 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 Geometry - Page 101by Adrien Marie Legendre - 1825 - 224 pagesFull view - About this book
 | Eugene L. Dubbs - Arithmetic - 1901 - 462 pages
...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
...— 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
...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 (the... | |
 | William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...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
...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
...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... | |
 | Gustavus Sylvester Kimball - Business mathematics - 1911 - 444 pages
...remainder; to this annex the next period 76, and the dividend is 176. This remainder is equal to twice the product of the tens by the units, plus the square of the units (350). Hence, 2 times 20 = 40, which forms the trial divisor, and which is contained in the dividend... | |
 | George Henry Van Tuyl - Business mathematics - 1913 - 296 pages
...expressed as follows : The square of a number of two Jigures is equal to the square of the tens phis twice the product of the tens by the units plus the square of the units. 10 ft. 80 sq.ft. sq. ft. « as e ioo«,ft, i GO «* sq,ft.S 10ft. 5ft. EVOLUTION 591. 1. Find the square... | |
 | William Henry Dooley - Mathematics - 1915 - 364 pages
...Root 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. tens' + 2 x tens x units + units' EXAMPLE. — What is the square root of 1225? 12'25(30 + 5 = 35 Separating... | |
 | George William Myers, George Edward Atwood - Algebra - 1916 - 362 pages
...Any square of three or four figures is equal to the square of the tens of its square root, plus twice the product of the tens by the units, plus the square of the units. For example, 572 = (50+7)2 = 502+2(50X7)+72 = 3249 54 76)70+4 a2 = 49 00 2a = 140 5 76 2a+6 = 144 5... | |
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