 | Horatio Nelson Robinson - 1875 - 462 σελίδες
...is 3 times 50 multiplied by the square of 4, and the fourth is the cube of 4. Hence, III. The cube of a number composed of tens and units is equal to the cube of the tens, plus three times the square of the tens multiplied by the units, plus three times... | |
 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 σελίδες
...= 25 = the square of the units. 225 This analysis indicates that the square of a number consisting of tens and units is equal to the square of the tens,...the tens by the units, plus the square of the units. To . prove the accuracy of the proposition, let the tens of a number be denoted by a, and the units... | |
 | Edward Brooks - 1877 - 528 σελίδες
...OPERATION. 45 = 45 = 225 = 180 40+5 40+5 40X5+52 = 40*+40X5 2025 = 402+2(40x5)+5a FQ the square of 45 equals the square of the tens, plus twice the product of...the tens by the units, plus the square of the units, which we find to be 2025. SYNTHETIC SOLUTION. — Let the line AB represent a length of 40 units, and... | |
 | Stoddard A. Felter, Samuel Ashbel Farrand - 1877 - 496 σελίδες
...«'- : hence we have the following FORMULA. — The square of a number expressed by two figures equals the square of the tens, plus twice the product of...the tens by the units, plus the square of the units ; or, (t + «)2 = i2 + 2 tu + M2. WRITTEN EXEIiCISES. PROBLEM. — Write the square of 85. PKOCESS.... | |
 | William Guy Peck - 1877 - 430 σελίδες
...method of finding the cube root of a number depends on the following principle of algebra: The cube of a number composed of tens and units is equal to the cube of the tens, plus three times the product of the squares of the tens by the units, plus three... | |
 | Benjamin Greenleaf - 1878 - 468 σελίδες
...hundreds, &c. of the square root of the number. 2. The square of a number consisting O/"TENS and UNITS if. 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 - 1879 - 190 σελίδες
...What is the square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. — The square of any number is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. Thus, 32 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square... | |
 | Benjamin Greenleaf - 1879 - 322 σελίδες
...figures in the square root. 211, 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 be denoted by a, and the units by b, the number will be denoted by a -f-... | |
 | William Frothingham Bradbury - 1879 - 392 σελίδες
...From this example it can be seen that the square of a numbeï whose figures are tens and units equals The square of the tens plus twice the product of the tens by the units plus the square of the units. 86. Find the square root of 576. OPERATION. As 576 consists of three figures, its 576 (24 Aus square... | |
 | Elias Loomis - 1879 - 398 σελίδες
...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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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? 
