| Henry Beadman Bryant, Emerson Elbridge White, C. G. Stowell - Business mathematics - 1872 - 564 pages
...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, plus twice the product of the tens** by the units, plus the square of the units. (Art. 355, 1.) :>('>,'>. These two principles concerning... | |
| Benjamin Greenleaf - Mental arithmetic - 1872 - 180 pages
...is the square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. — The square of any number ¡я **equal to the square of the tens, plus twice the product of the tens** by the units, plus the square of the units. Thus, 82 is 3 tens and 2 units ; 3 tens, or 30, squared... | |
| George Payn Quackenbos, George Roberts Perkins - Arithmetic - 1872 - 336 pages
...2 (20 x 5) + 5* ==25 squared = 625 Hence, The square of a number composed of tens and units, equals **the square of the tens, plus twice the product of the tens** and units, plus the square of the units. 502. Now reverse the process. Find the sq. root of 625. According... | |
| Daniel Barnard Hagar - Algebra - 1873 - 263 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... | |
| Elias Loomis - Algebra - 1873 - 360 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... | |
| Charles Davies - Arithmetic - 1874 - 336 pages
...times, we have 3 * G+3-, and the sum is 32+2(3 x 6)+62 : thatis' 3« + 2(3x6)+6 The square of a number **is equal to the square of the tens, plus twice the product of the** lens by the units, plus the square of the units. The same may be shown by the figure : Let the line... | |
| William Guy Peck - Arithmetic - 1877 - 341 pages
...number depends on the following principle of algebra : 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. ROOTS. This may be illustrated geometrically. For, let... | |
| Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877
...square of the 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... | |
| Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 471 pages
...«'- : 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.... | |
| Edward Brooks - Arithmetic - 1877 - 542 pages
...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... | |
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