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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. "
Vocational Mathematics for Girls - Σελίδα 62
των William Henry Dooley - 1917 - 369 σελίδες
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 272 σελίδες
...1. What is the square of a quantity? Art. 93. 2. Define the Square Root of a quantity. Art. 93. 3. The square of a Number composed of tens and units is equal to what? Art. 94. 4. Illustrate the last question by squaring 64. 5. Also by squaring 365. 6. Extract...

Elements of algebra

Robert Wallace - 1870 - 164 σελίδες
...or a2+2a6 + b-= 400+280+49=729. Hence the square of a number composed of tens and units consists of the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. If we reverse this process, we shall find the square root of the number. Thus we perceive that the...

A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - 1870 - 350 σελίδες
...of which is 6 ; hence, 6 is the tens' term of the root. How is the units' term to be found? 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...

Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1871 - 404 σελίδες
...certain number of units, the 782 725 5714 4509 12054 4 12054 4 given number will, as before, be 150 3 equal to the square of the tens plus twice the product of the tens by 1506 8 the units plus the square of the units. If then, as before, we point off it period of two figures,...

The Bryant and Stratton Business Arithmetic: A New Work, with Practical ...

Henry Beadman Bryant, Emerson Elbridge White, Corydon Giles Stowell - 1872 - 576 σελίδες
...every two 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,...the tens by the units, plus the square of the units. (Art. 355, 1.) :>('>,'>. These two principles concerning the number of orders in any square, and the...

A Mental Arithmetic, on the Inductive Plan: Being an Advanced Intellectual ...

Benjamin Greenleaf - 1872 - 192 σελίδες
...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...the tens by the units, plus the square of the units. Thus, 82 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square...

Henderson & Hamlin's Lightning Calculator: Containing the Shortest, Simplest ...

John Alexander Henderson - 1872 - 64 σελίδες
...squaring any number consisting of tens and units. The square of such a number is equal to the Bquare of the tens, plus twice the product of the tens by the units, plus the square of the units. Thus 25 is composed of 2 tens or 20 and 5 units; and the 20 squared equals, 4:00 20 multiplied by 5...

A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - 1872 - 350 σελίδες
...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...

An Elementary Algebra

Daniel Barnard Hagar - 1873 - 278 σελίδες
...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 may be regarded as an algebraic polynomial,...

A Treatise on Algebra

Elias Loomis - 1873 - 396 σελίδες
...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 hence arises the peculiar difficulty in determining...




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