## A System of Arithmetic |

### From inside the book

Results 1-5 of 73

Page 14

Simple Addition teaches to collect several

into one

another very ingenious one of proving addition by casting out the nines. - RULE.

Simple Addition teaches to collect several

**numbers**of the same denominationinto one

**number**, called the sum. RULE. ... Beside the method here**given**, there isanother very ingenious one of proving addition by casting out the nines. - RULE.

Page 15

This method depends on a property of the

digit whatever, except 3, namely, that any ... property may be shown to belong to

the

account ...

This method depends on a property of the

**number**9, which belongs to no otherdigit whatever, except 3, namely, that any ... property may be shown to belong to

the

**number**three ; but the preference is usually**given**to the**number**9, onaccount ...

Page 16

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

. ... This rule was first

, and is a very simple, easy method; though it is liable to this inconvenience, that

...

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

**number**. ... This rule was first

**given**by Dr. WALL1s in his Arithmetic, published A. D. 1657, and is a very simple, easy method; though it is liable to this inconvenience, that

...

Page 18

Add the remainder to the less number, and if the sum be equal to the greater, the

work is right. ... parts is equal to the whole, so must the sum of the differences of

all the similar parts be equal to the difference of the wholes, or

Add the remainder to the less number, and if the sum be equal to the greater, the

work is right. ... parts is equal to the whole, so must the sum of the differences of

all the similar parts be equal to the difference of the wholes, or

**given numbers**. 2. Page 19

Simple Multiplication is a compendious method of addition, and teaches to find

the amount of any

proposed number of times. The number, to be multiplied, is called the

multiplicand.

Simple Multiplication is a compendious method of addition, and teaches to find

the amount of any

**given number**of one denomination, by repeating it anyproposed number of times. The number, to be multiplied, is called the

multiplicand.

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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.