 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.  Buker-Felter Arithmetics - Page 322by Eva F. Buker - 1915Full view - About this book
 | Daniel W. Fish - Arithmetic - 1883 - 360 pages
...20 2 + 2x 20x7 + 72 PRINCIPLE. — T/ie 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 umts, plus the square of the units. Using t and и respectively to denote the tens and units... | |
 | Emerson Elbridge White - Arithmetic - 1883 - 370 pages
...PRINCIPLE AND RULE. ART. 361. 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. ART. 362. To extract the square root of a number: Rule.—1.... | |
 | Indiana. State Board of Education - 1886 - 360 pages
...square of 25. By analyzing the 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... | |
 | Christian Brothers - Arithmetic - 1888 - 484 pages
...substituting letters, we get the result <* + 2<w + it8. Hence, The square of a number expressed by two figures, equals the square of the tens, plus twice the product of the tens into the units, plus the square of the units. In like manner find the square of each of the following... | |
 | Andrew Jackson Rickoff - Arithmetic - 1886 - 688 pages
...where we may find them in the product. Thus, In this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. v- Q It may be shown that the same is true of any number.... | |
 | Andrew Jackson Rickoff - 1888 - 464 pages
...where we may find them in the product. Thus, in this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. It may be shown that the same is true of any number. Raise... | |
 | 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.... | |
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