 | Elias Loomis - Algebra - 1868 - 312 pages
...Hence we see that the square of a number composed of tens and units contains the square of the tent plus twice the product of the tens by the units, plus the square of the units. Now the square of tens can give no significant figure in the first right-hand period ; the square of... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...841 " 800+40+1. If, then, 841 is the square of a number composed of tens and units, it must contain the square of the tens, plus twice the product of the tens ly the units, plus the square of the units. But these three terms are blended together in 841, and... | |
 | Charles Davies - 1869 - 492 pages
...6) + 63 : that is, Rule. — The square of a number is equal to the square of the tens, plus turice the product of the tens by the units, plus the square of the units. 379. To find the square root of any number. 1. Let it now be required to extract the square root of... | |
 | Robert Wallace - 1870 - 164 pages
...or a2+2a6 + b-= 400+280+49=729. Hence the square of a number composed of tens and units consists of the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. If we reverse this process, we shall find the square root of the number. Thus we perceive that the... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...like manner, it may be shown that the square of any 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. 33. What is the square of 45 ? ( 402 - = 1600 PROCESS: 45' = ] JJ"*8 > = «J (. 2025, Ana. 34. What... | |
 | Charles Davies - Algebra - 1871 - 404 pages
...number of units, the 782 725 5714 4509 12054 4 12054 4 given number will, as before, be 150 3 equal to the square of the tens plus twice the product of the tens by 1506 8 the units plus the square of the units. If then, as before, we point off it period of two figures,... | |
 | Henry Beadman Bryant, Emerson Elbridge White, Corydon Giles Stowell - Business mathematics - 1872 - 576 pages
...used. 3fi4. Observe further, that (he square of any number separated into 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. 355, 1.) :>('>,'>. These two principles concerning the number of orders in any square, and the... | |
 | John Alexander Henderson - 1872 - 64 pages
...squaring any number consisting of tens and units. The square of such a number is equal to the Bquare of the tens, plus twice the product of the tens by the units, plus the square of the units. Thus 25 is composed of 2 tens or 20 and 5 units; and the 20 squared equals, 4:00 20 multiplied by 5... | |
 | George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...20" + 2 (20 x 5) + 5* ==25 squared = 625 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 the square of the units. 502. Now reverse the process. Find the sq. root of 625. According... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...841 " 800+40+1. If, then, 841 is the square of a number composed of tens and units, it must contain the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. But these three terms are blended together in 841, and hence arises the peculiar difficulty in determining... | |
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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. 
