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 47
... dividing any part of the dividend must be less than the divisor , it can be divided only by being expressed in units of a lower order . Hence , III . The operation must commence with the units of the high- est order . 1. Divide 2742 by ...
... dividing any part of the dividend must be less than the divisor , it can be divided only by being expressed in units of a lower order . Hence , III . The operation must commence with the units of the high- est order . 1. Divide 2742 by ...
Page 48
... divide in obtaining the successive figures of the quotient , are called partial dividends . 2. Divide 18149 by 56 . OPERATION . 56 ) 18149 ( 3245 Ans . 168 134 112 229 224 5 ANALYSIS . As neither 1 nor 18 will contain the divisor , we ...
... divide in obtaining the successive figures of the quotient , are called partial dividends . 2. Divide 18149 by 56 . OPERATION . 56 ) 18149 ( 3245 Ans . 168 134 112 229 224 5 ANALYSIS . As neither 1 nor 18 will contain the divisor , we ...
Page 49
... Divide 170352 by 36 . 4732 . 6. Divide 409887 by 47 . 8721 . 7. Divide 443520 by 84 . 5280 . 8. Divide 36380250 by 125 . 291042 . 9. Divide 1554768 by 216 . 10. Divide 3931476 by 556 . 11. Divide 48288058 by 3094 . 12. Divide 11214887 by ...
... Divide 170352 by 36 . 4732 . 6. Divide 409887 by 47 . 8721 . 7. Divide 443520 by 84 . 5280 . 8. Divide 36380250 by 125 . 291042 . 9. Divide 1554768 by 216 . 10. Divide 3931476 by 556 . 11. Divide 48288058 by 3094 . 12. Divide 11214887 by ...
Page 50
... Divide 261249 by 487 . OPERATION . 487 ) 261249 ( 536 177 313 217 Rem . ANALYSIS . Dividing the first partial dividend , 2612 , we obtain 5 for the first figure of the quotient . We now multi- ply 487 by 5 ; but instead of writing the ...
... Divide 261249 by 487 . OPERATION . 487 ) 261249 ( 536 177 313 217 Rem . ANALYSIS . Dividing the first partial dividend , 2612 , we obtain 5 for the first figure of the quotient . We now multi- ply 487 by 5 ; but instead of writing the ...
Page 51
... Divide 77112 by 204 . 2. Divide 65664 by 72 . 3. Divide 7913576 by 209 . 4. Divide 6636584 by 698 . 5. Divide 4024156 by 8903 . 6. Divide 760592 by 6791 . 7. Divide 101443929 by 25203 . 8. Divide 1246038849 by 269181 . 9. Divide 2318922 by ...
... Divide 77112 by 204 . 2. Divide 65664 by 72 . 3. Divide 7913576 by 209 . 4. Divide 6636584 by 698 . 5. Divide 4024156 by 8903 . 6. Divide 760592 by 6791 . 7. Divide 101443929 by 25203 . 8. Divide 1246038849 by 269181 . 9. Divide 2318922 by ...
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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...