 | Horatio Nelson Robinson - 1860 - 444 σελίδες
...40 the second, 240, is twice 40 multiplied by 3 ; and the third, 9, is the square of 3. Hence, III. The square of a number composed of tens and units...is equal to the square, of the tens, plus twice the tens multiplied by the units, plus the square of the units. By observing the manner in which the square... | |
 | Charles Davies - 1860 - 412 σελίδες
...both members, N* = a? + 2ab '+ 62 : Hence, the square of a number is equal to the square of the lens, plus twice the product of the tens by the units, plus the square of the units. For example, 78 = 70 + 8, hence, (78)2 = (70)2 + 2 x 70 x 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95* Let... | |
 | Charles Davies - 1860 - 330 σελίδες
...2a;y + y~ - &• + (2x + y)y. That is, the number is equal to the square of the tens in its roots, plus twice the. product of the tens by the units, plus the square of the units. EXAMPLE. 1. Extract the square root of 6084. Since this number is composed of more than two places... | |
 | Benjamin Greenleaf - 1860 - 456 σελίδες
...hundreds, &c. of the square root of the number. 2. The square of a number consisting of TENS and UNIT'S is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the... | |
 | Charles Hutton - 1860 - 1020 σελίδες
...second period 41, and annexing them on the right of 4, the result is 441, a number which contains tnice the product of the tens by the units, plus the square of the units. We may further prove, as in the last case, that if we point off the last figure 1, and divide the preceding... | |
 | Charles Davies - 1861 - 322 σελίδες
...Which proves that the square of a number composed of tens and units, equals the square of the lens plus twice the product of the tens by the units, plus the square of the units. 94. If now, we make the units 1, 2, 3, 4, &c., tens, or units of the second order, by annexing to each... | |
 | Emerson Elbridge White - 1861 - 348 σελίδες
...2x 360 x5+(5)'= 129600+3600+25= 133225. In like manner it may be shown that the square of any number is equal to the square of the tens plus twice the product of tens by units plus the square of units. The two principles, above, determine the process of extracting... | |
 | Thomas Sherwin - 1862 - 252 σελίδες
...+ 9 = 529. Hence, When a number contains units and tens, its second power contains the second power of the tens, plus twice the product of the tens by the units, plus the second power of the units. Let us now, by a reverse operation, deduce the root from the power. Operation.... | |
 | Benjamin Greenleaf - 1863 - 338 σελίδες
...figures in the square root. 2141 The square of any number, consisting of more than one place of figures, is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. For, if the tens of a number bo denoted by a, and the units by Ь, the number will be denoted by a... | |
 | Charles Davies - 1863 - 346 σελίδες
...the sum is, 33+ 2 (3 x 0) + 63: that is, 3 + 6 3 + 6 3x6 3' + 3 x 6 2(3x6) + 6 The square of a number is equal to the square of the tens plus twice the product of the tens by the units, plus th» square of the units. The same may be shown by the figure : Let the line AB represent the 3 tens... | |
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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? 
