or *Zooto-24s the

... and add the numerator to the product, then that sum written above the

denominator will form the fraction

**required**. ... by the same number, it is evidentthe quotient must be the same as the quantity first given, Or *Zooto-24s the

**answer**. . 2.### What people are saying - Write a review

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### Other editions - View all

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

amount of 11 annuity annum answer required arithmetical bushel called carats cent common difference compound fraction compound interest contained cube root cyphers debt decametre decimal denominator discount Divide dividend division divisor equal equated equivalent evident EXAMPLES farthings fºr fourth gallon geometrical 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 number of combinations number of places number of terms number of things º º payment polyd pound present worth proportion quantities 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

### 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.