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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. "
A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins - Σελίδα 305
των George Payn Quackenbos - 1872 - 336 σελίδες
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Sadlers̓ Hand-book of Arithmetic: Containing the Principles of Arithmetic ...

Warren H. Sadler, William Russell Will - 1885 - 422 σελίδες
...root of a number is found by reversing the following process by which its square was obtained : \l>] The square of a number composed of tens and units equals the square of the iene + TWiCK theproduct oflhe tens into the units-\-lhe square of the units. [e] If, commencing with...

Complete Arithmetic Combining Oral and Written Exercises

Indiana. State Board of Education - 1886 - 360 σελίδες
...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...

Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - 1888 - 484 σελίδες
...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...

Numbers Applied, a Complete Arithmetic, Μέρος 1

Andrew Jackson Rickoff - 1886 - 688 σελίδες
...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....

Numbers Applied

Andrew Jackson Rickoff - 1888 - 464 σελίδες
...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...

Practical Arithmetic

Charles Scott Venable - 1888 - 402 σελίδες
...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...

An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - 1889 - 370 σελίδες
...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...

An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - 1893 - 360 σελίδες
...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...

Commercial Arithmetic

Oscar F. Williams - 1894 - 364 σελίδες
...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....

Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - 1895 - 398 σελίδες
...+ 2 (20 X 4) + 4« 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...




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