 | 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. โ 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... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...The greatest square in 33 is 25, and the square of 25 is 5. Hence, 5 is the tens' term of the root. The square of a number composed of tens and units...the tens by the units, plus the square of the units. (Art. 395.) Hence, the difference between 3364 and the square of the 5 tens of its root, is composed... | |
 | 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... | |
 | Charles Davies - Algebra - 1871 - 404 pages
...certain 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
...every two decimal places used. 3fi4. Observe further, that (he square of any number separated into tens and units is equal to the square of the tens,...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... | |
 | Benjamin Greenleaf - Mental arithmetic - 1872 - 192 pages
...is the square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. โ The square of any number ยกั equal to the square of the tens, plus twice the product...the tens by the units, plus the square of the units. Thus, 82 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square... | |
 | 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... | |
 | Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...According to Art. 331, 529 contains the 43)129 square of the tens, plus twice the tens rnul- 129 tiplied by the units, plus the square of the units. The square of the tens must be found in the hundred* of the number. Now, the square of 2 tens is 4 hundreds; and... | |
| |
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. 
