 | Charles Scott Venable - Arithmetic - 1888 - 402 pages
...may require three places in the third power. III. The square of a number containing tens is equal to the square of the tens plus twice the product of the tens by the units plus the square of the units. IV. The cube of a number containing tens and units equals... | |
 | Charles Austin Hobbs - Arithmetic - 1889 - 370 pages
...402 + 2 x (40 x 7) + 72 In general, the square of any 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. I. Find the square root of 5329. 5329(70 + 3 = 73 Since... | |
 | Webster Wells - Arithmetic - 1893 - 360 pages
...Whence, 74 2 = 70 2 + 2 x 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... | |
 | Oscar F. Williams - Arithmetic - 1894 - 364 pages
...squared. 436. General Principles. — The square of any number composed of two or more figures is equal to the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. 437. Units and Squares Compared. UNITS. SQUARES.... | |
 | William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...From this example it can bе seen that the square of a numbef whose figures are 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. 86. Find the square root of 576. As 576 consists of three... | |
 | George Washington Hull - Arithmetic - 1895 - 404 pages
...400 + 200 + 25 = 625. 202 H 5 That is, the square of any number composed of two figures is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Draw a figure and square the following numbers : 38.... | |
 | Charles Edward White - Arithmetic - 1897 - 312 pages
...+ 160 + 16 = 576 353. 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... | |
 | Floyd Davis - Mining engineering - 1900 - 148 pages
...as a factor gives 40 + 5 40 + 5 40 x 5 + 52 40 2 + 40 x 5 40 2 + 2 (40 x 5 ) + 52. This is equal to the square of the tens, plus twice the product of the tens and units, plus the square of the units. Q. 54. What is the cube of 62? A. 62 may be written 60 + 2; hence 62 3 — ( 60 + 2 )'. This used three... | |
 | Adelia Roberts Hornbrook - Arithmetic - 1900 - 428 pages
...Illustrate the following principle: The square of any number consisting of tens and units is equal to the square of the tens plus twice the product of the tens and units plus the square of the units. This principle may be expressed by the following formula: (t + «) a = P + 2 tu + w 2 . By the use... | |
 | Samuel Wesley Baird - Arithmetic - 1901 - 388 pages
...whose square is 1600. This, subtracted from 2025, leaves 425, which, according to Art. 628, must equal twice the product of the tens and units, plus the square of the units. To find the units we must divide 425 by twice the tens, or 80. Dividing 425 by 80, we find the units... | |
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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. 
