The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile Colleges. Forming a Complete Treatise on Arithmetical Science, and Its Commercial and Business ApplicationsIvison, Blakeman, Taylor & Company, 1875 - 446 pages |
From inside the book
Results 1-5 of 85
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 ...
... 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 ...
Page 41
... NOTE . The pupil must not confound the factors with the parts of a number . Thus , the factors of which 12 is composed , are 4 and 3 ( 4 × 3 = 12 ) ; while the parts of which 12 is composed are 8 and 4 ( 8 + 4 = 12 ) ; or 10 and 2 ( 10 ...
... NOTE . The pupil must not confound the factors with the parts of a number . Thus , the factors of which 12 is composed , are 4 and 3 ( 4 × 3 = 12 ) ; while the parts of which 12 is composed are 8 and 4 ( 8 + 4 = 12 ) ; or 10 and 2 ( 10 ...
Page 42
... NOTE . The factors may be used in any order that is most convenient , ( 95 , II ) . EXAMPLES FOR PRACTICE . 1. Multiply 736 by 24 . 2. Multiply 538 by 56 . 3. Multiply 27865 by 84 . 4. Multiply 7856 by 144 . Ans . 17664 . Ans . 30128 ...
... NOTE . The factors may be used in any order that is most convenient , ( 95 , II ) . EXAMPLES FOR PRACTICE . 1. Multiply 736 by 24 . 2. Multiply 538 by 56 . 3. Multiply 27865 by 84 . 4. Multiply 7856 by 144 . Ans . 17664 . Ans . 30128 ...
Page 48
... NOTE 1. - The different numbers which 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 ...
... NOTE 1. - The different numbers which 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 ...
Contents
12 | |
13 | |
23 | |
54 | |
55 | |
62 | |
65 | |
69 | |
259 | |
268 | |
279 | |
291 | |
298 | |
307 | |
314 | |
321 | |
71 | |
75 | |
82 | |
89 | |
92 | |
99 | |
109 | |
124 | |
136 | |
144 | |
153 | |
161 | |
171 | |
177 | |
184 | |
192 | |
243 | |
249 | |
328 | |
337 | |
348 | |
357 | |
364 | |
370 | |
379 | |
386 | |
392 | |
398 | |
408 | |
414 | |
421 | |
428 | |
435 | |
441 | |
448 | |
Other editions - View all
Common terms and phrases
acres amount ANALYSIS annex Arithmetic barrels bought bushels ciphers column common denominator common fraction compound interest continued fraction cost currency decimal places diameter difference discount Divide dividend dollars DRY MEASURE equal exact divisors EXAMPLES FOR PRACTICE excess of 9's exchange expressed flour following RULE fraction whose denominator gain gallons given number gold greater number greatest common divisor Hence the following hundred improper fraction inches integers least common multiple lowest terms measure miles minuend mixed number months multiplicand Multiply notation NOTE number of terms obtain odd number OPERATION partial product payable payment pounds premium prime factors prime numbers principles Prob quantity quotient ratio Reduce remainder repetend result right hand figure rods sold square square miles standard subtract subtrahend TABLE tens third thousand weight whole number worth write yards
Popular passages
Page 247 - In any proportion, the product of the means equals the product of the extremes.
Page 422 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -turn and the three remainders together; the square root of the product is the area.
Page 433 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Page 353 - 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 385 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 95 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 169 - 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 399 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. EXAMPLES. 1. The extremes are 7 and 43, and the common difference is 4 ; what is the number of terms ? Ans.
Page 426 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 35 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.