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 Βιβλία Βιβλία 51 - 60 από 192 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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## The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1860 - 432 σελίδες
...40 the second, 240, is twice 40 multiplied by 3 ; and the third, 9, is the square of 3. Hence, III. The square of a number composed of tens and units...is equal to the square, of the tens, plus twice the tens multiplied by the units, plus the square of the units. By observing the manner in which the square...

## Elements of algebra: on the basis of M. Bourdon, embracing Sturm's and ...

Bourdon (Louis Pierre Marie, M.) - 1860 - 400 σελίδες
...both members, N* = a? + 2ab '+ 62 : Hence, the square of a number is equal to the square of the lens, plus twice the product of the tens by the units, plus the square of the units. For example, 78 = 70 + 8, hence, (78)2 = (70)2 + 2 x 70 x 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95* Let...

## New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1860 - 299 σελίδες
...2a;y + y~ - &• + (2x + y)y. That is, the number is equal to the square of the tens in its roots, plus twice the. product of the tens by the units, plus the square of the units. EXAMPLE. 1. Extract the square root of 6084. Since this number is composed of more than two places...

## The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1860 - 444 σελίδες
...hundreds, &c. of the square root of the number. 2. The square of a number consisting of TENS and UNIT'S is 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...

## A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - 1860 - 895 σελίδες
...second period 41, and annexing them on the right of 4, the result is 441, a number which contains tnice the product of the tens by the units, plus the square of the units. We may further prove, as in the last case, that if we point off the last figure 1, and divide the preceding...

## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1861 - 303 σελίδες
...Which proves that the square of a number composed of tens and units, equals the square of the lens plus twice the product of the tens by the units, plus the square of the units. 94. If now, we make the units 1, 2, 3, 4, &c., tens, or units of the second order, by annexing to each...

## Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - 1861 - 332 σελίδες
...2x 360 x5+(5)'= 129600+3600+25= 133225. In like manner it may be shown that the square of any number is equal to the square of the tens plus twice the product of tens by units plus the square of units. The two principles, above, determine the process of extracting...

## Common School Algebra

Thomas Sherwin - 1862
...+ 9 = 529. Hence, When a number contains units and tens, its second power contains the second power of the tens, plus twice the product of the tens by the units, plus the second power of the units. Let us now, by a reverse operation, deduce the root from the power. Operation....

## New Elementary Algebra: in which the First Principles of Analysis are ...

1863 - 324 σελίδες
...figures in the square root. 2141 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 bo denoted by a, and the units by Ь, the number will be denoted by a...

## Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - 1863 - 336 σελίδες
...the sum is, 33+ 2 (3 x 0) + 63: that is, 3 + 6 3 + 6 3x6 3' + 3 x 6 2(3x6) + 6 The square of a number is equal to the square of the tens plus twice the product of the tens by the units, plus th» square of the units. The same may be shown by the figure : Let the line AB represent the 3 tens...