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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' + 2 x tens x units + units "
The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ... - Σελίδα 383
των Horatio Nelson Robinson - 1868 - 456 σελίδες
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1875 - 472 σελίδες
...multiplied by 3 ; and the third, 9, is the square of ?. Hence, III. The square of a number composed of tens and units is equal to the square of the tens,...together, may therefore be factored, thus, 240 + 9 = (80 + 3) X 3. Hence, IV. If the square of the tens lie sulfr<n.teil from the entire square, the remainder...

Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - 1880 - 420 σελίδες
...first illustration. SECOND 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...

The Bryant and Stratton Business Arithmetic

H. Bryant - 1881 - 574 σελίδες
...for every two decimal places 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...

Complete Graded Arithmetic: Oral and Written : Upon the Inductive Method of ...

James Bates Thomson - 1882 - 416 σελίδες
...200 + 25 = 625, or 25 s . Hence, the 62g _ 400 + 200 + 35 RULB.—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. 1 VOLUTION. ORAL EXERCISES. 720. 1....

Complete Graded Arithmetic, Oral and Written: Upon the Inductive Method of ...

James Bates Thomson - 1882 - 416 σελίδες
...200 + 23 = 625, or 252. Hence, the 625 = 400 + 200 + 25 RULE. — The square of any number consisting of tens and units is equal to the square of the tens, plus tiuice the product of the tens by the units, plus the square of the units. 4. What is the square of...

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

Daniel W. Fish - 1883 - 348 σελίδες
...these partial products, is the 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...

A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - 1883 - 374 σελίδες
...65. 566.44? 75. 4.1209? 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 unite, plus the square of the units. ART. 362. To extract the square root...

Outlines of Number Science

Nathan Newby - 1884 - 206 σελίδες
...Remark. It is thus seen that the square of a number consisting of tent, units and tenths is composed of the square of the tens, plus twice the tens multiplied by the units, plus the square of the units, plus twice the sum of the tens and the units multiplied by the tenths, plus the square of the tenths....

An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - 1889 - 362 σελίδες
...1880 = 402 + 40 x 7 472 = 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 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...

An Advanced Arithmetic, Theoretical and Practical

James William Nicholson - 1889 - 408 σελίδες
...by M, we have the Formula: (< + «)2 = <2 + 2<« + U* . That is, the square of any number composed of tens and units is equal to the square of the tens, -(- twice the product of the tens by the units, -\- the square of the units. 34 = 34 = 30 + 4 : 30...




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