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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Common School Algebra

Thomas Sherwin - 1862 - 252 σελίδες
...+ 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 ...

Benjamin Greenleaf - 1863 - 338 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 - 346 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...

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

Charles William Hackley - 1864 - 532 σελίδες
...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, pins the square of the units. But the square of the tens must give at least hundreds; hence the last...

A Treatise on Algebra

Elias Loomis - 1864 - 386 σελίδες
...the number of tens, whose square is 400; and if we subtract this from 529, the remainder 129 contains twice the product of the tens by the units, plus the square of the units. If, then, we divide this remainder by twice the tens, we shall obtain the units, or possibly a number...

University Arithmetic: Embracing the Science of Numbers, and General Rules ...

Charles Davies - 1865 - 468 σελίδες
...period, and subtract; this 85^42 5 takes away the square of the tens, and leaves 42 5 425, which is twice the product of the tens by the units plus the square of the units. If, now, we double the tens, and then divide the remainder, exclusive of the right-hand figure (since...

The Elements of Algebra: Designed for Beginners

Elias Loomis - 1868 - 312 σελίδες
...Hence we see that the square of a number composed of tens and units contains the square of the tent plus twice the product of the tens by the units, plus the square of the units. Now the square of tens can give no significant figure in the first right-hand period ; the square of...

A Treatise on Algebra

Elias Loomis - 1868 - 386 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 ly the units, plus the square of the units. But these three terms are blended together in 841, and...

University Arithmetic, Embracing the Science of Numbers, and General Rules ...

Charles Davies - 1869 - 492 σελίδες
...6) + 63 : that is, Rule. — The square of a number is equal to the square of the tens, plus turice the product of the tens by the units, plus the square of the units. 379. To find the square root of any number. 1. Let it now be required to extract the square root of...

The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 278 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...




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