The Elements of Arithmetic in Which Decimal and Integral Arithmetic Are Combined, and Taught Inductively; On the System of Pestalozzi. Part 1st [2d]. Volume 2

The Elements of Arithmetic in Which Decimal and Integral Arithmetic Are Combined, and Taught Inductively; On the System of Pestalozzi. Part 1st [2d]. 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: ... All perfect cubes from 1 to 1000, evidently have but one integral figure in their cube root. All numbers between 1000 or 103, amj 1000000 or 100', 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 T75 of an inch thick, to represent The Square Of The Tens Multiplied By The Units. 3. Three blocks, each T5 of an inch square and 3 inches long, to represent The Square Of The Units Multiplied By The Tens. 4. A cubical block, each side measuring J, of an inch, to represent THE CUBE OF THE UNITS. If block No. 1 be placed upon a table, the three blocks No. 2, laid against three of its sides, the three blocks No. 3, in the deficiencies left by No. 2, and No. 4 in the corner still unfilled, we shall have a new cube, which will represent The Cube Of The TENS, plus THREE TIMES THE SQUARE OF THE TENS MULTIPLIED BY THE UNITS, plus THREE TIMES THE SQUARE OF THE UNITS MULTIPLIED BY THE TENS, plui THE CUBE OF THE TENS. This set of blocks is readily applicable in showing the difference between 303 and 373. But it will be easily perceived that the same result would have been obtained, if, instead of 3 inches, and T'? of an inch, we had employed 4 inches, and j9 of an inch, --11 inches, and-fv of an inch, --or any other numbers to represent tens and units. Therefore, the cube of any number whatever is...show more

Product details

  • Paperback | 58 pages
  • 189 x 246 x 3mm | 122g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 123652781X
  • 9781236527813