Treatise on Arithmetic, Practical and Theoretical |
From inside the book
Results 1-5 of 31
Page 48
... annexed to the right of 30 makes the 3 signify 3 hundreds instead of 3 tens , and also adds 9 , making the number 3 ... annexing two ciphers ; but to this number will be also added 99 . ( 68. ) A significant digit added to the left of a ...
... annexed to the right of 30 makes the 3 signify 3 hundreds instead of 3 tens , and also adds 9 , making the number 3 ... annexing two ciphers ; but to this number will be also added 99 . ( 68. ) A significant digit added to the left of a ...
Page 93
... annexing noughts to it . ( 138. ) If the multiplier be not a prime number ( 120. ) , it will always be itself the product of two other num- bers . In such a case the multiplication may be per- formed by using these two numbers ...
... annexing noughts to it . ( 138. ) If the multiplier be not a prime number ( 120. ) , it will always be itself the product of two other num- bers . In such a case the multiplication may be per- formed by using these two numbers ...
Page 99
... annexed to the product . Thus , in the example just given , we should multiply 23 by 5 , and should obtain the product 115. Having done this , to get the final product we have only to annex three noughts . When the multiplicand is a ...
... annexed to the product . Thus , in the example just given , we should multiply 23 by 5 , and should obtain the product 115. Having done this , to get the final product we have only to annex three noughts . When the multiplicand is a ...
Page 100
... annexing two 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 ...
... annexing two 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 ...
Page 103
... annexing a nought to the product , or , in other words , to multiplying the multiplicand by 70. In the same manner , by ... annexed to the partial pro- ducts B and C , provided that the other figures of B and C are allowed to retain the ...
... annexing a nought to the product , or , in other words , to multiplying the multiplicand by 70. In the same manner , by ... annexed to the partial pro- ducts B and C , provided that the other figures of B and C are allowed to retain the ...
Other editions - View all
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...