## 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

... because the whole art of arithmetick is comprehended in their various

operations . NUMERATION . 1. NUMERATION teaches us to read or

sum or num . ber , by means of the following ten characters , called figures of

Cipher . One .

... because the whole art of arithmetick is comprehended in their various

operations . NUMERATION . 1. NUMERATION teaches us to read or

**write**anysum or num . ber , by means of the following ten characters , called figures of

Cipher . One .

Page 10

its simple value , or the same as if standing alone -- four . The second , in the

place of tens , signifies four tens , or forty . The third figure , in the place of

hundreds ...

**Write**down the sum 4 4 4 4. The first figure at the rigbt , in the place of units , hasits simple value , or the same as if standing alone -- four . The second , in the

place of tens , signifies four tens , or forty . The third figure , in the place of

hundreds ...

Page 11

Let the scholar now read , or

numbers :8 437 709.040 3.476.194 17.184.397.647 17 3.010 879.096 84.094.

007 49.163.189.186 129 76.506 4.091.875 690.748.591 500.098,422.700

down , in ...

Let the scholar now read , or

**write**down in words at length , the followingnumbers :8 437 709.040 3.476.194 17.184.397.647 17 3.010 879.096 84.094.

007 49.163.189.186 129 76.506 4.091.875 690.748.591 500.098,422.700

**Write**down , in ...

Page 15

Here we begin by

under iens , & c . ... This exceeding ten , we

8 under 3 4 5 the column of units , and carry one 27 to the next column ; and say ,

1 ...

Here we begin by

**writing**. down the several numbers , units under units , tensunder iens , & c . ... This exceeding ten , we

**write**7.98 down the right hand figure8 under 3 4 5 the column of units , and carry one 27 to the next column ; and say ,

1 ...

Page 18

... which we

extremely easy to the learner . 2 . Miles . 58934 6182 3 . Feet . 879647 164343 4

. Cwt . 9187641 91843 5 . Dolls . 10000 9999 6 . 1000200340000 2189918304 7

.

... which we

**write**down , and the work is done . The method of proof will beextremely easy to the learner . 2 . Miles . 58934 6182 3 . Feet . 879647 164343 4

. Cwt . 9187641 91843 5 . Dolls . 10000 9999 6 . 1000200340000 2189918304 7

.

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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.