# Elements of Arithmetic; For Schools and Academies. in Which Decimal and Integral Arithmetic Are Combined, and Taught Inductively, on the System of Pestalozzi Volume 2

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1844 edition. Excerpt: ...by a 2. We may remark moreover, that the 2 must be preceded by 0, 2, or 6. (5.) The zeroes terminating any perfect square, must be of an even number. Therefore, no number terminating in an odd number of zeroes, can be a square number. And if the zeroes be even, unless they are preceded by a square number, the number itself is not a square. Thus 2500 is a square number, but 1500 is not. EXTRACTION OF THE CUBE ROOT. The cube root of a number is the number which, when raised to the third power, will produce the given number. In the following table are the numbers from 1 to 10 inclusive, and beneath them are their cubes, therefore the numbers of the second line have for their cube roots the numbers of the first. Roots 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Cubes 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000. Thus we see that there are only nine integral cubes between 1 and 1000. All the other intermediate integers are imperfect cubes, and their roots can only be obtained approximately. All perfect cubes from 1 to 1000, evidently have but one integral figure in their cube root. All numbers between 1000 or 103, and 1000000 or 1003, will have two figures in their root. And generally, if we divide a cube into periods of three figures each, by placing a point over units, and one over every third figure from units, the number of points will show the number of figures in the root. EXAMPLES FOR THE BOARD. In order properly to understand the principles of the cube root, the student should be provided with the following blocks: 1. A cubical block, each side measuring 3 inches, to represent the CUBE OF THE TENS. 2. Three blocks, each 3 inches square and T7ff of an inch thick, to represent The Square Of The Tens Multiplied By The Units. 3. Three blocks, each of an inch...show more

## Product details

• Paperback | 58 pages
• 189 x 246 x 3mm | 122g
• Miami Fl, United States
• English
• black & white illustrations
• 1236653114
• 9781236653116