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" 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? "
A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ... - Σελίδα 253
των Emerson Elbridge White - 1870 - 304 σελίδες
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An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - 1889 - 366 σελίδες
...329= 40x7 + 7* 1880 = 402 + 40 x 7 47s = 2209 = 402 + 2 x (40 x 7) + 7" In general, the square of any number composed of tens and units is equal to the square of tlie tens, plus twice the product of the tens by the units, plus the square of the units. I. Find the...

An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - 1893 - 360 σελίδες
...x 4 + 4 2 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...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 x 4 + 4 2 = (2 x 70 + 4) x 4. That is, if from...

Supplementary Work in Arithmetic ...

William Milford Giffin - 1893 - 336 σελίδες
...to the square of the units. Having thus taken it apart they can build it up again and tell her that the square of a number composed of tens and units is equal to the U8 + 2 TU + T*. Hold up each piece and let them tell what it is and they will give you the formula,...

Commercial Arithmetic

Oscar F. Williams - 1894 - 364 σελίδες
...to be 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
...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 figures, its 576(24 Aus square root has two...

A Complete Arithmetic: With Oral and Written Exercises

George Washington Hull - 1895 - 404 σελίδες
...x 5) + 5* = 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....

The Senior Arithmetic for Grammar Schools

Charles Edward White - 1897 - 312 σελίδες
...42) = 960 The cube of the units 48 = 64 8000 + 4800 + 960 + 64 = 13824 367. PRINCIPLE. — The cube of a number composed of tens and units is equal to the cube of the tens plus 3 times the square of the tens by the units, plus 3 times the tens by the square...

An Arithmetic for Preparatory Schools, High Schools and Academies

Charles Austin Hobbs - 1898 - 366 σελίδες
...= 402 + 2 x (40 x 7) + 72 In general, the square of any number composed of tens and units is eqnal to the square of the tens, plus twice the product...the tens by the units, plus the square of the units. I. Find the square root of 5329. 5329(70 + 3 = 73 Since the number consists 4900 of two periods, the...

Grammar School Arithmetic

Adelia Roberts Hornbrook - 1900 - 428 σελίδες
...20 2 + 2(20 x5) + 5 2 ? 34. 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...

An Elementary Course of Instruction for Mine Foremen and Pit Bosses

Floyd Davis - 1900 - 148 σελίδες
...used twice 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;...




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