The principles of arithmetic |
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Σελίδα 141
... common measure , of the given numbers . General demonstration . - Let w , x , y , and z be four numbers , and let ... multiple of those measures . We say that 24 is a " common " multiple of multiple of 4 and 6 ; that 36 is a 66 common " ...
... common measure , of the given numbers . General demonstration . - Let w , x , y , and z be four numbers , and let ... multiple of those measures . We say that 24 is a " common " multiple of multiple of 4 and 6 ; that 36 is a 66 common " ...
Σελίδα 142
... LEAST common multiple is 24 . Multiples of 12 . 12 2 M +6789 96 108 132 & c . 24 48 · Common multiples- of 12 and 8 . 96 120 16 88 144 144 & c . 104 *** 120 128 136 multiple 24 . 144 ) & o , LEAST Common Multiples of 8 . 1101. To find ...
... LEAST common multiple is 24 . Multiples of 12 . 12 2 M +6789 96 108 132 & c . 24 48 · Common multiples- of 12 and 8 . 96 120 16 88 144 144 & c . 104 *** 120 128 136 multiple 24 . 144 ) & o , LEAST Common Multiples of 8 . 1101. To find ...
Σελίδα 143
... common multiple of two numbers is a multiple of the least common multiple . x } Dm [ 4 lq T Thus , the least common multiple of 12 and 8 is 24 , and every other common multiple ( 48 , 72 , 96 , 120 , 144 , & c . ) is a multiple of 24 ...
... common multiple of two numbers is a multiple of the least common multiple . x } Dm [ 4 lq T Thus , the least common multiple of 12 and 8 is 24 , and every other common multiple ( 48 , 72 , 96 , 120 , 144 , & c . ) is a multiple of 24 ...
Σελίδα 144
... multiple of 20. But as is not equivalent to a whole which is the product of 12 by is not a multiple of 12 . Let us now try 2 for divisor , and we shall find that 12 X 20 is a common ... least common multiple of 12 and 20 when we divide 12 × ...
... multiple of 20. But as is not equivalent to a whole which is the product of 12 by is not a multiple of 12 . Let us now try 2 for divisor , and we shall find that 12 X 20 is a common ... least common multiple of 12 and 20 when we divide 12 × ...
Σελίδα 145
... multiple of x . Again : as m is a y a measure of y , У " m measure of X , m xy ac M XC is equivalent to a whole number ; and ух or is a multiple of y . So that m m ' mon multiple of ... least common multiple of 8 MEASURES AND MULTIPLES . 145.
... multiple of x . Again : as m is a y a measure of y , У " m measure of X , m xy ac M XC is equivalent to a whole number ; and ух or is a multiple of y . So that m m ' mon multiple of ... least common multiple of 8 MEASURES AND MULTIPLES . 145.
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres addends amount annuity arithmetical arithmetical mean arithmetical progression Avoirdupois cent ciphers circulating decimal column common difference common ratio compound convert cost-price cube root cwts decimal point denominator digit divide division divisor dwts equal equivalent exact number EXAMPLE exceeds expressed falling due farthings figure fourth term fractional unit gallon geometrical geometrical progression given number grains greatest common measure hundred hundredths inches instalments interest Irish larger number least common multiple left-hand less logarithm mantissa means MILLIONTHS minuend multiplicand multiply NOTE number of terms obtain occupied ounce partial dividend pence perches period pounds present value prime factors principal proportion quotient quotient-figure reduced remainder represented resulting quotient right-hand root-figure selling-price Senary shillings simple numbers square root square yards subtracting subtrahend tens tenths thousandths tion trial-divisor Troy pound vulgar fraction whilst whole number write ΙΟ
Δημοφιλή αποσπάσματα
Σελίδα 73 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Σελίδα 81 - Square Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq.
Σελίδα 240 - Multiply the principal by the rate per cent and divide the product by 100 ; the quotient will be the interest for one year.
Σελίδα 314 - Seek the greatest cube in the first period, and set its root on the right after the manner of a quotient in division. Subtract the cube of this figure from the first period, and to the remainder bring down the first figure of the next period, and call the number the dividend.
Σελίδα 80 - Span: 9 inches or 22.86 cm. Derived from the distance between the end of the thumb and the end of the little finger when both are outstretched.
Σελίδα 87 - Troy Weight. 24 grains (gr.) — 1 pennyweight (dwt). 20 pennyweights — 1 ounce (oz.) 12 ounces — 1 pound (Ib.).
Σελίδα 207 - ... term. Divide the product of the second and third terms by the first term, and the quotient will be the answer required.
Σελίδα 161 - Multiply the integral part of the mixed number by the denominator of the fractional part ; to the product add the numerator of the fractional part ; the sum will be the numerator of the improper fraction ; under which place the denominator of the fractional part. This rule is obviously correct, since it is the reverse of the rule, (ART.
Σελίδα 330 - Multiply the sum of the extremes by half the number of terms, and the product is the sum required.
Σελίδα 133 - The greater by the less divide, The less, by what remains beside; The last divisor still again, By what remains, till nought remains; And what divides and leaveth nought, Will be the. common measure sought.