 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.  Elements of Algebra - Page 1121838 - 355 pagesFull view - About this book
 | 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,... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...root, and y the units; then will that is, the number is equal to the square of the tens in its root, plus twice the product of the tens by the units, plus the square of the units. We first find the tens of the root. Since the square of tens can contain no significant figure less... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...point. If we subtract the square of the tens from the given number, the remainder will be equal to twice the product of the tens by the units, plus the square of the units. Consequently, if we divide the remainder by twice the tens, the quotient will give the units, or a... | |
 | Benjamin Greenleaf - 1875 - 196 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 Ъу the units, plus the square of the units. Thus, 32 is 3 tens and 2 units ; 3 tens, or 30, squared... | |
 | 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 line AB represent a length of 40 units, and... | |
 | 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. — Write the square of 85. PKOCESS.... | |
 | 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 A be a square, each of whose sides is equal... | |
 | 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 of a number be denoted by a, and the units by... | |
 | 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 of three figures, its 576 (24 Aus 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... | |
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