 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 σελίδες
...units. This analysis indicates that the square of a number consisting 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. To prove the accuracy of the proposition, let the tens of a number be denoted by a, and the units by... | |
 | 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... | |
 | Benjamin Greenleaf - 1879 - 350 σελίδες
...squave root. 214, The square of any number, consisting of more than one place of figures, is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. For, if the tens of a number be denoted by а, and the units by b, the number will be denoted by a... | |
 | 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... | |
 | Benjamin Greenleaf - 1879 - 190 σελίδες
...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 product of...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... | |
 | William Frothingham Bradbury - 1882 - 416 σελίδες
...tens figure ' of the root must be 2. Now, as the number 576 equals the square of the tens of the root, plus twice the product of the tens by the units plus the square of the units, if we subtract from 576 the square of the tens of the root, that is 202, or 400, the remainder, 176,... | |
 | George E. Seymour - 1880 - 332 σελίδες
...total product (20)2 + 2 (20X5) + (5)! 487. Hence, The square of any number consisting of tens and units is composed of the square of the tens, plus twice...the tens by the units, plus the square of the units. 488. From this general law it follows a. That if from the square of a number, the square of the tens... | |
 | Joseph Ray - 1880 - 420 σελίδες
...EXPLANATION. We learned in Art. 371 that 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. The square of (20 + 4), or 242, is 202 + 2 X (20 X 4) + 42. Now, if the square of the tens be taken... | |
 | H. Bryant - 1881 - 574 σελίδες
...used. 304. Observe further, that the square af any number separated into tens and units is equal to the square of the tens, plus twice the product of the tens by (he units, plus the square, of the units. (Art. 355, 1.) 36'J. These two principles concerning the... | |
 | James Bates Thomson - 1882 - 450 σελίδες
...625 _ 400 _,_ 200 + 35 RULE. — The square of any number consisting 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. j VOLUTION. ORAL EXERCISES. 720. l. What are the two equal factors of 9? 16? 25 i 2. Name the two equal... | |
| |
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. 
