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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. "
Essentials of Arithmetic, Oral and Written - Page 247
by John William McClymonds, David Rhys Jones - 1907 - 324 pages
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...EXPLANATION. We learned in Art. 371 that 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. The square of (20 + 4), or 242, is 202 + 2 X (20 X 4) +...
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The Bryant and Stratton Business Arithmetic

H. Bryant - 1881 - 574 pages
...used. 304. Observe further, that the square af any number separated into tens and units is equal to the square of the tens, plus twice the product of the tens by (he units, plus the square, of the units. (Art. 355, 1.) 36'J. These two principles concerning the...
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Complete Graded Arithmetic: Oral and Written, Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 450 pages
...625 _ 400 _,_ 200 + 35 RULE. — 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 by the units, plus the square of the units. j VOLUTION. ORAL EXERCISES. 720. l. What are the two equal...
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Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

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...
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A New Complete Arithmetic: Uniting Oral and Written Exercises

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....
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Fish's Arithmetic Number One[-two]: Oral and Written ..., Volume 2

Daniel W. Fish - Arithmetic - 1883 - 348 pages
...square of 20 + 7 or 27. PRINCIPLE.— TJie 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 units, plus the square of the units. Using t and u respectively to denote the tens and units...
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Complete Arithmetic Combining Oral and Written Exercises

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...
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Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 484 pages
...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...
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Numbers Applied, a Complete Arithmetic, Part 1

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....
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Numbers Applied

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...
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