 | George Payn Quackenbos - Arithmetic - 1874 - 444 pages
...ordinary way, we deduce the following law : — The square of a number composed of tens and units, equals the square of the tens, plus twice the product of the tens and units, plus the square of the units. The diagram in the margin will illustrate this law of numbers, by means of surfaces. Let AC be 16 feet,... | |
 | George Payn Quackenbos - Arithmetic - 1875 - 352 pages
...x 5) + 5" = 25 squared =~625 6i25 Hence, The square of a number composed of tens and units, equals the square of the tens, plus twice the product of the tens and units, plus tJie square of the units. 502. Now reverse the process. Find the sq. root of 625. According to § 600,... | |
 | 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... | |
 | 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.... | |
 | William Guy Peck - Arithmetic - 1877 - 430 pages
...the following principle of algebra : 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. ROOTS. This may be illustrated geometrically. For, let... | |
 | Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...units. This analysis indicates that the 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. To prove the accuracy of the proposition, let the tens... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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. 
