The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile Colleges: Combining the Analytic and Synthetic Methods ; and Forming a Complete Treatise on Arithmetical Science, and Its Commercial and Business Applications |
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Page 14
... principal axioms required in arithmetical investigations are the following : 1. If the same quantity or equal quantities be added to equal quantities , the sums will be equal . 2. If the same quantity or equal quantities be subtracted ...
... principal axioms required in arithmetical investigations are the following : 1. If the same quantity or equal quantities be added to equal quantities , the sums will be equal . 2. If the same quantity or equal quantities be subtracted ...
Page 24
... principal methods of proving Addition . 1st . By varying the combinations . Begin with the right hand or unit column , and add the figures in each column in an opposite direction from that in which they were first added ; if the two ...
... principal methods of proving Addition . 1st . By varying the combinations . Begin with the right hand or unit column , and add the figures in each column in an opposite direction from that in which they were first added ; if the two ...
Page 36
... as abstract , though the multiplicand may be either abstract or concrete . 84. PROOF . There are two principal methods of proving multiplication . 1st . By varying the partial products . Invert the 36 SIMPLE NUMBERS .
... as abstract , though the multiplicand may be either abstract or concrete . 84. PROOF . There are two principal methods of proving multiplication . 1st . By varying the partial products . Invert the 36 SIMPLE NUMBERS .
Page 49
... principal methods of proving division . 1st . By multiplication . Multiply the divisor and quotient together , and to the product add the remainder , if any ; if the result be equal to the dividend , the work is correct . ( 108 , I ...
... principal methods of proving division . 1st . By multiplication . Multiply the divisor and quotient together , and to the product add the remainder , if any ; if the result be equal to the dividend , the work is correct . ( 108 , I ...
Page 152
... $ 133 , what is the price of 1 ton ? 30. What is the value of 720 pounds of hay at $ 12.75 a ton , and 912 pounds of mill feed at $ 15 a ton ? Ans . $ 11.658 . LEDGER ACCOUNTS . 258. A Ledger is the principal book 152 DECIMALS .
... $ 133 , what is the price of 1 ton ? 30. What is the value of 720 pounds of hay at $ 12.75 a ton , and 912 pounds of mill feed at $ 15 a ton ? Ans . $ 11.658 . LEDGER ACCOUNTS . 258. A Ledger is the principal book 152 DECIMALS .
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Common terms and phrases
acres amount ANALYSIS annex Arithmetic barrels bought bushels ciphers column commission common fraction compound interest compound number contain continued fraction cost cube root cubic decimal places diameter discount Divide dividend divisible dollars equal exact divisors EXAMPLES FOR PRACTICE excess of 9's exchange feet following RULE gain gallons given number greatest common divisor Hence the following Hence the RULE hundred improper fraction inches invested least common denominator least common multiple less lowest terms measure miles minuend mixed number months multiplicand Multiply NOTE number of terms obtain odd number OPERATION payable payment pounds premium prime factors prime numbers principles Prob proceeds quantity quotient rate per cent ratio received Reduce remainder repetend result right hand figure rods sold square subtract subtrahend tens third thousand units whole number worth write yards
Popular passages
Page 193 - TABLE. 4 farthings (far. or qr.) make 1 penny d. 12 pence " 1 shilling, s. 20 shillings " 1 pound or sovereign . . £ or sov.
Page 312 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 78 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor...
Page 351 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 380 - The Square Root of a number is one of the two equal factors that produce the number ; thus the square root of 49 is 7, for 7 X 7 = 49.
Page 386 - The cube of a number composed of tens and units is equal to the cube of the tens, plus three times the square of the tens multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units.
Page 171 - Cubic Measure 1728 cubic inches (cu. in.) =1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...
Page 94 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.
Page 191 - TABLE. 10 mills, (m.) make 1 cent, ct. 10 cents " 1 dime, d. 10 dimes " 1 dollar, $. 10 dollars
Page 173 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...