A brief compendium of arithmetic1835 |
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Page 77
... cube . 3 × × or = 8 ΣΤ do . or cube of 3 . The small figures are indices which shew how often the number is written for multiplication . Examples . What is the cube or 3rd power of 54 ? A. 157464 . What is the 5th power of 12.6 ? A ...
... cube . 3 × × or = 8 ΣΤ do . or cube of 3 . The small figures are indices which shew how often the number is written for multiplication . Examples . What is the cube or 3rd power of 54 ? A. 157464 . What is the 5th power of 12.6 ? A ...
Page 78
... Cube 1 8 00 27 64 125 216 343 512 729 4th 1 16 81 256 625 1296 2401 4096 6561 5th 1 32 243 1024 3125 7776 16807 32768 59049 6th 1 64 729 4096 15625 46656 117649 262144 531441 7th 1 128 2187 16384 78125 279936 823543 2097152 4782969 8th ...
... Cube 1 8 00 27 64 125 216 343 512 729 4th 1 16 81 256 625 1296 2401 4096 6561 5th 1 32 243 1024 3125 7776 16807 32768 59049 6th 1 64 729 4096 15625 46656 117649 262144 531441 7th 1 128 2187 16384 78125 279936 823543 2097152 4782969 8th ...
Page 79
... cube root of 789 is 9 . TO EXTRACT THE SQUARE ROOT . RULE . - Put a dot over the units , and if the number consists of more than two figures , put a dot over the third from the units , and thus divide any whole number into periods by ...
... cube root of 789 is 9 . TO EXTRACT THE SQUARE ROOT . RULE . - Put a dot over the units , and if the number consists of more than two figures , put a dot over the third from the units , and thus divide any whole number into periods by ...
Page 80
... . 8.7649 , & c . TT TO EXTRACT THE CUBE ROOT . RULE . Put a point over the unit's place and over every third figure to the left ; but in decimals over every third to the right . Thus 61218-001210 . Then find 80 EVOLUTION .
... . 8.7649 , & c . TT TO EXTRACT THE CUBE ROOT . RULE . Put a point over the unit's place and over every third figure to the left ; but in decimals over every third to the right . Thus 61218-001210 . Then find 80 EVOLUTION .
Page 81
... cube number to the left hand period , and put its root for the first figure of the root sought . 2. - Subtract this cube from the first period , and to the remainder bring down the next period for a dividend . 3. - Find a divisor by ...
... cube number to the left hand period , and put its root for the first figure of the root sought . 2. - Subtract this cube from the first period , and to the remainder bring down the next period for a dividend . 3. - Find a divisor by ...
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Common terms and phrases
2qrs 3qrs 7lbs aliquot ALLIGATION Amount annuity annum APOTHECARIES WEIGHT ARITHMETIC AVOIRDUPOISE WEIGHT Banco BEER MEASURE Bought bushel casks cent ciphers CLOTH MEASURE common denominator compound fractions Compound Interest Copecs crowns decimals Divide dividend DIVISION divisor DRY MEASURE Ducat ells Examples exchange Facit farthings feet find the value gallons Geometrical Progression given number given sum greater grotes guineas hogsheads improper fraction inches integer last rule last term left hand less Marcs miles mille-reis mixed numbers months Mult Multiplicand Multiply Neat weight number of terms Oqrs pence penny piastre pound sterling Prob Problem Proof proper quantity quotient Reduce remainder rix-dollars rouble RULE 2.-When Rule of Three RULE.-Multiply share of gain shil shillings short methods square root subtract Tare Tret TROY WEIGHT Vulgar Fractions wheat whole numbers WINE MEASURE wwwm yards cost
Popular passages
Page 81 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 61 - To reduce fractions to a common denominator. RULE. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 61 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 61 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 86 - Ans. £b 2s. 3. If 100 eggs were placed in a right line, exactly a yard asunder from one another, and the first a yard from a basket, what length of ground does that man go who gathers up these 100 eggs singly, returning with every egg to the basket to put it in I Ans.
Page 51 - RULE. Multiply each payment by the time at which it is due, then divide the sum of the products by the sum of the payments, and the quotient will be the answer.
Page 86 - There is a cellar dug that is 12 feet every way, in length, breadth, and depth; how many solid feet of earth were taken out of it? Ans. 1728. 42. How many bricks 9 inches long and 4 inches wide, will pave a yard that is 20 feet square?
Page 84 - Hence, when we have given the first term, the ratio, and the number of terms, to find the last term, we have this RULE.
Page 81 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 30 - As the whole sum of the products is to the whole gain or loss, so is each man's particular product to his particular share of the loss or gain.* EXAMPLES.