Treatise on Arithmetic, Practical and Theoretical |
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Page 47
... ( 66. ) In general , the addition of three ciphers will multiply a number by 1000 , the addition of four by 10,000 , and so on . On the other hand , ciphers pre- fixed to a number , or placed to the left CHAP . II . 47 USES OF CIPHER .
... ( 66. ) In general , the addition of three ciphers will multiply a number by 1000 , the addition of four by 10,000 , and so on . On the other hand , ciphers pre- fixed to a number , or placed to the left CHAP . II . 47 USES OF CIPHER .
Page 48
... cipher would , and for the same reason ; but , besides this , the value of the significant digit is added to the ... ciphers ; but to this number will be also added 99 . ( 68. ) A significant digit added to the left of a number makes ...
... cipher would , and for the same reason ; but , besides this , the value of the significant digit is added to the ... ciphers ; but to this number will be also added 99 . ( 68. ) A significant digit added to the left of a number makes ...
Page 99
... ciphers , the product will also terminate in ciphers , be- cause , if the multiplicand be obtained by the direct method of addition , the columns of ciphers when added will give a cipher for the same place in the product . If we would ...
... ciphers , the product will also terminate in ciphers , be- cause , if the multiplicand be obtained by the direct method of addition , the columns of ciphers when added will give a cipher for the same place in the product . If we would ...
Page 100
... ciphers to it ( 65. ) , the multiplication by 600 is performed by multiplying by 6 , and annexing two ciphers to the product . The operation , in the pro- posed example , is as follows : 23789 600 14273400 If the multiplier be 6000 , it ...
... ciphers to it ( 65. ) , the multiplication by 600 is performed by multiplying by 6 , and annexing two ciphers to the product . The operation , in the pro- posed example , is as follows : 23789 600 14273400 If the multiplier be 6000 , it ...
Page 103
... ciphers which occur in the oper- ation , as written above , have no other effect than those just mentioned , will be quite apparent if it be considered that no effect will be produced upon the total product P , by expunging the ciphers ...
... ciphers which occur in the oper- ation , as written above , have no other effect than those just mentioned , will be quite apparent if it be considered that no effect will be produced upon the total product P , by expunging the ciphers ...
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Treatise on Arithmetic: Practical and Theoretical (1834) Dionysius Lardner No preview available - 2009 |
Common terms and phrases
added addition Agents Effects amount annexed arithmetic ciphers classes of units column complex numbers COMPUTATION converted cubic decimal places decimetre deno denominator DIONYSIUS LARDNER dividend dividing the product divisor divisor and dividend equal equivalent decimal equivalent fractions equivalent number evident example express the number farthings feet figure formed fourth furlongs gallons hundreds improper fraction inches length less Let us suppose manner merator method minator minuend mixed number mowers multi multiple of 9 multiplicand multiply the quotient multiplying the multiplicand necessary nine nomenclature notation number expressing number of days number of shillings obtain the product operation order of units partial product pence perches performed pounds process of division product corresponding proportion quantity question quinary radix ratio reduced remainder resolved result simple numbers single counter subtract subtrahend tens tenth third thousands tiple tiply troy weight vigesimal vulgar fraction weight whole number write yards year's principal
Popular passages
Page 294 - In any proportion, the product of the means is equal to the product of the extremes.
Page 186 - ... the denominator of the dividend by the numerator of the divisor, and the numerator of the dividend by the denominator of the divisor.
Page 29 - L, fifty; C, one hundred; D, five hundred ; M, one thousand.
Page 223 - Gallon., containing Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at...
Page 149 - ... that is, the fraction takes its name or denomination from the number of parts, into which the unit is divided. Thus, if the unit be divided into 16 parts, the parts are called sixteenths, and 5 of these parts would be 5 sixteenths, expressed thus, -f%.
Page 148 - J, \i ; that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, and that one of these parts is taken as many times as there are units in the numerator.
Page 167 - To convert a mixed number into an improper fraction —Multiply the integral part by the denominator of the fractional part, and to the product add the numerator of the fractional part.
Page 49 - The character 0 is called a cipher, from the Arabic word tsphara, which signifies a blank or void. The uses of this character in numeration are so important, that its name cipher, has been extended to the whole art of Arithmetic, which has been called to cipher, meaning to work withfigitirtts.
Page 42 - Instead of perpendicular lines or bars, the board had its surface divided by sets of parallel grooves, by stretched wires, or even by successive rows of holes. It was easy to move small counters in the grooves, to slide perforated beads along the wires, or to stick large knobs or round-headed nails in the different holes. To diminish the number of marks required, every column was surmounted by a shorter one, wherein each counter had the same value as five of the ordinary kind, being half the index...