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. A Treatise on Algebra - Page 139by Elias Loomis - 1873 - 360 pagesFull view - About this book
| Daniel W. Fish - Arithmetic - 1883 - 348 pages
...square of 20 + 7 or 27. PRINCIPLE.— TJie 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.** Using t and u respectively to denote the tens and units of a number, we have the FORMULA : I" + 2 x... | |
| Daniel W. Fish - Arithmetic - 1883 - 364 pages
...27. 729 = x 20 x7 + 72 PRINCIPLE. — 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** ths square of the units. Using t and u respectively to denote the tens and units of a number, we have... | |
| Emerson Elbridge White - Arithmetic - 1883 - 368 pages
...AND RULE. ART. 361. Principle. — The square of a number, composed of tens and unite, is equal to **the square of the tens, plus twice the product of the tens by the** unit*, plus the square of the units. ART. 362. To extract the square root of a number: Rule. — 1.... | |
| Daniel W. Fish - Arithmetic - 1883 - 360 pages
...20 2 + 2x 20x7 + 72 PRINCIPLE. — T/ie 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** umts, plus the square of the units. Using t and и respectively to denote the tens and units of a number,... | |
| Indiana. State Board of Education - 1886 - 360 pages
...square of 25. By analyzing the foregoing we find that 625, when compared with its square root, contains **the square of the tens, plus twice the product of...the tens by the units, plus the square of the units.** Q 2 = 81 From the squares in the margin we may 99 3 = 9801 infer that the square of any number con125... | |
| Andrew Jackson Rickoff - Arithmetic - 1886 - 688 pages
...where we may find them in the product. Thus, In this case we see that 365. The square of 43 is equal to **the square of the tens, plus twice the product of...the tens by the units, plus the square of the units.** v- Q It may be shown that the same is true of any number. Raise the following numbers to the second... | |
| Christian Brothers - Arithmetic - 1888 - 484 pages
...letters, we get the result <* + 2<w + it8. Hence, The square of a number expressed by two figures, equals **the square of the tens, plus twice the product of the tens** into the units, plus the square of the units. In like manner find the square of each of the following... | |
| Andrew Jackson Rickoff - 1888 - 464 pages
...where we may find them in the product. Thus, in this case we see that 365. The square of 43 is equal to **the square of the tens, plus twice the product of...the tens by the units, plus the square of the units.** It may be shown that the same is true of any number. Raise the following numbers to the second power,... | |
| Charles Scott Venable - Arithmetic - 1888 - 402 pages
...may require three places in the third power. III. The square of a number containing tens is equal to **the square of the tens plus twice the product of the tens by the units plus the square of the units.** IV. The cube of a number containing tens and units equals the cube of the tens plus three times the... | |
| Charles Austin Hobbs - Arithmetic - 1889 - 370 pages
...402 + 2 x (40 x 7) + 72 In general, 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.** I. Find the square root of 5329. 5329(70 + 3 = 73 Since the number consists 490O of two periods, the... | |
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