| Elias Loomis - 1856 - 280 σελίδες
...whose square is a'+2ab+b'. Hence we see 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. Now the square of tens can give no significant figure in the first right-hand period ; the square of... | |
| Charles Davies - 1856 - 450 σελίδες
...When «o, decomposed, what IN its square equal to ' F 30 30 The square of a number is equal to ike 'square of the tens, plus twice the product of the tens by the units, plus the square of the units. The same may be shown by a figure : Let the line AB represent the 3 tens or 30, and BC the six units.... | |
| 1856 - 46 σελίδες
...multiplied by itself is called the square, or second power, of that number. The square of any number is equal to the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. 1. What is the product of 125 multiplied by... | |
| Charles Davies - 1857 - 408 σελίδες
...have, N=a + b; whence, by squaring both members, N* = a* + 2a6 + b* : Hence, the square of a number is equal to the square of the tens, plus twice the...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. 95i Let... | |
| Benjamin Greenleaf - 1857 - 452 σελίδες
...tens, hundreds, &c. of .the square root of the number. 2. The square of a number consisting O/TENS and UNITS 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... | |
| Benjamin Greenleaf - 1858 - 458 σελίδες
...units, tens, hundreds, &c. of the square root of the number. 2. The square of a number consisting O/TENS and UNITS 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... | |
| Benjamin Greenleaf - 1858 - 456 σελίδες
...lens, hundreds, &c. of the square root of the number. 2. The square of a number consisting O/"TENS and UNITS 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... | |
| Elias Loomis - 1858 - 394 σελίδες
...then, 841 is the square of a number composed of tens and units, it must contain the square of the lens, 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 the peculiar difficulty in determining... | |
| William Smyth - 1858 - 344 σελίδες
...= 2209. Thus the square of a number, consisting of units and tens, is composed of three parts, viz. the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. Thus in 2209, the square of 47, we have The... | |
| Charles Davies - 1860 - 412 σελίδες
...have, N=a + b; whence, by squaring both members, N2 = a* + 2ab + b2 : Hence, the square of a number is equal to the square of the tens, plus twice the...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 1... | |
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