 | Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...«'- : hence we have the following FORMULA. — The square of a number expressed by two figures equals the square of the tens, plus twice the product of the tens by the units, plus the square of the units ; or, (t + «)2 = i2 + 2 tu + M2. WRITTEN EXEIiCISES. PROBLEM.... | |
 | Edward Brooks - Arithmetic - 1877 - 528 pages
...OPERATION. 45 = 45 = 225 = 180 40+5 40+5 40X5+52 = 40*+40X5 2025 = 402+2(40x5)+5a FQ the square of 45 equals the square of the tens, plus twice the product of the tens by the units, plus the square of the units, which we find to be 2025. SYNTHETIC SOLUTION. — Let the... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...of figures in the 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... | |
 | Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...What is the 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... | |
 | William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...From this example it can be seen that the square of a numbeï 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... | |
 | Joseph Ray - Arithmetic - 1880 - 420 pages
...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 202 + 2 X (20 X 4) +... | |
 | 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... | |
 | H. Bryant - 1881 - 574 pages
...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 concerning the... | |
 | Daniel W. Fish - Arithmetic - 1883 - 360 pages
...+ 7 2 729 = 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... | |
 | Daniel W. Fish - Arithmetic - 1883 - 348 pages
...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 the tens and units... | |
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The square 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. 
