 | John Bernard Clarke - Algebra - 1889 - 566 pages
...from the remainder that part of the square of the tens plus the units not already subtracted, viz., twice the product of the tens by the units, plus the square of the units, on the principle indicated in (218). We thus have the following RULE.—Separate the given number into... | |
 | Charles Austin Hobbs - Arithmetic - 1889 - 370 pages
...143)429 from 5329, the remainder is 429 429. Since the square of the tens has been subtracted, 429 equals twice the product of the tens by the units plus the square of the units ; this is the same as twice the tens plus the units multiplied by the units. Thus the two factors of... | |
 | Webster Wells - Arithmetic - 1893 - 360 pages
...70 x 4 + 4 2 . That is, the square of any number of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. 196. It follows from Art. 197 that 74 2 - 70 2 = 2 x 70 x 4 + 4 2 = (2 x 70 + 4) x 4. That is, if from... | |
 | William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...the tens figure of the root must be 2. Now, as the number 576 equals the square of the tens of the root, plus twice the product of the tens by the units plus the square of the units, if we subtract from 576 the square of the tens of the root, that is 203, or 400, the remainder, 176,... | |
 | Charles Edward White - Arithmetic - 1897 - 312 pages
...PRINCIPLE. — The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. FORMULA. — Tens2 + 2 x tens x units -f- units2. Separate the following into tens and units, and-... | |
 | Eugene L. Dubbs - Arithmetic - 1901 - 462 pages
...PRINCIPLE II. The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. GEOMETRICAL ANALYSIS As 625 consists of three figures, its square root will contain two figures (Art.... | |
 | Charles Edward White - Arithmetic - 1901 - 472 pages
...PRINCIPLE. — The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. FORMULA. — Tens 2 + 2 x tens x units + units 2 . Separate the following into tens and units, and... | |
 | William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...+ 2 (20 x 5) +5 2 = 625 • The square of any number of two figures equals the square of the tens, plus twice the product of the tens by the units, plus the square of the units. We may illustrate square root geometrically. The square root of 625 is 25. Show that this illustration... | |
 | Alvord D. Robinson - Arithmetic - 1902 - 572 pages
...learn that, The square of any number made up of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. This can be shown by the following diagram : — (Product of tens by unite.) (Square of units, i A... | |
 | Joseph Ray - Arithmetic - 1903 - 366 pages
...tens; 2(10 x 6) Tlie square of a number consisting of tens and units equals the square of the tens plus twice the product of the tens by the units plus the square of the units. NOTES. — 1. 2(10 x 6) is the same as 2 x (10 x 6). See § 49. 2. When a number is separated into... | |
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Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units. 
