The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods : Forming a Complete Course of Higher ArithmeticRobert S. Davis & Company, 1863 - 444 σελίδες |
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Σελίδα 372
... cube root of 27 , or the cube root of the square of 27 , is denoted by 273 . 520. All the rational roots of whole numbers are also whole numbers , since every power of a fractional number is also a fractional number . 521 . Prime ...
... cube root of 27 , or the cube root of the square of 27 , is denoted by 273 . 520. All the rational roots of whole numbers are also whole numbers , since every power of a fractional number is also a fractional number . 521 . Prime ...
Σελίδα 378
... CUBE ROOT . 527. The extraction of the cube root of a number is the process of finding one of its three equal factors ; or , of finding a factor which , being multiplied into itself twice , will produce the given number . 528. The ...
... CUBE ROOT . 527. The extraction of the cube root of a number is the process of finding one of its three equal factors ; or , of finding a factor which , being multiplied into itself twice , will produce the given number . 528. The ...
Σελίδα 379
... cube root . Since the cube of a + b is a3 + 3 a2 b + 3 a b2 + b3 , the cube root of a3 + 3 a2 b + 3 a b2 + b3 must be a + b . Now a , the first term of the cube root , is the cube root of a3 , the first term of the cube ; and if a3 be ...
... cube root . Since the cube of a + b is a3 + 3 a2 b + 3 a b2 + b3 , the cube root of a3 + 3 a2 b + 3 a b2 + b3 must be a + b . Now a , the first term of the cube root , is the cube root of a3 , the first term of the cube ; and if a3 be ...
Σελίδα 380
... cube root of 46656 ? OPERATION . Ans . 36 . Beginning at arate the given number into pe- 46656 36 the right , we sep ... cube of tens , plus three times the square of the tens into the units , plus three times the tens into the square of ...
... cube root of 46656 ? OPERATION . Ans . 36 . Beginning at arate the given number into pe- 46656 36 the right , we sep ... cube of tens , plus three times the square of the tens into the units , plus three times the tens into the square of ...
Σελίδα 381
... cube root of 12326391 ? FIRST OPERATION . 23 - - 32 - 1200 180 9 Trial divisor , 3 X 202 3 X 20 × 3 True divisor ... cube of tens cannot give less than thousands , we must find that cube in the two left - hand periods ; and as we have ...
... cube root of 12326391 ? FIRST OPERATION . 23 - - 32 - 1200 180 9 Trial divisor , 3 X 202 3 X 20 × 3 True divisor ... cube of tens cannot give less than thousands , we must find that cube in the two left - hand periods ; and as we have ...
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12 per cent acres amount annexed annuity Arithmetic avoirdupois barrels becomes due bill bought bushels carats cask ciphers circumference column common denominator common fraction composite number compound interest compound numbers contain continued fraction cost cube root diameter difference discount dividend division dollars duodecimal equal exactly divide EXAMPLES expressed decimally feet long figures gain gallons given number grains greatest common divisor Hence hogshead hundred improper fraction inches last term least common multiple longitude lowest terms measure meters miles minuend mixed number months multiplicand Multiply NOTE number denoting number of days number of terms obtain paid payable payment pounds premium present worth prime factors prime number principal quantity quotient rate per cent ratio received Reduce remainder repetend rods RULE SECOND OPERATION shillings side simple numbers sold square root subtract subtrahend tens third thousand tons weight whole number write yards