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 12
... NOTE . When Arithmetic treats of operations on abstract numbers it is a sci- ence , and is then called Pure Arithmetic . When it treats of operations on con- crete numbers it is an art , and is then called Applied Arithmetic . Pure and ...
... NOTE . When Arithmetic treats of operations on abstract numbers it is a sci- ence , and is then called Pure Arithmetic . When it treats of operations on con- crete numbers it is an art , and is then called Applied Arithmetic . Pure and ...
Page 20
... NOTE . - Omit and in reading the orders of units and periods of a number . EXAMPLES FOR PRACTICE . Write and read the following numbers : - 1. One unit of the 3d order , two of the 2d , five of the 1st . Ans . 125 ; read , one hundred ...
... NOTE . - Omit and in reading the orders of units and periods of a number . EXAMPLES FOR PRACTICE . Write and read the following numbers : - 1. One unit of the 3d order , two of the 2d , five of the 1st . Ans . 125 ; read , one hundred ...
Page 25
... NOTE . This method of proving addition by the excess of 9's , fails in the fol- lowing cases : 1st , when the figures of the answer are misplaced ; 2d , when the value of one figure is as much too great as that of another is too small ...
... NOTE . This method of proving addition by the excess of 9's , fails in the fol- lowing cases : 1st , when the figures of the answer are misplaced ; 2d , when the value of one figure is as much too great as that of another is too small ...
Page 36
... NOTES . - 1 . When the multiplier contains two or more figures , the several re- sults obtained by multiplying by each ... NOTE . The multiplier denotes simply the number of times the multiplicand is to be taken ; hence , in the analysis ...
... NOTES . - 1 . When the multiplier contains two or more figures , the several re- sults obtained by multiplying by each ... NOTE . The multiplier denotes simply the number of times the multiplicand is to be taken ; hence , in the analysis ...
Page 37
... NOTE . If the excess of 9's in either factor is 0 , the excess of 9's in the pro- duct will be 0 , ( II ) . EXAMPLES FOR PRACTICE . ( 1. ) ( 2. ) Multiply 475 By 9 3172 14 Prod . 4275 44408 ( 3. ) 9827 ( 4. ) 7198 84 825468 216 1554768 ...
... NOTE . If the excess of 9's in either factor is 0 , the excess of 9's in the pro- duct will be 0 , ( II ) . EXAMPLES FOR PRACTICE . ( 1. ) ( 2. ) Multiply 475 By 9 3172 14 Prod . 4275 44408 ( 3. ) 9827 ( 4. ) 7198 84 825468 216 1554768 ...
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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...