 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
 | Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...the square of a number consisting 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. To prove the accuracy of the proposition, let the tens of a number be denoted by a, and the units by... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...number , consisting of more than one place of figures, is equal to the square of the tens, pint twice the product of the tens by the units, plus the square of the units. For, if the tens of a number be denoted by a, and the units by J, the number will be denoted by a—... | |
 | Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...the square of 32 ? NOTE. — The square of any 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. Thus, 32 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square... | |
 | William Frothingham Bradbury - Arithmetic - 1879 - 446 pages
...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 202, or 400, the remainder, 176,... | |
 | George E. Seymour - Arithmetic - 1880 - 332 pages
...square of any number consisting of tens and units is composed of the square of the tens, plus twice the product of the tens by the units, plus the square of the units. 488. From this general law it follows a. That if from the square of a number, the square of the tens... | |
 | Joseph Ray - Arithmetic - 1880 - 420 pages
...that 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. The square of (20 + 4), or 242, is 202 + 2 X (20 X 4) + 42. Now, if the square of the tens be taken... | |
 | James Bates Thomson - Arithmetic - 1882 - 450 pages
...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 by the units, plus the square of the units. j VOLUTION. ORAL EXERCISES. 720. l. What are the two equal factors of 9? 16? 25 i 2. Name the two equal... | |
 | Daniel W. Fish - Arithmetic - 1883 - 348 pages
...TJie square of a number consisting 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. Using t and u respectively to denote the tens and units of a number, we have the FORMULA : I" + 2 x... | |
 | Emerson Elbridge White - Arithmetic - 1883 - 374 pages
...and the result, 108, be multiplied by 8, the product, if it be not greater than 864, will be twice the product of the tens by the units, plus the square of the units. 108 X 8 = 864, and hence 8 is the units' term, and the square root of 3364 is 58. Proof: 58X58 = 3364.... | |
 | Indiana. State Board of Education - 1886 - 360 pages
...foregoing we find that 625, when compared with its square root, contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Q 2 = 81 From the squares in the margin we may 99 3 = 9801 infer that the square of any number con125... | |
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