 | 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... | |
 | 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... | |
 | 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... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...is ioOOO, etc. 2. The square of any number expressed by more than one order of figures consists of the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. For any number expressed by more than one order of figures may be regarded as an algebraic polynomial,... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 348 pages
...shown that the square of any number, composed of tens and units, is equal to The square of the t&ns. plus twice the product of the tens by the units, plus the square of the units. 33. What is the square of 45? f402 =1600 PROCESS: 452 = ) = 400 ( 2025, Afts. 34. What is the square... | |
 | Charles Davies - Arithmetic - 1874 - 346 pages
...hundreds' place, and subtract , this takes _ away the square of the tens, and leaves 3'JG, 66)396 which is twice the product of the tens by the units plus the square of the units. If now, we double the divisor and then divide this remainder, exclusive of the right hand figure, (since... | |
 | 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... | |
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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. 
