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

### From inside the book

Page 5

... great advarro tage to many , who perhaps will not have an opportunity of

learning

methodl , the aiva ; tages and facility of we mifficiently npologize fr its not isoluç 2

systems .

... great advarro tage to many , who perhaps will not have an opportunity of

learning

**fractions**. In the arrangement of**fractions**, I have taken in ener newmethodl , the aiva ; tages and facility of we mifficiently npologize fr its not isoluç 2

systems .

Page 6

As decimal frictions may be learned much easier than vulgar , and are more

simple , useful , and necessary , and soonest wanted in more useful branches of

Arithmetic , they ought to be learned first , and Vulgar

further ...

As decimal frictions may be learned much easier than vulgar , and are more

simple , useful , and necessary , and soonest wanted in more useful branches of

Arithmetic , they ought to be learned first , and Vulgar

**Fractions**omitted , untilfurther ...

Page 7

... Ensurance , Equation of Payments , Evolution or Extraction of Roots ,

Exchange , Federal Money , Subtraction of , Fellowship , Coinpound ,

Vulgar and Decimal , Interest , Simple , by Decimals , - Compound , by Decimals ,

Inverse ...

... Ensurance , Equation of Payments , Evolution or Extraction of Roots ,

Exchange , Federal Money , Subtraction of , Fellowship , Coinpound ,

**Fractions**,Vulgar and Decimal , Interest , Simple , by Decimals , - Compound , by Decimals ,

Inverse ...

Page 37

Improved and Enlarged : Being a Plain and Practical System of Arithmetick

Adapted to the United States Nathan Daboll. i SUPPLEMENT TO

MULTIPLICATION . To multiply by a mixt number ; that is , a whole number jured

with a

Improved and Enlarged : Being a Plain and Practical System of Arithmetick

Adapted to the United States Nathan Daboll. i SUPPLEMENT TO

MULTIPLICATION . To multiply by a mixt number ; that is , a whole number jured

with a

**fraction**, as 81 ... Page 69

assignable part of a unit or whole number , and ( in general ) are of two kinds , viz

. VULGAR AND DECIMAL . A Vulgar

placed ...

**FRACTIONS**.**FRACTIONS**, or broken numbers , are expressions for anyassignable part of a unit or whole number , and ( in general ) are of two kinds , viz

. VULGAR AND DECIMAL . A Vulgar

**Fraction**, is represented by two numbersplaced ...

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### Common terms and phrases

acres added allowing amount annum answer Bought Bring bushels called cent ciphers cloth common compound containing continue cost cube currency decimal demand denominator difference dimes Divide dividend divisor dollars dols equal EXAMPLES farthings federal money feet figure fraction gain gallon give given given number given sum greater gross half hundred inches interest left hand less loss lowest MEASURE merchant miles millions mills mixed months Multiply neat nine paid payment pence period piece pound present principal proportion quantity question quotient ratio received Reduce remainder right hand rods root RULE sell share shillings simple sold solid square stand sterling subtract sugar TABLE tare term third thousand units weight whole numbers wine worth yards

### Popular passages

Page 162 - 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 162 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest, added as above...

Page 190 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer.

Page 154 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 185 - The first term, the last term (or the extremes) and the ratio given, to find the sum of the series RULE. Multiply the last term by the ratio, and from the product subtract the first term...

Page 124 - When the debtor keeps the annuity in his own hands beyond the time of payment, it is said to be in arrears. The sum of all the annuities for the time they have been foreborne, together with the interest due on each, is called the amount.

Page 177 - Alligation Alternate. ALLIGATION MEDIAL, Is when the quantities and prices of several things are given, to find the' mean price of the mixture compounded of those things.

Page 159 - The amount, principal, and rate per cent, given, to find the time. RULE. Subtract the principal from the amount; divide the remainder by the product of the ratio and principal; and the quotient -will be the time. EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 1235 dollars, 97,5 cents, at 6 per cent, per annum ? From the amount 81235,975 Take the principal 950,75 950,75x06=57,0450)285,2250(5 years, Ans.

Page 91 - 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.