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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. "
An Elementary Treatise on Algebra: For the Use of Students in High Schools ... - Page 134
by Thomas Sherwin - 1841 - 300 pages
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The Senior Arithmetic for Grammar Schools

Charles Edward White - Arithmetic - 1897 - 312 pages
...= 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 the following into...
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Heath's Complete Practical Arithmetic

Charles Edward White - Arithmetic - 1901 - 472 pages
...="576 418. 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. — Tens 2 + 2 x tens x units + units 2 . Separate the following into...
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New Practical Arithmetic

Eugene L. Dubbs - Arithmetic - 1901 - 462 pages
...hundreds, etc. PRINCIPLE II. 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. GEOMETRICAL ANALYSIS As 625 consists of three figures, its square root will contain...
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The Arithmetic Help, for Pupils, Teachers, Business Men

Alvord D. Robinson - Arithmetic - 1902 - 652 pages
...From this we learn that, The square of any number made up 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. This can be shown by the following diagram: — (Product of tent by units.) (Square...
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Elementary School Mathematics by Grades: Arithmetic, geometry, and algebra ...

William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...+ f>/ = 20 2 + 2 (20 x 5) +5 2 = 625 • The square of any number of two figures equals the square of the tens, plus twice the product of the tens by the units, plus the square of the units. We may illustrate square root geometrically. The square root of 625 is 25. Show...
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The Model Practical Arithmetic

Edward Gideon - 1902 - 272 pages
...+ 200 + 25 = 625. 386. Principles. The square of any number composed of tens and ones is the square of the tens, plus twice the product of the tens by the ones, plus the square of the ones. Note 1. — Since every number can be regarded as being composed...
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Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - Arithmetic - 1903 - 366 pages
...square of the tens; 2(10 x 6) Tlie square of a number consisting of 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. NOTES. — 1. 2(10 x 6) is the same as 2 x (10 x 6). See § 49. 2. When a number...
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Practical Business Arithmetic

John Henry Moore, George Washington Miner - Business mathematics - 1906 - 466 pages
...22= 1764 242. In the preceding process it is shown that the square of a 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. 243. I2 = 1 , 102 = 100, 1002 = 10000, and so on ; 92 = 81, 992 = 9801, 9992 =...
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Essentials of Business Arithmetic

George Henry Van Tuyl - Business mathematics - 1913 - 282 pages
...This result may be expressed as follows : The square of a 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. 10ft. 6° sq.ft. 25 g sq. ft. » lO°aq.ffc. | 50 «! sq. ft. ° 10ft. 5ft. EVOLUTION...
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Essentials of Business Arithmetic

George Henry Van Tuyl - Business mathematics - 1913 - 300 pages
...may be expressed as follows : The square of a number of two figures is equal to the square of tine tens plus twice the product of the tens by the units plus the square of the units. By careful inspection and application of this principle,- the square root of any...
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