## 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

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Page 15

When numbers consisting of many figures , are given to be read , it will be found

convenient to divide them into as many periods as we can , of six figures each ,

reckoning from the right

When numbers consisting of many figures , are given to be read , it will be found

convenient to divide them into as many periods as we can , of six figures each ,

reckoning from the right

**hand**towards the**left**, calling the first the period of units ... Page 16

9 8 7 6 5 4 3 4 8 -987 million 654 thousand 348 . To know the value of any

number of figures : Rule . - 1 . Numerate from the right to the

figuro i its proper place , by saying , units , lens , hundreds , dic . as in the Num

ration Table ...

9 8 7 6 5 4 3 4 8 -987 million 654 thousand 348 . To know the value of any

number of figures : Rule . - 1 . Numerate from the right to the

**left hand**, cachfiguro i its proper place , by saying , units , lens , hundreds , dic . as in the Num

ration Table ...

Page 17

Begin on the right hand , write units in the units place , vens in ihu tens place ,

hundreds in the hundreds place , and so on , kuwardu the

figure according to its proper value in numeration ; taking care to supply those ...

Begin on the right hand , write units in the units place , vens in ihu tens place ,

hundreds in the hundreds place , and so on , kuwardu the

**left hand**, writing eachfigure according to its proper value in numeration ; taking care to supply those ...

Page 21

It may be observed , that all the figures at the

dollars ; or you may call the first figure dollars , and the other cagles , tc . Thus

any sum of this money may be read differently , either wholly in the lowest

denomination ...

It may be observed , that all the figures at the

**left hand**of the separatrix uredollars ; or you may call the first figure dollars , and the other cagles , tc . Thus

any sum of this money may be read differently , either wholly in the lowest

denomination ...

Page 33

First , seek how many times the divisor is contained in as many of the

figures of the dividend as are just necessary ; ( thai is , find the greatest figure that

the divisor can be multiplied by , to as to produce a product that shall not exceed

...

First , seek how many times the divisor is contained in as many of the

**left hand**figures of the dividend as are just necessary ; ( thai is , find the greatest figure that

the divisor can be multiplied by , to as to produce a product that shall not exceed

...

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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.