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Βιβλία Βιβλία 101 - 110 από 171 για The square of a number composed of tens and units is equal to the square of the tens,....
" 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? "
A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ... - Σελίδα 253
των Emerson Elbridge White - 1870 - 340 σελίδες
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Complete Arithmetic: Elements and Commercial. New Series

1888
...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...

Numbers Applied

Andrew Jackson Rickoff - 1888 - 235 σελίδες
...to see 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...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,...

Practical Arithmetic

Charles Scott Venable - 1888 - 376 σελίδες
...cube root 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...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...

An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - 1889 - 343 σελίδες
...329= 40x7 + 72 1880 = 402 + 40 x 7 472 = 2209 = 402 + 2 x (40 x 7) + 7* In general, the square of any number composed of tens and units is equal to the...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 4900 of two periods, the...

University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 320 σελίδες
...x2 + Ixy + y2 = x2 + (2x + y)y. That is, the number is equal to the square of the tens in its root, plus twice the product of the tens by the units, plus the square of the units. We first find the tens of the root. Since the square of tens can contain no significant figure less...

An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - 1889 - 343 σελίδες
...143)429 from 5329, the remainder is 429 429. Since the square of the tens has been subtracted, 429 equals twice the product of the tens by the units plus the square of the units ; this is the same as twice the tens plus the units multiplied by the units. Thus the two factors of...

Algebra for the Use of High Schools, Academies and Colleges

John Bernard Clarke - 1889 - 481 σελίδες
...from the remainder that part of the square of the tens plus the units not already subtracted, viz., twice the product of the tens by the units, plus the square of the units, on the principle indicated in (218). We thus have the following RULE.—Separate the given number into...

An Advanced Arithmetic, Theoretical and Practical

James William Nicholson - 1889 - 395 σελίδες
...t, and the units by M, we have the Formula: (< + «)2 = <2 + 2<« + U* . That is, the square of any number composed of tens and units is equal to the square of the tens, -(- twice the product of the tens by the units, -\- the square of the units. 34 = 34 = 30 + 4 : 30...

An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - 1889 - 343 σελίδες
...329= 40x7 + 7* 1880 = 402 + 40 x 7 47s = 2209 = 402 + 2 x (40 x 7) + 7" In general, the square of any number composed of tens and units is equal to the square of tlie tens, plus twice the product of the tens by the units, plus the square of the units. I. Find the...

An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - 1893 - 339 σελίδες
...x 4 + 4 2 Whence, 74 2 = 70 2 + 2 x 70 x 4 + 4 2 . That is, the square of any number of two figures is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. 196. It follows from Art. 197 that 74 2 - 70 2 = 2 x 70 x 4 + 4 2 = (2 x 70 + 4) x 4. That is, if from...




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