## Pike's System of Arithmetick Abridged: Designed to Facilitate the Study of the Science of Numbers, Comprehending the Most Perspicuous and Accurate Rules, Illustrated by Useful Examples : to which are Added Appropriate Questions, for the Examination of Scholars, and a Short System of Book-keeping |

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Page 7

43 Notation , 12 Cloth Measure , 44 Numeration , 10 Decimals , 89 Pence and

Solid Measure , 49 Division , 28 Square do . 48 Dry Measure , 51 Taxes , for

making ...

43 Notation , 12 Cloth Measure , 44 Numeration , 10 Decimals , 89 Pence and

**shillings**, 41 Decimal parts of a year , 120 Powers . 169 Discount per cent . 149Solid Measure , 49 Division , 28 Square do . 48 Dry Measure , 51 Taxes , for

making ...

Page 20

... compendious manner ; brings numbers of great denominations into small , as

pounds into

one thing , we find the value of many . There are three parts in Multiplication , viz .

... compendious manner ; brings numbers of great denominations into small , as

pounds into

**shillings**, pence , or farthings , & c .; and , by knowing the value ofone thing , we find the value of many . There are three parts in Multiplication , viz .

Page 35

CASE I. To reduce Lawful Money , or the Currency of New - England , Virginia ,

Kentucky , and Tennessee , to Federal Money — the dollar being 6

Rule . — As the value of a dollar is equal to three tenths of a pound , when

pounds ...

CASE I. To reduce Lawful Money , or the Currency of New - England , Virginia ,

Kentucky , and Tennessee , to Federal Money — the dollar being 6

**shillings**.Rule . — As the value of a dollar is equal to three tenths of a pound , when

pounds ...

Page 36

3 ) 21419 4 is annexed to the pounds for half the

farthings 71393 cents . in 4 d . and excess of 12 . Ans . $ 71 39 cents . 2. Change

£ 721 8s . 11 d . to Federal Money . In this example , 4 is annexed to the pounds

for half ...

3 ) 21419 4 is annexed to the pounds for half the

**shillings**, and 19 for thefarthings 71393 cents . in 4 d . and excess of 12 . Ans . $ 71 39 cents . 2. Change

£ 721 8s . 11 d . to Federal Money . In this example , 4 is annexed to the pounds

for half ...

Page 38

To change Canada and Nova Scotia Currency to Federal Moneythe dollar being

5

multiply the sum , when in pounds , by 4 , for dollars . When there are

To change Canada and Nova Scotia Currency to Federal Moneythe dollar being

5

**shillings**. RULE . - As the value of a dollar is equal to one - fourth of a pound ,multiply the sum , when in pounds , by 4 , for dollars . When there are

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### Common terms and phrases

added addition aliquot allowance amount annexed answer blocks bought called carats cent Change ciphers column common compound contained contents cost cube decimal denomination diameter difference directed divide dividend division divisor dollars equal evident EXAMPLES farthings Federal Money feet figure five foot fourth fraction gain gallons give given number greater greatest half hundred inches interest least left hand length less loss lowest mean measure method millions mills mixed months multiply Note operation payment pence perform period person pounds principal proceed Proof proportion quantity question quotient reason reduce remainder right hand root rule share shillings side simple square square root subtract supposed Table tens term thing third thousand units weight whole number wood worth write yards

### Popular passages

Page 31 - Cut off- as many figures from the right hand of the dividend as there are ciphers in the divisor. The remaining figures of the dividend will be the quotient, and those cut off the remainder.

Page 183 - As I was going to St. Ives, I met a man with seven wives, Every wife had seven sacks, Every sack had seven cats, Every cat had seven kits — Kits, cats, sacks, and wives, How many were going to St. Ives?

Page 73 - 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 160 - OF THE CUBE ROOT. A cube is any number multiplied by its square. To extract the cube root, is to find a number, which, being multiplied into its square, shall produce the given number. RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure, and eyery third figure from the place of units to the left, and if there be decimals, to the right.

Page 167 - ... 7. Bring down 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 be finished.

Page 154 - DISTINGUISH the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points shew the number of figures the root will consist of. 2. " FIND the greatest square number in the first, or left hand period...

Page 76 - Multiply each numerator into all the denominators except its own, for a new numerator : and all the denominators into each other continually for a common denominator; this written under the several new numerators will give the fractions required.

Page 183 - Goose, and a peck of corn, in his journey, came to a river, where it so happened that he could carry but one over at a time. Now as no two were to be left together that might destroy each other ; so he was at his wit's end how to dispose of them ; for, says he, tho' the corn can't eat the goose, nor the goose eat the fox ; yet the fox can eat the goose, and the goose eat the corn.

Page 160 - Subtract the cube thus found, from the said period, and to the remainder bring down the next period, and call this the dividend.

Page 93 - ... if the shillings be odd ; and the third place by 1 "when the farthings exceed 12, and by 2 when they exceed 36.