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. A Treatise on Algebra - Page 139by Elias Loomis - 1873 - 360 pagesFull view - About this book
| William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...From this example it can be seen that the square of a numbeď 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. OPERATION. As 576 consists of three figures, its 576 (24 Aus square... | |
| Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. — The square of any 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.** Thus, 32 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square... | |
| Benjamin Greenleaf - Algebra - 1879 - 350 pages
...squave root. 214, The square of any number, consisting of more than one place of 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.** For, if the tens of a number be denoted by а, and the units by b, the number will be denoted by a... | |
| William Frothingham Bradbury - 1882 - 416 pages
...tens figure ' of the root must be 2. Now, as the number 576 equals the square of the tens of the root, **plus twice the product of the tens by the units plus the square of the units,** if we subtract from 576 the square of the tens of the root, that is 202, or 400, the remainder, 176,... | |
| 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) + 42. Now, if the square of the tens be taken... | |
| George E. Seymour - Arithmetic - 1880 - 332 pages
...+ 2 (20X5) + (5)! 487. Hence, The square of any number consisting of tens and units is composed of **the square of the tens, plus twice the product of...the tens by the units, plus the square of the units.** 488. From this general law it follows a. That if from the square of a number, the square of the tens... | |
| 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... | |
| 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 factors of 9? 16? 25 i 2. Name the two equal... | |
| James Bates Thomson - Arithmetic - 1882 - 416 pages
...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 34 in the terms of its tens and units? j VOLUTION. ORAL EXERCISES. 720. 1.... | |
| 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. Be<jin at the units ' order and sqmrate... | |
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