## A System of Arithmetic |

### From inside the book

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Page 10

Read the following

has no single character; and thus by continual addition of one, all

generated. 2. ... The names of the

order.

Read the following

**numbers**. ... 8 and 1 are 9 nine ; and 9 and 1 are ten, whichhas no single character; and thus by continual addition of one, all

**numbers**aregenerated. 2. ... The names of the

**places**are denominated according to theirorder.

Page 15

This method depends on a property of the

digit whatever, except 3, namely, that any ... a, b, c, &c. the digits, of which it is

composed, and n= as many cyphers as a, the highest digit, is

This method depends on a property of the

**number**9, which belongs to no otherdigit whatever, except 3, namely, that any ... a, b, c, &c. the digits, of which it is

composed, and n= as many cyphers as a, the highest digit, is

**places**from unity. Page 16

Draw a line between the first and second lines of figures to cut off the first

. 2. Add all the other

. 3. Add the ... appear to be right. For if we change the

Draw a line between the first and second lines of figures to cut off the first

**number**. 2. Add all the other

**numbers**, and set their sum under the sum of all the**numbers**. 3. Add the ... appear to be right. For if we change the

**places**of any two ... Page 17

Simple Subtraction teaches to take a less

denomination, and thereby shows the ...

correspondent figures in the greater, the differences of the figures in the several

like

Simple Subtraction teaches to take a less

**number**from a greater of the samedenomination, and thereby shows the ...

**number**are less than theircorrespondent figures in the greater, the differences of the figures in the several

like

**places**must, ... Page 20

... the left, and the dividend in the same line; then the quotient will be, over the

dividend, the first

less than ten, and the excesses above tens respectively in the

figures 2.

... the left, and the dividend in the same line; then the quotient will be, over the

dividend, the first

**number**of the column. ... writing down the products, that areless than ten, and the excesses above tens respectively in the

**places**of thefigures 2.

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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.