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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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848 - 279 σελίδες
...and (a+4)2=(64)2; or Which proves 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. 94. If, now, we make the units 1, 2, 3, 4, &c, tens, or units of the second order, by annexing to each...

The Elements of Arithmetic...: In which Decimal and Integral ..., Μέρος 2

Pliny Earle Chase - 1848 - 240 σελίδες
...the 7 in the root, and also at the right of the divisor, we multiply by 7, and obtain 469, which is twice the product of the tens by the units plus the square of the units. Hence we deduce the following RULE. *• Separate the number into periods of two figures each, by placing...

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

Charles Davies - 1848 - 360 σελίδες
...rectangles FE and EC, and the square ED. Hence, 30 The square of two figures is equal to the square of ths tens, plus twice the product of the tens by the units, plus tht square of the units. Let it now be required to extract the square root of 1296. Since the number...

THE UNIVERSITY ARITHMETIC, EMBRACING THE SCIENCE OF NUMBERS, AND THEIR ...

CHARLES DAVIES, LL.D - 1850
...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...

ELEMENTARY ALGEBRA: EMBRACING THE FIRST PRINCIPLES OF THE SCIENCE.

CHARLES DAVIES - 1850
...1 , 0~ to which we bring down the two next figures 84. The result of this operation, 1184, contains twice the product of the tens by the units, plus the square of the units. But since tens multiplied by units cannot give a product, of a less name than tens, it follows that...

School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 336 σελίδες
...3x6+3', and the sum is 32+2(3 x 6)+62 : that is, 3 + 6 3 + 6 32+3x6 3'+2(3x6)+6 H The square of a number is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. The same may be shown by the figure : Let the line AB re- F 30 IP present the 3 tens or 30, and BC...

The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - 1853 - 316 σελίδες
...square of 45. Thus, 45 = 40+ 5 40+ 5 200 + 25 1600 + 200 Hence, 452 = 1600+400 +25=2025 Ans. That is, the square of the tens, plus twice the product of the tens into the units, plus the square of the units. 16. What is the 4th power of 12 ? Ans. 20,736. 17. Find...

A Treatise on Algebra

Elias Loomis - 1855 - 316 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 the peculiar difficulty in determining...

Common School Algebra

Thomas Sherwin - 1855
...+ 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....

Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - 1855 - 336 σελίδες
...= 2209. Thus the square of a number, consisting of units and tens, is composed of three parts, viz. the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. Thus in 2209, the square of 47, we have The...




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