## Daboll's Schoolmaster's Assistant: Improved and Enlarged. Being a Plain Practical System of Arithmetic: Adapted to the United States |

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Page 74

The figure above the line , is called the numerator , and hat below it , the

many parts the integer is divided into ; and the numerator ( which is the

remainder after ...

The figure above the line , is called the numerator , and hat below it , the

**denominator**, S5 The**denominator**( which is the divisor in division ) shews howmany parts the integer is divided into ; and the numerator ( which is the

remainder after ...

Page 75

Multiply the numerator by the common parts of the integer , and divide by the

. 2 20 shillings in a pound . 91 Denom . 3 ) 40 ( 135 , 4d . Ans . 3 10 9 1 12 5 )

1264 ...

Multiply the numerator by the common parts of the integer , and divide by the

**denominator**, & c . EXAMPLES . What is the value of of a pound sterling ? Numer. 2 20 shillings in a pound . 91 Denom . 3 ) 40 ( 135 , 4d . Ans . 3 10 9 1 12 5 )

1264 ...

Page 76

... same term , for a

138. 6d . 2qrs . to the fraction of a pound , 20 Integral part 13 6 2 given sum . 12

12 EXAMPLES . 240 4 162 4 Ans . 1 960

... same term , for a

**denominator**; which will be the fraction required . 1. Reduce138. 6d . 2qrs . to the fraction of a pound , 20 Integral part 13 6 2 given sum . 12

12 EXAMPLES . 240 4 162 4 Ans . 1 960

**Denominator**. 650 Num . Ans . H = 66 . Page 77

A Decimal Fraction is that whose

cyphers annexed to it , Thus , jos TOT Tobo , & c . & c . The integer is always

divided either into 10 , 100 , 1000 , & c . equal parts ; consequently the

A Decimal Fraction is that whose

**denominator**is an unit , with a cypher , orcyphers annexed to it , Thus , jos TOT Tobo , & c . & c . The integer is always

divided either into 10 , 100 , 1000 , & c . equal parts ; consequently the

**denominator**of the ... Page 83

Annex cyphers to the numerator , and divide by the

quotient will be the decimal required . Note . So many cyphers as you annex to

the given numerator , so many places must be pointed in the quotient ; and if

there be not ...

Annex cyphers to the numerator , and divide by the

**denominator**; and thequotient will be the decimal required . Note . So many cyphers as you annex to

the given numerator , so many places must be pointed in the quotient ; and if

there be not ...

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### Common terms and phrases

acres added allowing amount annuity annum answer Bought Bring bushels called cent cloth common contain continue cost cube currency cyphers decimal Deduct demand denominator difference Divide dividend divisor dollars dols English equal EXAMPLES farthings federal money feet figure Find the value fraction gain gallon give given given number given sum gross half hundred inches interest least left hand length less loss measure merchants method miles mills mixed months Multiply New-York paid payment pence period piece pound present worth principal proportion quantity question quotient ratio received Reduce remainder right hand RULE sell share shillings simple sold solid sort square root sterling subtract sugar Table tare term third thousand unit whole whole number wine yards

### Popular passages

Page 174 - 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 after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.

Page 190 - IS the method of finding what quantity of each of the ingredients whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation Medial, and may be proved by it. CASE I. When the mean rate of the whole mixture, and the rates of all the ingredients are given, without any limited quau

Page 40 - RULE.* 1. Place the numbers so that those of the same denomination may stand directly under each other. 2. Add the first column or denomination together, as in whole numbers; then divide the sum by as many of the same denomination as make one of the next greater...

Page 184 - 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 180 - ... it at the right hand of the given number, (after the manner of a quotient in division) for the first figure of the root, and the square number under the period, and subtract it therefrom, and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor.

Page 220 - To measure a parallelogram or long square. RULE.— Multiply the length by the breadth, and the product will be the area, or superficial content, in the same name as that in which the dimension was taken, whether inches, feet, or rods, etc.

Page 180 - ... subtract it therefrom, and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 211 - A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds : she scuds away at the rate of...

Page 228 - In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier, and set the result of each term one place removed to the right hand of those in the multiplicand.

Page 238 - Obligation to be void, otherwise to remain in full force and virtue.