Report of the Superintendent of Public Instruction Volume 31

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1877 edition. Excerpt: ...to dividing by ten), thus: 1,2,6,4,3,8,5= 1 myriameter, 2 kilometers, 6 hectometers, 4 dekameters, 3 meters, 8 decimeters, and 5 centimeters, or =1.264385 myriameters. Now, put in contrast with this brief and simple operation, the process necessary in a corresponding reduction under the system now in use. Reduce 1264385 inches to miles. Operation. 12)1264385 3)108032+1 inch. 5 =y-)36010+2 ft. 2 11)72024 40)6547+3 halves of yd.=l yd. 8)163+27 rods. 20+3 furlongs. 20 miles, 3 furlongs, 27 rods, 1 yards, 2 feet, and 1 inch.--Answer. To complete the illustration, let us reverse the problem. It is required to reduce 1 myriameter, 2 kilometers, 6 hectometers, 4 dekameters, 3 meters, 8 decimeters, and 5 centimeters to centimeters. The operation is performed by simply setting down these numbers in their order, thus: 1264385 centimeters. Answer. Reduce 20 miles, 3 furlongs, 27 rods, 1 yards, 2 feet, and 1 inch, to inches. The operation under the present system is as follows: m. f. r. yd. ft. in. 20 3 37 1 2 1 8 1264385 inches. Answer. With such a comparison of the two systems before us, there can be no doubt which has the advantage in facility and brevity. When one has learned the rate of increase or decrease in a single table, he has learned it for all, for they are all the same. And the learning of this will occupy but a moment, for he has always to multiply or divide by 10. The pupil has not to keep a different set of numbers for each table in his mind, as in the present system. Nor are his operations ever encumbered with fractions as in the old system. When he has once learned this new system, not only has he learned the legal system of his own country, but that, also, of many other nations. The only thing which can be...show more

Product details

• Paperback | 66 pages
• 189 x 246 x 4mm | 136g
• United States
• English
• black & white illustrations
• 1236772105
• 9781236772107