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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. "
Arithmetic Designed for Academies and Schools: With Answers - Page 245
by Charles Davies - 1844 - 340 pages
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Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...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...
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A Complete Arithmetic: With Oral and Written Exercises

George Washington Hull - Arithmetic - 1895 - 404 pages
...consist of + 2 x (20 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....
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A Complete Arithmetic: With Oral and Written Exercises

George Washington Hull - Arithmetic - 1895 - 408 pages
...20' + 2 x (20 x 5) + 5' 400 + 200 + 25 = 625. 20 zo H 5 B That is, the square of any number composed of two figures is equal to the square of the tens, plus tivice the product of the tens into the units, plus the square of the units. Draw a figure and square...
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The Senior Arithmetic for Grammar Schools

Charles Edward White - Arithmetic - 1897 - 312 pages
.... 4 = 16 400 + 160 + 16 = 576 353. PRINCIPLE. — The square of a number composed of tens and units is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. FORMULA. — Tens2 + 2 x tens x units -f- units2. Separate the following into tens and units, and-...
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An Arithmetic for Preparatory Schools, High Schools and Academies

Charles Austin Hobbs - 1898 - 366 pages
...= 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...
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An Elementary Course of Instruction for Mine Foremen and Pit Bosses

Floyd Davis - Mining engineering - 1900 - 148 pages
...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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New Practical Arithmetic

Eugene L. Dubbs - Arithmetic - 1901 - 462 pages
...period the square of the 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...the tens by the units, plus the square of the units. GEOMETRICAL ANALYSIS As 625 consists of three figures, its square root will contain two figures (Art....
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Heath's Complete Practical Arithmetic

Charles Edward White - Arithmetic - 1901 - 472 pages
...4 2 = 16 400 + 160 + 16 ="576 418. PRINCIPLE. — The square of a number composed of tens and units is equal to the square of the tens, plus twice the...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 tens and units, and...
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The Arithmetic Help, for Pupils, Teachers, Business Men

Alvord D. Robinson - Arithmetic - 1902 - 572 pages
...- 10a + 2 (10 x 2) + 2a 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...the tens by the units, plus the square of the units. This can be shown by the following diagram : — (Product of tens by unite.) (Square of units, i A...
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Elementary School Mathematics by Grades: Arithmetic, geometry, and algebra ...

William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...25 2 = (20 + 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 that this illustration...
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