 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.  Elements of Algebra - Page 112by Bourdon (M., Louis Pierre Marie) - 1839 - 324 pagesFull view - About this book
 | Charles Davies - Algebra - 1889 - 330 pages
...found the tens, we subtract their square from the given number, and the remainder will be made up of twice the product of the tens by the units plus the square of the units. To find the units, divide -the remainder by twice the tens, and the quotient will be the units, or... | |
 | Webster Wells - Arithmetic - 1893 - 382 pages
...x 4 + 42. 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. 198. It follows from Art. 197 that 742 - 702 = 2 x 70 x 4 + 42 = (2 x 70 + 4) x 4. That is, if from... | |
 | William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...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... | |
 | 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... | |
 | William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...(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... | |
 | 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... | |
 | John Henry Moore, George Washington Miner - Business mathematics - 1906 - 466 pages
...the preceding process it is shown that the square of a number is equal to the square of the tens plus twice the product of the tens by the units, plus the square of the units. 243. I2 = 1 , 102 = 100, 1002 = 10000, and so on ; 92 = 81, 992 = 9801, 9992 = 998001, and so on. It... | |
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