## 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 9

These five rules are called principal or fundamental , because the whole art of

arithmetick is comprehended in their various

NUMERATION teaches us to read or write any sum or num . ber , by means of the

...

These five rules are called principal or fundamental , because the whole art of

arithmetick is comprehended in their various

**operations**. NUMERATION . 1.NUMERATION teaches us to read or write any sum or num . ber , by means of the

...

Page 16

Thus , because 8 and 6 are 14 , 48 and 6 are 54. It will be down under the sums

of each column , in a small hand , the figure that is carried to the next column .

This prevents the trouble of ease . proper to mark going over the whole

...

Thus , because 8 and 6 are 14 , 48 and 6 are 54. It will be down under the sums

of each column , in a small hand , the figure that is carried to the next column .

This prevents the trouble of ease . proper to mark going over the whole

**operation**...

Page 17

going over the whole

want to keep the account clean , mark down the sum and figure you carry on a

separate paper , and after revising them , transcribe the sum only . After some ...

going over the whole

**operation**again , in case of interruption or mistake . If youwant to keep the account clean , mark down the sum and figure you carry on a

separate paper , and after revising them , transcribe the sum only . After some ...

Page 18

From 3724 Minuend The

plain . The two sums being written down according to the rule , we draw a line

1141 Remainder underneath , and begin at the right hand figure , say — 3 from 4

...

From 3724 Minuend The

**operation**of this example is Take 2583 Subtrahend veryplain . The two sums being written down according to the rule , we draw a line

1141 Remainder underneath , and begin at the right hand figure , say — 3 from 4

...

Page 20

The result of the

are likewise called both together factors , or that by which the

performed . SIMPLE MULTIPLICATION Is the multiplying of any two numbers

together ...

The result of the

**operation**is called the Product . The Multiplicand and Multiplierare likewise called both together factors , or that by which the

**operation**isperformed . SIMPLE MULTIPLICATION Is the multiplying of any two numbers

together ...

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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.