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" 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 American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - 276 σελίδες
...for any other number, we conclude, 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. Q. Of what parts may every number be considered as composed ? What does 16 contain ? 25 ? 59? 125 ?...

An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - 1845 - 294 σελίδες
...it by adding it to the divisor : then multiplying the divisor thus completed by the units, we obtain twice the product of the tens by the units, plus the square of the units. Now if this quantity be greater than the tens of the dividend, the units in the root are too many,...

The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - 1846 - 399 σελίδες
...of the square AE, the two rectangles FE and EC, and the square ED. Hence, The square 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. Let it now be required to extract the square root of 1296. Since the number contains more than two...

A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1846 - 503 σελίδες
...3714 tens, plus two units.) Now the square of the root sought, that is, the proposed number, contains the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. But the square of the tens must give at least hundreds ; hence the last two figures, 44, can form no...

A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1846 - 503 σελίδες
...the second period 41, and annexing them on the right of 4, the result is 441, a number which contains twice the product of the tens by the units, plus the square of the units. We may farther prove, as ir the last case, that if we point off the last figure 1, and divide the preceding...

Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - 1846 - 340 σελίδες
...of the square AE, the two rectangles FE and EC, and the square ED : Hence The square of two figures is equal to the square of the tens, plus twice the product of tlie tens Jy the units, plus the square of the units. Let it now be required to extract the square...

Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 σελίδες
...+ 24000+3000+125 = 91125 283. On inspecting the above examples, it will be perceived that the cube of a number composed of tens and units is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times...

Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - 1847 - 360 σελίδες
...of the square AE, the two rectangles FE and EC, and the square ED. Hence, The square 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. Let it now be required to extract the square root of 1296. Since the number contains more than two...

A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1847 - 503 σελίδες
...118'4 0. which sh*>ws thnt the square of a number consisting of (ens and units is composed of tliK square of the. tens, plus twice the product of the tens by the units, j)lus tlic square of the units. This being premised, since the square of a certain number of tens must...

The American Arithmetic

James Robinson (of Boston.) - 1847
...tens ; hence, we infer that the second power of every number composed of tens and units must contain the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. We will now reverse the process of finding the...




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